Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.

Help! Will Mark Brainliest!Check All That Are Solutions To 0.25 0.5sin(2x) And Over 0 X 360.

Answers

Answer 1

Answer:

A C E

Step-by-step explanation:

I'm a little late but I hope this still helps!

Answer 2

Answer:

yeah what he said. A C E

Step-by-step explanation:

I just did the assignment and its right


Related Questions

Kody’s alarm rings every 11 minutes, and his dad calls upstairs every 15 minutes to wake him up. But Kody will only wake up if his alarm rings and his dad calls him at the same time. If his alarm first rings at 7:00 a.m. and his dad first calls him at 7:05 a.m., at what time will Kody wake up?

Answers

Answer:

10:15

Step-by-step explanation:

Answer:

10:15 i thnk

Step-by-step explanation:

A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300

A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.What

Answers

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

An AlienWare computer cost $4,200. You have a 35% coupon for their products. How much are you able to purchase the computer for?

Answers

Answer:

$1470 coupon of their product I have

A parabola opening up or down has vertex (0,–2) and passes through (-8,14). Write its equation in vertex form.

Answers

The equation of the parabola in vertex form is y = (1/4)x² - 2.

A parabola is a symmetrical curve with a U- or smile-shaped shape. It is a particular kind of conic section, a shape created by cutting a cone with a plane.

The set of all points in a plane that are equally distant from a fixed point (referred to as the focus) and a fixed line is known as a parabola (called the directrix).

The vertex form of the equation of a parabola with vertex (h,k) is given by:

y = a(x - h)² + k

where "a" is a constant that determines whether the parabola opens up or down (if "a" is positive, the parabola opens up, and if "a" is negative, the parabola opens down).

We are given that the vertex of the parabola is (0,-2), so we have:

h = 0 and k = -2

We are also given that the parabola passes through the point (-8,14). We can use this information to find the value of "a". Substituting the coordinates of the point into the equation, we get:

14 = a(-8 - 0)² - 2

Simplifying:

14 = 64a - 2

16 = 64a

a = 16/64

a = 1/4

Now that we have found the value of "a", we can write the equation of the parabola in vertex form:

y = (1/4)x² - 2

Therefore, the equation of the parabola in vertex form is y = (1/4)x² - 2.

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The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three

Answers

Answer:

1. The function that gives the lion population size P(t), t years from today is:

P(t) = 325(0.95)^t

2. To find the population in 4 years, we can substitute t=4 in the function:

P(4) = 325(0.95)^4

P(4) = 279.14

So the population will be approximately 279 lions in 4 years.

3. The exponential function for all three years is the same as in part 1:

P(t) = 325(0.95)^t

URGENT-50 POINTS + brainly
What is the sum of the series sum from n equals 1 to infinity of negative 3 times three eighths to the n power question mark

URGENT-50 POINTS + brainlyWhat is the sum of the series sum from n equals 1 to infinity of negative 3

Answers

Answer:

\(\textsf{A)} \quad -\dfrac{9}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Given sum:

\(\displaystyle \sum^{\infty}_{n=1} -3\left(\dfrac{3}{8}\right)^n\)

Therefore, the first term in the series is:

\(a_1=-3\left(\dfrac{3}{8}\right)^1=-\dfrac{9}{8}\)

The common ratio, r, is:

\(r=\dfrac{3}{8}\)

Substitute the first term, a, and common ratio, r, into the formula:

\(\implies S_{\infty}=\dfrac{-\frac{9}{8}}{1-\frac{3}{8}}\)

\(\implies S_{\infty}=\dfrac{-\frac{9}{8}}{\frac{5}{8}}\)

\(\implies S_{\infty}=-\dfrac{9}{5}\)

Therefore, the sum of the given series is:

\(-\dfrac{9}{5}\)

A fence with 2 gates in it surrounds a lion enclosure.

Each gate is 4 m wide.
an image

What is the length of the fence around the enclosure not including the gates?

Answers

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2 ?

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2 ?

Answers

Answer: -2

Step-by-step explanation:  The average rate of a function f(x)  from x=a to x=b is given as:

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

Hence, the average rate of change is calculated as:

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:

-2

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is,

⇒ 2

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

Graph of quadratic function is shown.

Now, By graph we have;

⇒ f (0) = 5

And, f (2) = 1

Hence, The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is,

⇒  f(2) - f (0) / (2 - 0)

⇒ (5 - 1) / 2

⇒ 4/2

⇒ 2

Thus, The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is,

⇒ 2

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10/7p+13/8+15/2p=909/56 i NEED THiS solving multi step equations w fractions and #8 PLEASE

10/7p+13/8+15/2p=909/56 i NEED THiS solving multi step equations w fractions and #8 PLEASE

Answers

Answer:

P= 2

Step-by-step explanation:

10/7p+13/8+15/2p=-909/56

Combine like terms

10/7p+15/2p=-909/56-13/8

20p+105p/14=-909-13*7/56

125/14p=-909-91/56

125/14p= -1000/56

125/14p*14/125= -1000/56*14/125

simplify

P= 8/4=2

And for #8 n =1 I answered this question it

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Sara Moon is a video editor who earns $63,840 annually. She is married, has 2 dependents, and her state tax rate is 4%.

Answers

Answer:

The answer is below

Step-by-step explanation:

Use the Exemption amounts in Figure 2.2 on page 132 to find the (a) amount for exemptions and (b) annual state income taxes.

The exemptions are shown in the image below.

a) We can see that the exemptions for a married person is $4000 and $2000 per dependent. Since there are 2 dependents therefore:

Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)

Amount for exemptions = $4000 + $4000 = $8000

Amount for exemptions = $8000

b) Taxable wages = Annual gross pay - Exemptions

Taxable wages = $63840 - $8000 = $55840

Annual state income taxes = Taxable wages × State tax rate

Annual state income taxes = $55840 × 4% = $2233.6

Sara Moon is a video editor who earns $63,840 annually. She is married, has 2 dependents, and her state

what is 1,623 x 2,908? please help

Answers

Answer:

1,623 x 2,908 = 4,719,684

Answer:

4719684

Step-by-step explanation:

Tell me if you want one.

You sell the shoes pictured during your 6-hour shift. The prices are:

$99.99

$199.99

$219.99

$189.99

You earn $12.50 per hour and you make a 10% commission on your sales. How much did you earn in all during your shift?

Answers

Answer:

\(6 \times 12.5 = 75\)

The total price in shoe sales equals $709.96

10% of $709.96 is $71 after rounding up.

$71 plus $75=$146

answer-$146

In which month was the average number of hours worked by the website designers closest to 50 hours

- January

- February

- March

- April

Answers

The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

What is a month?

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Albinism in humans is autosomal and fully recessive to normal color. A couple, who are both normal, have a daughter who is albino and a son who is normal. The couple wants to have 3 more children. What is the probability that they will have 3 normal girls?

Answers

The probability that the couple will have 3 normal girls is approximately 0.422

Since both parents are normal, they both have to be heterozygous carriers for the recessive allele that causes albinism. We can represent the normal allele with the letter N and the albino allele with the letter n. Then, we can write the genotypes of the parents as Nn x Nn.

The daughter is albino, so her genotype must be nn. The son is normal, so his genotype must be Nn.

We want to find the probability that the couple will have 3 normal girls. We can use the multiplication rule of probability to find this probability:

P(3 normal girls) = P(normal girl) x P(normal girl) x P(normal girl)

The probability of having a normal girl is 3/4 since there are three possible genotypes that result in a normal phenotype (NN, Nn, Nn) out of a total of four possible genotypes. The probability of having a normal boy is also 3/4, for the same reason.

Therefore, the probability of having 3 normal children (in this case, girls) is:

P(3 normal girls) = (3/4) x (3/4) x (3/4) = 27/64 ≈ 0.422

So, the probability that the couple will have 3 normal girls is approximately 0.422, or about 42.2%.

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Question 2 Select the correct statement(s) about the Model Evaluation stage of the data science methodology.

Answers

Answer:

where is the whole question

f(x) = x2. Find the inverse of f(x).

f(x) = x2. Find the inverse of f(x).

Answers

Answer:

option C

Step-by-step explanation:

f (x) = x - 2

y = x - 2

x = y -2

y - 2 = x

y = x + 2

-1

f (x) = x + 2

Your answer would be C f(x)^-1=x+2
There are a couple steps to finding the inverse of a function,
1. Re write as a linear equation
2. Swap x and y variables
3. Solve for y
4. Re write in inverse notation

Hope this helped!

What is the quotient 8 x 4 − 12 x 2 − 16 x 4 x , where x ≠ 0 ?

Answers

Answer:

that = 8 and if you want to see more you can go on

Question 2
The down payment makes the monthly loan payment fit into Isabel’s budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment (with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Answers

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C​

Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization

Answers

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

What is a production possibilities curve?

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Technology is fixed.Resources are fixed.

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.

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Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization

Find the area of the isosceles trapezoid.
10 cm
9 cm
18 cm
OA.126 cm²
OB.91 cm²
OC. 252 cm²
OD. 63 cm2

Find the area of the isosceles trapezoid.10 cm9 cm18 cmOA.126 cmOB.91 cmOC. 252 cmOD. 63 cm2

Answers

Step-by-step explanation:

therefore, the correct option should be A.

Find the area of the isosceles trapezoid.10 cm9 cm18 cmOA.126 cmOB.91 cmOC. 252 cmOD. 63 cm2

HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER

HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER
HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST FOR THE CORRECT ANSWER

Answers

Answer:

25 is the correct answer.

Step-by-step explanation:

15 ÷ 3 = 5, so there are 5 brownies in each box. For 5 boxes, we have 25 brownies.

Let qui = Pr(x1 = i) denote the marginal probabilities for X1, 91 = (q11..., q1K) (a (1 x K) row vector), and similarly for 92 and 93. 10b. Show 92 = 91P and q3 = 9,P2 Which of the following arguments shows the claim q2 = 9P? (a) 92i = Pr(X2 = i) = Pr(x1 = j,X2 = i)/Pr(X; = j) = Pr(X2 = i|X1 = j) = Pji (b) 92 = 2; PxG) Pxz|x; (i | X1 = j) = 8; 91jPji (c) q2i = Pr(X2 = i) = Pr(X1 = ||X2 = i)/[Pr(X2 = i)Pr(X2 = i|X1 = j)] = Pr(X2 = i) = ; Pr(X 1 = j,X2 = i) (e) none of these (d) 92 =

Answers

Using the transition probability matrix for calculating marginal probability, Option (b) shows the claim q2 = 91P.

We know that

92i = Pr(X2 = i)

= ∑j Pr(X1 = j, X2 = i)

= ∑j Pr(X1 = j) Pr(X2 = i | X1 = j)

= ∑j 91j Pji.

Multiplying 91 by the transition probability matrix P, we get 92 = 91P. Therefore, 92i = ∑j 91j Pji, which is the same as the expression we derived earlier for 92i.

Thus, we can conclude that q2 = 92, and using the expression for 92 derived above, we can also see that q2 = 91P, which is the claim we were asked to prove.

Options (a) and (c) are incorrect because they do not show the relationship between 92 and 91P. Option (d) is incorrect because there is a correct answer.

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Complete Question:

Let qui = Pr(x1 = i) denote the marginal probabilities for X1, 91 = (q11..., q1K) (a (1 x K) row vector), and similarly for 92 and 93. 10b. Show 92 = 91P and q3 = 9,P2 Which of the following arguments shows the claim q2 = 9P?

(a) 92i = Pr(X2 = i) = Pr(x1 = j,X2 = i)/Pr(X; = j) = Pr(X2 = i|X1 = j) = Pji

(b) 92 = 2; PxG) Pxz|x; (i | X1 = j) = 8; 91jPji

(c) q2i = Pr(X2 = i) = Pr(X1 = ||X2 = i)/[Pr(X2 = i)Pr(X2 = i|X1 = j)] = Pr(X2 = i) = ; Pr(X 1 = j,X2 = i)

(d) none of these

istribute and simplify these radicals square root 12 times (-1+ square root 5)

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

7(4p+2q+3r) apply the distributive property to create an equivalent expression

Answers

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip

y4Solve for y.Then, find the side lengths of thelargest triangle.Fill in the green blank.8X2+28yy[?]XEnterHelpSkip

Answers

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Solve for x and y in the diagrams below.

Solve for x and y in the diagrams below.

Answers

1. x = 13, y = 11.5

2. x = 39, y = 123

Step-By-Step Explanation: For the first diagram, you can see that 10x - 42 = 6x + 10 by way of vertical angles. Vertical angles are two opposite angles created by the same two lines, meaning that they will ALWAYS be congruent. Solving for x, you get that 4x = 52, or that x = 13. There is another thing. Both of the diagrams have a total angle measurement of 360, since they both go all the way around. Knowing that, 6x + 10 + 8y must be equal to half of that, or 180. Solving for 88 + 8y = 180 (since you know the value of x), you know that 8y = 92, or x = 11.5.

For number two, the concept is very similar, but this time there's more angles. You can immediately see that there are 3 pairs of vertical angles. The value of the angle squishes between the x - 10 and the 3x + 6 is x - 11; again, vertical angles. The angle squished between 3x + 6 and x - 11 is x - 10 (vertical angles!). Last, you know that 3 x + 6 = y, since they are vertical angles. Combining 2(x-11) and 2(x-10) and 2(3x+6) [remember, y = 3x + 6!!], you get that 10 x = 390, and x = 39. Plug that in for the value of y, which is 3x + 6, giving you 123 degrees.

Can you please give me more answers?

Answers

Answer:

more answers on wht

Step-by-step explanation:

Answer:

wdym more answers ? there isn't a question

Step-by-step explanation:

The line PQ has equation 3x - 2y = 12 Pis the point with coordinates (6, 3) and Q is the point with coordinates (- 2, k)

a) Find the value of k.

Answers

Answer:

k = - 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given equation of PQ is

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide through by - 2 )

y = \(\frac{3}{2}\) x - 6 ← in slope- intercept form

with slope m = \(\frac{3}{2}\)

now calculate the slope of PQ using the slope formula and equate to \(\frac{3}{2}\)

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = P (6, 3 ) and (x₂, y₂ ) = Q (- 2, k )

m = \(\frac{k-3}{-2-6}\) = \(\frac{k-3}{-8}\)

equating the slopes of PQ

\(\frac{k-3}{-8}\) = \(\frac{3}{2}\) ( cross- multiply )

2(k - 3) = - 8 × 3 = - 24 ( divide both sides by 2 )

k - 3 = - 12 ( add 3 to both sides )

k = - 9

what is the missing lengths for the problems?

what is the missing lengths for the problems?

Answers

Answer:

≈5.6

Step-by-step explanation:

Use ratios: 4/3 = 7.5/x

3 times 7.5 then divide by 4 to get 5.6

Let me know if this helped you out!

In the figure, m∠4=74°
and m∠3=43°
. Find m∠1
and m∠2
.

In the figure, m4=74 and m3=43 . Find m1 and m2 .

Answers

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

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