Mathematics College

Can someone help me

Answers

Answer 1

9514 1404 393

Answer:

vertical50°

Step-by-step explanation:

Angles BGC and FGE share vertex G and are composed of opposite rays. This makes them vertical angles.

Angle BGC and CGD make up a right angle, so they are complementary. That makes angle BGC equal to 90° -40° = 50°.

Vertical angles have the same measure, so ∠FGE = 50°.

Related Questions

Please help and explain

True or False: The magnitude of a resultant vector will always be larger than individual vectors that are both in the first quadrant

Answers

Answer:true

Step-by-step explanation:

the correct answer is true.

how do u graph the solution y=2x-1 iready

Answers

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree

Answers

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle $= \frac{180}{3} = 60$\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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PLEASE HELP ???
????

Answers

Answer:

Option (3)

Step-by-step explanation:

From the given figure,

Two triangles ΔABC and ΔDEF are similar.

ΔABC ~ ΔDEF

By the definition of similarity of two triangles, corresponding sides of the similar triangles are in the same ratio.

$\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

Now from this relation,

$\frac{BC}{EF}=\frac{AC}{DF}$

$\frac{DF}{EF}=\frac{AC}{BC}$

Therefore, Option (3) will be the correct proportionality statement.

(-1, 4) and (-2, 2).

Answers

Answer:

Slope : 2

slope-intercept: y = 2x + 6

Point-slope (as asked): y - 4 = 2 (times) (x + 1)

standered: 2x - y = -6

Step-by-step explanation:

Find the magnitude and direction of the vector using the given information. V=<6,7>

Answers

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

Vector Quantities:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

$ \tan( \theta) = \frac{x}{y} $

$\theta = {tan}^{ - 1} ( \frac{6}{7}) $

$\theta = {40.6°}$

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Factor the polynomial 8x² − 24x − 224 completely. help now!

Answers

Answer:

8 ( x − 7 ) ( x + 4 )

Step-by-step explanation:

Sally started with $100 and is saving for a new Uggs. The first month she had $124, the next month $148, and by the third month she had $172 saved. Write an explicit rule to represent how much she saves each month.

An = 100n + 24

An = 24n + 124

An = 124n + 24

An = 24n + 100

Answers

the 4th one (An=24+100)

What is the value of y = 3x -1 when x is equal to 4?

Answers

Answer:

Step-by-step explanation:

Por mera logica

Answer:

Step-by-step explanation:

3 X 4 = 12

12-1 = 11

Order of operations says you multiply first.

The problem tells you that x = 4

multiply 3 and 4= 12

next take the answer and subtract 1 to get 11

Apply the square root principle to solve (x – 3)2 + 9 = 0.

a. x = 3 + 3i, 3 – 3i

b. x = 0, –6

c. x = 0, 6

d. x = –3 + 3i, –3 – 3i

Answers

Answer:

Step-by-step explanation:

First, let's simplify the equation:

(x – 3)² + 9 = 0

(x – 3)² = -9

Now we can apply the square root principle:

x – 3 = ±√(-9)

x – 3 = ±3i

Solving for x:

x = 3 ± 3i

Therefore, the answer is (a) x = 3 + 3i, 3 – 3i.

Can I please get help with this equation And the solution to solve it. Pls and thanks

Answers

Answer
I think it’s 169

Answer: Solution for 5x-8=2 equation:

5x - 8 = 2

5x = 2 + 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

i need serious help someone pleaseeeee

Answers

The value of c in the polynomial is - 7.

How to solve polynomials?

The polynomial is given as follows:

p(x) = 2x³ - x² + cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² + cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² + cx + 2

Hence,

2(2)³ - (2)² + 2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Mr. Gupta gave his students a quiz with three questions on it. Let
�
XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of
�
XX along with summary statistics:
�
=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text
0
00
1
11
2
22
3
33
�
(
�
)
P(X)P, left parenthesis, X, right parenthesis
0.05
0.050, point, 05
0.20
0.200, point, 20
0.50
0.500, point, 50
0.25
0.250, point, 25
Mean:
�
�
=
1.95
μ
X

=1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation:
�
�
≈
0.8
σ
X

≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving
10
1010 points for each correct question. He also plans to give every student
5
55 additional bonus points. Let
�
YY represent a random student's score.
What are the mean and standard deviation of
�
YY?

Answers

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

How to answer the aforementioned question

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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Select the two real roots of the polynomial function
S(r) = 5 +44 - 137³-10² - 12r + 72.
Or=-6; r = 2
Or=2; r = 6
Or=-6; T=-2
Or= -1; r = 6
Or= -2; r = 1

Answers

The real roots of the polynomial function are (a) r = -6 and r = 2

How to determine the real roots of the polynomial function

From the question, we have the following polynomial function that can be used in our computation:

s(r) = r^5 + 4r^4 - 13r^3 - 10r^2 - 12r + 72

At the real roots of the polynomial function, the following must be true

s(r) = 0

Using the above as a guide, we have the following:

Next, we test the options

Option (a)

s(-6) = (-6)^5 + 4(-6)^4 - 13(-6)^3 - 10(-6)^2 - 12(-6) + 72 = 0

s(2) = (2)^5 + 4(2)^4 - 13(2)^3 - 10(2)^2 - 12(2) + 72 = 0

See that s(-6) and s(2) have the values of 0

Hence, the real roots are s = -6 and s = 2

Answers

Answer:

$ 3.75

Step-by-step explanation:

divide 10.50 by 2.8 which gives us 3.75

Answer:

B $ 3.75

Step-by-step explanation:

hope it helps you

How many employees did it have a title and round your answer to the nearest whole number

Answers

From the given question,

The employees in the one country is, 12900 and it is the 24.2% of the total employee.

So,

Suppose x is the total number of the employees in the company.

Then,

$24.2\text{\% of x=12900}$

then,

$\begin{gathered} 24.2\text{\% of x=12900} \\ x=\frac{12900}{24.2\text{ \%}} \\ x=\frac{12900}{0.242} \\ x=53,306 \end{gathered}$

Hence, the value of total employess is 53,306.

Pls help I need a good grade

Answers

Answer:

1) a

6x - 28 》 14

<=> 6x 》 42

<=> x 》 7

2) c

x/9 + 2 < 5

<=> x/9 < 3

<=> x < 27

Step-by-step explanation:

....... .........

When data consist of percentages, ratios, compounded growth rates, or other rates of change, the geometric mean is a useful measure of central tendency. For n data values, the geometric mean, assuming all data values are positive, is as follows. To find the average growth factor over 5 years of an investment in a mutual fund with growth rates of 10.5% the first year, 12.1% the second year, 13.5% the third year, 3.5% the fourth year, and 7.3% the fifth year, take the geometric mean of 1.105, 1.121, 1.135, 1.035, and 1.073. Find the average growth factor of this investment. (Round your answer to four decimal places.)

Answers

Answer: 1.09

Step-by-step explanation:

Given the following :

Year__growth rate ___growth factor

1 ______10.5% _____ 100%+10.5%

2______12.1%______ 100%+12. 1%

3______13.5%______ 100%+13.5%

4______3.5%_______ 100%+3.5%

5______7.3%_______ 100%+7.3%

The geometric mean:

(Product of the n data values)^(1/n)

Where n = number of data values

For the data above, the average growth factor :

n = 5

(1.105×1.121×1.135×1.035×1.073)^(1/5)

= (1.561362785497125)^(1/5)

= 1.0932028

= 1.09

Hence, average growth factor = 1.09

QUESTION 4 (15) (Answer the Question on the Answer Sheet provided) Suppose the conjecture "The line parallel to one side of a triangle divides the other no sides in proportion works in all scenarios. Use this conjecture and other theorems established in earlier grades to calculate the following with reasons where applicable 4.) In the diagram alongside QP YZ. OZ = 15cm and XP = Sem. It is further given that XY is 35cm Determine the length of 4.1.1 PY (1) 4 13 12 (3)

Answers

Answer:687.09 dollars

Step-by-step explanation:

In 2005, an area vocational school had an enrollment of 325 men and 123 women. In 2006, there were 149 women. What was the percent increase of women students? Your final answer should be rounded to the nearest whole percent.

Answers

The answer to this question mark will do it all in a few weeks to make it happen again this week at the end

The percent increase of women students is 21.13%.

Given that, an area vocational school had an enrollment of 325 men and 123 women.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

In 2006, there were 149 women.

Percentage increase = (New value - original value)/Original value × 100

= (149-123)/123 × 100

= 26/123 × 100

= 21.13%

Therefore, the percent increase of women students is 21.13%.

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Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?

She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.

Answers

3/8 - (1/16 + 1/4) = 3/8 - 5/16 = 3/16

Which graph displays points that correspond to the x and y values in the table?

Answers

hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful

Determine the greatest common factor of the given expressions.
75m^4p^6(-m + n)
65m^4 n^5(-m + n)^5

Answers

Answer:

75m^4 p^6

Step-by-step explanation:

Makayla is a botanist studying production of coconuts by two different groups of her coconut palms. She notices that Group 1 trees produce 25 percent more coconuts than Group 2. based on Makayla's observation, if Group 1 produced 150 coconuts, how many coconuts did group 2 produce?

Answers

If Group 1 trees produce 25 percent more coconuts than Group 2, proportionately, Group 2 trees produce 120 coconuts.

What is proportion?

Proportion refers to the two ratios equated to each other.

Proportion shows how much quantity or value is contained in another.

We depict proportions using fractional values, such as fractions, decimals, and percentages.

The number of coconuts produced by Group 1 trees = 150

The percentage by which Group 1 trees produce more than Group 2 = 25%

Let Group 1's production compared to Group 2's = 1.25 (100% + 25%)

Let Group 2's production = 100% = 150/125 x 100

= 120 coconuts

Thus, Group 2 trees would produce 120 coconuts compared to Group 1 trees that produced 150, which was proportionately, 25% more.

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0.7 is 0.5% of what number?

Answers

...............140...............

140. Hope this helps !!(:

can someone help me on this?

Answers

Answer:

Step-by-step explanation:

A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?

Answers

Answer:

Step-by-step explanation:

Which property of multiplication is shown?
6 x 5 = 5 x 6

Answers

Answer:

Commutative Property of Multiplication

I hope this helps you :D

Commutative

The commutative property tells us that two addition and multiplication sentences are equal no matter the order.

For example:

3+4=4+3

6 x 5= 5 x 6

Hope this helps. Please give brainiest.

Kash bought 6 notebooks for $15.00. How many notebooks can his sister buy with $10.00?

Answers

Answer:

Step-by-step explanation:

Making this problem into a proportion we get:

6/$15 = x/$10

Cross multiply 10 and 6, we get 60. Now divide that by 15, you get 4.

If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?

1:10 p.m.

12:30 p.m.

12:30 a.m.

1:20 a.m.

Answers

Answer:

1:10 p.m.

Step-by-step explanation:

First, add 20 minutes to 8:50 a.m. That would be 9:10 a.m. Then, add the remaining 4 hours to the 9:10 a.m. to get your answer- 1:10 p.m.

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