4. (MCC.G.5) Name the relationship between the angles below: *
X
y
Alternating Exterior
Alternating Interior
O Consecutive Interior
O Vertical

Answer:

x = -1/3

Step-by-step explanation:

3x + 1 = 0

you move the 1 to the other side of the equal sign

3x = -1

then you divide both sides with 3

x = -1/3

Answer:

nine crore eighty seven lakh forty five thousand six hundred thirty two is the answer

The area of the triangle in terms of 'x' will be (x² + 13x + 28) / 2.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The area of the triangle is given as,

A = 1/2 [(x + 4)(x + 7)]

Simplify the equation, then we have

A = [(x + 4)(x + 7)] / 2

A = (x² + 7x + 4x + 28) / 2

A = (x² + 13x + 28) / 2

The area of the triangle in terms of 'x' will be (x² + 13x + 28) / 2.

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The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

A. 19

Step-by-step explanation:

edge 2020

The dot product of the vector u and v is 19 if option (A) is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have:

On a coordinate plane, vector u has an origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

Vector u = <(7-0, (8-0)> = <7, 8>

Siimilarly, v = <-3, 5>

u · v = (7×(-3)) + (8×5) = -21 + 40 = 19

Thus, the dot product of the vector u and v is 19 if option (A) is correct.

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The length of a single chain link in centimeters is 61cm

Fractions are written as a ratio of two integers. Given the following information;

Total chain length = 1000chain

If the length of the chain is 0.061km, the length of each single chain link is expressed as:

Single chain = length of chain/1000

Single chain = 0.061km/1000

Single chain = 0.000061km

Convert to cm

0.000061km = 0.000061 * 10^6 cm

0.000061km = 61cm

Hence the length of a single chain link in centimeters is 61cm

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Answers:

You may or may not have to type in the word "degrees", and/or use the degree symbol. I would ask your teacher for clarification.

A diagram is shown below.

============================================================

Explanation:

We'll need the law of cosines to solve for angle A.

a^2 = b^2 + c^2 - 2*b*c*cos(A)

17^2 = 36^2 + 45^2 - 2*36*45*cos(A)

289 = 3321 - 3240*cos(A)

289 - 3321  = -3240*cos(A)

-3032  = -3240*cos(A)

-3240*cos(A) = -3032

cos(A) = (-3032)/(-3240)

cos(A) = 0.935802

A = arccos(0.935802)

A = 20.64 degrees

which is approximate to 2 decimal places.

Note: The "arccos" refers to "arccosine" which is the same as inverse cosine (denoted as \(\cos^{-1}\) on many calculators).

-----------------------------

Do a similar set of steps for angle B.

b^2 = a^2 + c^2 - 2*a*c*cos(B)

36^2 = 17^2 + 45^2 - 2*17*45*cos(B)

1296 = 2314 - 1530*cos(B)

1296 - 2314  = -1530*cos(B)

-1018  = -1530*cos(B)

-1530*cos(B) = -1018

cos(B) = (-1018)/(-1530)

cos(B) = 0.665359

B = arccos(0.665359)

B = 48.29 degrees

Also approximate to 2 decimal places.

-----------------------------

As you can probably guess by now, we could use the law of cosines to find angle C. But a much quicker shortcut is to use the fact that for any triangle, the interior angles always add to 180 degrees.

This shortcut is only possible since we know the two other angles.

Solve for C.

A+B+C = 180

C = 180-A-B

C = 180 - 20.64 - 48.29

C = 111.07 degrees

Like the others, this is approximate to 2 decimal places.

You can use a graphing tool like GeoGebra to confirm the answers. See below. Due to the SSS (side side side) triangle congruence theorem, only one triangle is possible. This means only one answer is possible per angle.

Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Answer:

it is a

Step-by-step explanation:

A coordinate plane with a line passing through the points (0, negative 1, 0) and (4, 0). What is the equation of the graphed line written in standard form? x – 4y = 4 x + 4y = 4 y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1 y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x –

Answer:

A

Step-by-step explanation:

I put the first option on a graphing calculator and it was correct.

160,000 / 677 = 293.88 months

Hope this helps.

One serving of tomato juice has mg of more vitamin C per serving is 90mg.

We are given that;

Tomato juice percentage of vit c

Now,

The Daily Value (DV) for vitamin C is 90 mg for adults and children aged 4 and older. This value is used to calculate the percent DV that you see on nutrition labels. So, if one serving (1 cup or 240 ml) of 100% canned tomato juice contains 74% of the DV for vitamin C, this means that one serving contains approximately 66.6 mg of vitamin C

Solving this calculation;

0.74 x 90 mg = 66.6 mg

The DV for vitamin C=90 mg.

Therefore, by percentage the answer will be 90mg.

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Answer:

s ≈ 11.13 in

General Formulas and Concepts:

Pre-Algebra

Geometry

Area of a Square Formula: A = s²

Step-by-step explanation:

Step 1: Define

Identify

A = 124 in²

Step 2: Solve for s

Here BD is perpendicular bisector

So

\(\\ \tt\hookrightarrow UV=74+74=148\)

Apply Pythagorean theorem

\(\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2\)

\(\\ \tt\hookrightarrow TC^2=TD^2-CD^2\)

\(\\ \tt\hookrightarrow TC^2=78^2-30^2\)

\(\\ \tt\hookrightarrow TC^2=6084-900=5184\)

\(\\ \tt\hookrightarrow TC=72\)

Answer:

UV = 148

VD = 78

TC = 72

Step-by-step explanation:

BD is the perpendicular bisector of side UV.

Therefore, ΔUDV is an isosceles triangle.

This implies that UD = VD and BV = UB so UV = 2 x BV

ΔUDC is a right triangle.

Given CD = 30 and UD = 78,

and using Pythagoras' Theorem, we can calculate UC:

UC = √(UD² - CD²)

⇒ UC = √(78² - 30²)

⇒ UC = 72

CD is the perpendicular bisector of side UT.

Therefore, ΔUDT is an isosceles triangle, so UC = TC

Since UC = 72, then TC = 72

Answer:

4/1440 or 1/360

Step-by-step explanation:

A day has 24 hours and 60 minutes in each hour.

24 × 60 = 1440

I hope this helps.

Answer:

4/1440 or 1/360

Step-by-step explanation:

one day have 24hr .when we convert it to minutes,it becomes 1440minutes. so fraction of 4 min in a day us 4/1440 or in equavalent fraction 1/360.

Answer:

The discounted TV would cost $200 because the 20% discount takes off $50

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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D. Y= 4/3 (x)+4

The first step i did was finding C for the standard form equation of a linear function which is:

y=mx+c

Finding C is easy because C is simply the y-intercept(The point that crosses the y axis) which we can see from the graph is 4.

That allowed me to isolate possible answers of B and D because they contain a C which is equal to 4.

To determine which equation it was, i substituted an X coordinate to see if i got the correct Y coordinate from the graph.

Lets try B first and substitute the coordinate -3:

3/4 ×(-3)+4=1.75

As we see thats incorrect because the coordinate on the graph is (-3;0).

So we can conclude it is not b, however lets try D.

4/3 (-3)+4=0.

We see that this equation gives us the correct answer.

So therefore the correct equation is D

4/3 (x)+4

Answer:

Step-by-step explanation:

24^2 + b^2 = 40^2

576 + b^2 = 1600

b^2 = 1024

b = 32

32

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

a= 24 , b= b , c=40

In order to find b, you have to change the equation a bit. Your new equation will look like \( {c}^{2} - {a}^{2} = {b}^{2} \)

here is the step by step now

\( {40}^{2} - {24}^{2} = {b}^{2} \)

\( {1600} - {576} = {b}^{2} \)

\( {1024} = {b}^{2} \)

**now you need to take the square root of both sides and you get 32**

Answer:

4800 yard squared

Step-by-step explanation:

80 times 60= 4800

To find the critical value that Leo should use, we proceed as follows:

- We find the p value, which is:

p = 25/500 = 0.05

-Next we use the p value to find the alpha value:

alpha = 2 * p = 2 * 0.05

alpha= 0.10

Therefore, the confidence interval that Leo should use is:

1 -0.10 = 0.90 = 90%

Now, for a 90% confidence interval, from the t -tables, the appropriate critical value is 1.645

Thus: z* = 1.645

Answer:

1.7n +28.5

Step-by-step explanation:

you compare like terms first

1.5n add it to 2n

it will equal to 1.7

then add 16.5 to 12

it will equal to 28.5

Your new equation will be

1.7n+ 28.5 if it was equal to something let's say it was equal to 180 as an example:

your equation will be

1.7n + 28.5= 180

-28.5= -28.5

1.7n= 151.5 you would divide it

it would equal 89.1 and change.

Answer: The answer is B

Step-by-step explanation:

Answer:

the probability of rolling a sum of 6 with these dice is 1/6.

Step-by-step explanation:

To find the probability of rolling a sum of 6 with the given pair of dice, we can first list all possible pairs of outcomes that add up to 6:

(2,4)

(3,3)

(4,2)

For each of these pairs, we need to find the probability of rolling each number on its respective die and then multiply those probabilities together. The probability of rolling a particular number on one die is the number of times that number appears on that die divided by the total number of outcomes on that die.

For the first pair (2,4), the probability is:

(2 appears twice on one die out of six possible outcomes) × (4 appears once on the other die out of six possible outcomes) = (2/6) × (1/6) = 1/18

For the second pair (3,3), the probability is:

(3 appears twice on one die out of six possible outcomes) × (3 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

For the third pair (4,2), the probability is:

(4 appears twice on one die out of six possible outcomes) × (2 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

The total probability of rolling a sum of 6 is the sum of the probabilities of each possible pair:

1/18 + 4/36 + 4/36 = 1/6

Therefore, the probability of rolling a sum of 6 with these dice is 1/6.

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

The value of X is 4/5 if point P is on the unit circle and if the coordinate of P is -3/5 and P is in iV quadrant.

We know that unit circle is the circle of radius 1 unit. We are given the y-coordinate of P, that is y = -3/5. Now if we draw a perpendicular line at x-axis, and we know the length of line joining the P and the origin is 1 unit (h = 1). We can construct a right triangle. Then by pythagorean theorem.

x² + y² = h²

x² = √(h² - y²)

x² = √(1² - (-3/5)²)

x² = √(1 - (9/25))

x² = √(16/25)

x = 4/5

Since X is in the IV quadrant, where x is positive and y is negative.

So x = +4/5

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Results:

The equivalent pairs are:

A. 5.80; 5+0.08,

C. 6.050; six and five thousandths, and

E. nine and nine-tenths; 9.9

A. 5.80; 5+0.08

The two are equivalent expressions because they both represent the same decimal number. 5.80 can be interpreted as 5 units and 0.80 units, which is the same as 5 units and 0.08 units. So 5.80 is equal to 5+0.08.

C. 6.050; six and five thousandths

The two expressions describe the same decimal number. 6.050 means 6 whole units, 5 hundredths, and 0.005 thousandths, while "six and five thousandths" means the same thing - 6 whole units, 5 hundredths, and 0.005 thousandths.

E. nine and nine tenths; 9.9

They are also equivalent. Nine and nine-tenths mean 9 whole units and 9 tenths, while 9.9 means the same thing - 9 whole units and 9 tenths.

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Step-by-step explanation:

step 1. x + 4.75 - 6.55 = 5.43

step 2. looks like b is the only answer.

Answer:

i need help wit this

Step-by-step explanation: