What is the measure of ∠R in △PQR? Round to the nearest degree.

26°
42°
45°
64°

Step-by-step explanation:

7x + 10 = 4x + 16

3x + 10 = 16 (subtract 4x on both sides)

3x = 6 (subtract 10 on both sides)

x = 2 (divide 3 on both sides)

Answer: The answer is the second option

Step-by-step explanation:

Divide each term by 4 and simplify x>8

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

Answer:

The answer to the first one is y=3/2x-27/2

The answer to the second one is y=-3/5x+6/5

Step-by-step explanation:

1. 2y-3x=-27

first, you want to add '3x' to both sides.

2y=3x-27

then you want to divide '2' from both sides. you do not want to use the 'y' because you want to keep the 'y' on its own side.

y=3/2x-27/2

2. 5y+3x=6

First, you want to subtract '3x' from both sides.

5y=-3x+6

Now, you want to divide '5' from both sides.

y=-3/5x+6/5

Answer:

2

Step-by-step explanation:

In 5 + In x = 1

In 5 + In x = In 10 (Because In 10 = 1)

In(5x) = In 10

5x = 10

x = 10/5

x = 2

Answer:

No

Step-by-step explanation:

When working with negative numbers in terms of depth, greater depth are depicted by values as we move farther to the left of the number line.

With this in mind, - 75 feets is farther to the left of the number line and as such represents a greater depth value Than - 68 feets

Therefore, when expressing depth or elevation distances, the values should be iewwd in absolute terms. Then |75| > |68|. While bearing in mind that depth is downward and thus negative

I think function A is linear and function B isnt

Step-by-step explanation:

Function A has a constant rate of change and function B looks like a curve

Answer:

pretty sure the tree's 20 feet

According to proportion if a tree casts a shadow of 40 feet it;s height is 20 feet.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know 1 yard is 3 feet.

Given, The shadow of the tree is 40 feet long. A yardstick placed next to the tree casts a 6-foot shadow and assuming the height of the tree to be x.

∴ x : 40 : : 3 : 6.

x/40 = 3/6.

6x = 120.

x = 20 feet.

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Answer:

3

Step-by-step explanation:

it intercepts the y axis at 3

Answer:

3 2

Step-by-step explanation:

I just know

Answer:

i will respect the points

Step-by-step explanation:

11w+21

I hope this helps with your question :)

Answer:

[tex]11w + 21[/tex]

Step-by-step explanation:

First, expand the brackets

Then, add the same variables

That's the answer!

Hope this is correct and helpful

If there's any questions please don't hesitate to ask

HAVE A GOOD DAY!

Answer:

I believe the answer is C. Please let me know if I am wrong

Step-by-step explanation:

Answer: 65.8

Step-by-step explanation:

First multiply 10 x 2=20

then you add 82 and 3.8 which is 85.8

then you subtract 20 from 85.8 and you get 65.8

Answer: This means that the population increased a 20% between the year 2000 and the year 2010.

Step-by-step explanation:

In this case, we have that 25,000 is the 100%.

Now we want to know which percentage represents 30,000

Let's suppose that the percentage is X.

Then we can have a system of equations:

30,000 = X

25,000 = 100%

To find the value of X, we can take the quotient of these two equations:

30,000/25,000 = X/100%

(30,00/25,000)*100% = X = 120%

Then in the 2000 we had a 100%, and in the 2010 there was a 120%.

The difference is:

120% - 100% = 20%

This means that the population increased a 20% between the year 2000 and the year 2010.

Answer:

120

Step-by-step explanation:

deltamath

120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a 3D figure with 6 rectangular faces.

Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.

To find the volume of rectangular prism we have to multiply length, width and height.

Volume =Length×Width×Height

Put the values of length, width and height in the above formula.

=10×4×3

=120 cubic ft

Hence 120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

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Answer/Explanation:

When you change the slope, it will affect the steepness of the graph/line.

When you change the y-intercept (b) it will affect where the graph crosses the y axis.

-increasing the y-intercept will make the graph move up and

decreasing will make the y-intercept go down.

Answer:

w = 13

Step-by-step explanation:

Right angle: 90°

Write an equation:

(4w + 5)° + 33° = 90°

Solve for w.

(4w + 5)° = 90° - 33°

(4w + 5)° = 57°

You can take away the brackets.

4w + 5 = 57

Isolate w.

4w = 57 - 5

4w = 52

w = 52 ÷ 4

w = 13

I hope this helps!

in the first 18 and the second 6

Step-by-step explanation:

Case 1 :

[tex]3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x = \frac{6 - 2y}{3} = \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) + y = 2 \\ 8 - \frac{8y}{3} + y = 2 \\ - 1.67y = - 6 \\ [/tex]

[tex]y = 3.59 \\ x = 2 - \frac{2y}{3} \\x = 2 - \frac{2 \times 3.59}{3} \\ \\ x = - 0.39[/tex]

Case 2 :

[tex]3x + 2y = 6 \\ 4x - y = 2 \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) - y = 2 \\ 8 - \frac{8y}{3} - y = 2 \\ - 3.67y= - 6 \\ y = 1.63[/tex]

[tex]x = 2 - \frac{2y}{3} \\ x = 2 - \frac{2 \times 1.63}{3} \\ x = 2 - 1.087 \\ x = 0.913[/tex]

Answer:

Step-by-step explanation:

G

Answer:

[tex]\sqrt{12}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^2-2^2} =\sqrt{12}[/tex]

Hence, the answer is [tex]\sqrt{12}[/tex].

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Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

Answer:

7,1

Step-by-step explanation:

80 divided by 9 times 8 i think

Answer:

Step-by-step explanation:

Trigonometric identities are used to show the equality of expressions involving trigonometric functions. These trigonometric functions are the sine, the cosine, and the tangent as well as their respective reciprocals which are cosecant, the secant, and the cotangent,

Some trigonometric identities are:

tanθ = sinθ / cosθ; secθ = 1 / cosθ; cosecθ = 1 / sinθ; cotθ = 1 / tanθ = cosθ / sinθ

The angle addition formula for cos is given as:

cos(α + β) = cosαcosβ - sinαsinβ

Therefore:

cos(a + b) = cosacosb - sinasinb

The answer is in the picture. Let me know if you have any questions.

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Answer:

$1,053.50

Step-by-step explanation:

First you need to multiply $33.30 by 30 so you can figure out how much she'll save over the next 30 weeks. You will get $999. Then you add $54.50 and $999 together to get 1,053.50.