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Misha Larkins [42]
3 years ago
8

Determine the value of each variable. Enter your answers as decimals. X: Y: Z:

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0

Answer:

Part 1) x=28.75\°

Part 2) z=44.5\°

Part 3) y=135.5\°

Step-by-step explanation:

Part 1) Determine the value of x

we know that

(\frac{6}{5}x+10)\°=(2x-13)\° ------> by corresponding angles

Solve for x

Multiply by 5 both sides to remove the fraction

5(\frac{6}{5}x+10)\°=5(2x-13)\°

6x+50=10x-65

10x-6x=50+65

4x=115

Divide by 4 both sides

x=28.75\°

Part 2) Determine the value of z

we know that

z=(\frac{6}{5}x+10)\° ------> by corresponding angles

we have

x=28.75\°

substitute the value of x and solve for z

z=(\frac{6}{5}(28.75)+10)=44.5\°

Part 3) Determine the value of y

we know that

y+z=180\° ------> by supplementary angles

we have

z=44.5\°

substitute and solve for y

y+44.5\°=180\°

y=180\°-44.5\°=135.5\°

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A line contains the points (82, −96) and (87, −86) .
mezya [45]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (82, - 96) and (x₂, y₂ ) = (87, - 86)

m = \frac{-86+96}{87-82} = \frac{10}{5} = 2

3 0
3 years ago
A sequence is defined by the formula f(n + 1) = f(n) – 3. If f(4) = 22, what is f(1)?
julsineya [31]

f(n) = f(n+1) +3

f(1) = f(2) +3

f(2) =f(3) +3

f(3) = f(4) +3

So f(1) = f(n) + 3* (n-1)

Put n=4 here so you found

f(1) = f(4) + 3* 3

= 22 +9

=31 ans




                             hope it helps

5 0
3 years ago
Read 2 more answers
magan wants to ride his bicycle 30.4 miles this week. he has already ridden 4 miles if he rides for 4 more days what is the aver
Kaylis [27]

The average number of miles he will ride each day to meet his goal is 6.6 miles

<h3>How to find the average number of miles she will ride?</h3>

He wants to ride his bicycle 30.4 miles this week.

He has already ridden 4 miles.

He rides 4 more days.

Therefore, the average number of miles he would have to ride each day to meet his goal can be calculated as follows:

let

x = number of miles driven

Hence, the equation can be represented as follows;

4x + 4 = 30.4

Therefore,

4x + 4 = 30.4

4x + 4 - 4 = 30.4 - 4

4x = 26.4

x = 26.4 / 4

x = 6.6

Therefore, the average number of miles he will ride each day to meet his goal is 6.6 miles

learn more on equation here: brainly.com/question/20794747

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4 0
2 years ago
No links, help ASAP with explanation
almond37 [142]
The answer to your question is G
7 0
3 years ago
According to the square root property, the solution set of x 2 = 25 is {±5}.<br> True<br> False
babymother [125]
I believe the correct answer is true. According to the square root property, the solution set of x^2 = 25 is {±5}. <span>The </span>square root property<span> is one method that is used to find the solutions to a quadratic (second degree) equation. This method involves taking the </span>square roots <span>of both sides of the equation. Hope this answers the question.</span>
8 0
3 years ago
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