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2 years ago

Find the value of each variable

Mathematics

1 answer:

sesenic [268]2 years ago

5 0

Answer:

x=16

y= 100

Step-by-step explanation:

<1 and <3 are vertical angles so they are equal

5x = 80

Divide each side by 5

5x/5 = 80/5

x = 16

Angles 2 and 3 are supplementary since they form a straight line, they will add to 180

<2 + <3= 180

y+80 = 180

Subtract 80 from each side

y+80-80 = 180-80

y= 100

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Carl offered to pay jake $0.25 a square foot to paint his fence. The fence measures 109 feet long and 7 feet wide what is the to

Scorpion4ik [409]

Answer:

Part 1) The total square footage of the fence is $763\ ft^{2}$

Part 2) $\$190.75$

Step-by-step explanation:

Part 1) what is the total square footage of the fence ?

we know that

The area of the fence is equal to

$A=LW$

substitute the values

$A=(109)(7)=763\ ft^{2}$

Part 2) How much will Jake get paid

Using proportion

$\frac{0.25}{1}\frac{\$}{ft^{2}}=\frac{x}{763}\frac{\$}{ft^{2}}\\ \\x=763*0.25\\ \\x=\$190.75$

6 0

3 years ago

Analyze Corey’s work to find his error. What is Corey’s mistake? He substituted 80 for x instead of y. He should have added 88.2

Anni [7]

x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80

This is how Corey should have solved

y = 1.505*x - 88.21

80 = 1.505*x - 88.21 <--- replace y with 80

1.505*x - 88.21 = 80

1.505*x = 80 + 88.21 <--- add 88.21 to both sides

1.505*x = 168.21

x = 168.21/1.505 <--- divide both sides by 1.505

x = 111.767

x = 111.8

If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval

<h2> IF YOU DONOT WANT TO READ SO MUCH THEN </h2>

PLEASE SEE THE ATTACHMENT 

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2 years ago

What is the measure of angle TQR?

Blizzard [7]

Answer:jjjjj

Step-by-step explanation:

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3 years ago

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In triangle qrs m angle q=80 degrees m angle r=65 degrees and m angle s=35 degrees which side is the longest?

Lilit [14]

In any triangle, the longest side is always opposite to the largest angle.
In this case, the longest the side is the side opposed to 80°

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2 years ago

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A population grows with an annual growth rate of 16.3 % per year. (a) what is the monthly growth rate?

saw5 [17]

Given that a population grows with an annual growth rate of 16.3% per year.

The monthly growth rate is obtained as follows:

Let the monthly growth rate be i, then

$\left(1+ i \right)^{12}=1+0.163 \\ \\ \Rightarrow1+i=(1.163)^{\frac{1}{12}}=1.01266 \\ \\ \Rightarrow i=1.01266-1=0.01266$

Therefore, the monthly growth rate is 1.3%

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2 years ago