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2 years ago

Find the measure of angle e. A. 70° B. 130° C. 100° D. 110°

Mathematics

1 answer:

bonufazy [111]2 years ago

4 0

Knowing about corresponding angles, we know that m∠d = 70°.

The sum of the measures of the angles d and g is equal to 180°. Or in other words, they are supplementary.

Knowing this, we can use algebra to build an equation and solve for g.

70° + m∠g = 180°
m∠g = 110°

And finally, using the knowledge of vertical lines, ∠g is complementary to ∠e.

So, m∠e is equal to 110°.

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What is the value of w? 28=4(w−3)

sveticcg [70]

Answer:

w=10

Step-by-step explanation:

1. Divide 4 on both sides to cancel out the 4 on the right side since it is an equation so it has to remain “equal”/ balanced.

2. You get 7=w-3.

3. Add 3 on both sides.

4.You get w=10.

7 0

2 years ago

Read 2 more answers

Harry solves the equation 1/3t = 15. He says the solution is 30. Is his answer correct? Fill in the blanks to explain how Harry

aksik [14]

Harry can first substitute 30 for t

He can then multiply $\frac{1}{3}$ by 30 to get a product of 10

Since, 10 is not equal to 15, Harry's solution is not correct.

Solution:

Given that,

Harry solves the equation:

$\frac{1}{3}t = 15$

He says the solution is 30

We have to check if his answer is correct or not

Fill in the blanks to explain how Harry can check whether his solution is correct

Harry can first substitute 30 for t

$\frac{1}{3} \times 30 = 15$

He can then multiply $\frac{1}{3}$ by 30 to get a product of 10

$10\neq 15$

Since, 10 is not equal to 15, Harry's solution is not correct

Correct solution:

$\frac{1}{3}t = 15\\\\t = 15 \times 3\\\\t = 45$

Thus correct solution is 45

5 0

2 years ago

A pair of supplementary angles have measures of x° and (x + 8)°. What is the value of x? Please show work, Thanks!

neonofarm [45]

If you have supplementary angles, that means that the angles have to add up to 180°. So x+(x+8)=180° So I would combine like terms 2x+8=180 Now subtract by 8 on both sides which gives me 2x=172 now divide by 2 and x equals 86°! I hoped this helped you!

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2 years ago

How do you find the total surface area of a cuboid?

Ann [662]

Answer: you multiply then add.

Step-by-step explanation:

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3 years ago

A gym charges a $615 yearly fee for membership plus $50 for each hour of personal training. What is the average total cost per h

olga2289 [7]

Answer:

The average total cost per hour of training is $70.5

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

m is the average rate
b is the initial value

∵ The gym charges a $615 yearly fee for membership plus

$50 for each hour of personal training

- That means the initial amount is 615 and the average rate is 50

∴ m = 50 dollars per hour

∴ b = 615 ⇒ fixed fee

- Substitute m and b in the form of the linear function

∴ c(x) = 50 x + 615, where c(x) is the cost per year for x

training hours

∵ A member works with a personal trainer for 30 hours in a year

- That means x = 30

∴ x = 30

- Find the total cost of this year by substituting x by 30

∴ c(30) = 50(30) + 615

∴ c(30) = 1500 + 615

∴ c(30) = 2115

∴ The total cost of this year is $2115

To find the average cost per hour divide the total cost by the number of the training hours

∵ Average cost per hour = 2115 ÷ 30

∴ The average cost per hour = 70.5 dollars

∴ The average total cost per hour of training is $70.5

8 0

3 years ago