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SashulF [63]
3 years ago
10

Solve for x and then find the measure of

Mathematics
2 answers:
bonufazy [111]3 years ago
7 0
The answer should be 150
GalinKa [24]3 years ago
4 0

Answer:

<h2>150°</h2>

Step-by-step explanation:

<A and <B are alternate interior angles.

So, <A = <B

plugging the values

8x - 10 = 3x + 90

Move variable to L.H.S and change it's sign.

Similarly, Move constant to R.H.S and change it's sign

8x - 3x = 90 + 10

Collect like terms

5x = 90 + 10

Calculate the sum

5x = 100

Divide both sides of the equation by 5

\frac{5x}{5}  =  \frac{100}{5}

Calculate

x = 20

Now, Let's find the measure of <B

< b = 3x + 90

Plugging the value of X

= 3 \times 20 + 90

Calculate the product

= 60 + 90

Calculate the sum

=150

Hope this helps...

Best regards!!

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3 years ago
What conclusion can be drawn by observing that 30 is to the right of 10 on a
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Explanation:

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Tom's real estate office reports that the office's income last month was $315,600, while expenses were $19,567.20. What percent
nordsb [41]

Answer:

<u>6.2% of last month's income was spent on office expenses</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Office's income last month = $ 315,600

Expenses last month = $ 19,567.20

2. What percent of last month's income was spent on office expenses?

To calculate this percent, we use this fraction:

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8 0
3 years ago
A person walked 50 ft. to cross
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Answer:

B) 40 ft

Step-by-step explanation:

Use the picture for a reference.

1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.

2. The Pythagorean Theorem

a^2 (a squared) + b^2 (b squared) = c^2 (c squared)

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The length of the field is 40 ft.

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3 years ago
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