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Anastasy [175]
3 years ago
9

Drag an answer to each box to complete this paragraph proof.

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

Step-by-step explanation:

By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property

(6x)° + 90° + (x+6)° = 180°

To solve for x, first combine the terms to get (7x + 96) = 180°

Using the Subtraction property of equality,

7x = 84.

Then using the division property of equality x = 12.

To find the measure of angle A,

Use the subtraction property to get m∠A = 6(12)°.

Finally simplifying the expression gets m∠A = 72°.

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<img src="https://tex.z-dn.net/?f=2a%20%7B%20%7D%5E%7B2%7D%20b%20%7B%7D%5E%7B2%7D%20-%207ab%20-%2030" id="TexFormula1" title="2a
yarga [219]

Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

5 0
3 years ago
Marcus purchases 75 shares of stock. A year after purchasing the stocks, the value of the stock is $2 less per share. Write a mu
katrin [286]
75(x-2) where x represents the amount originally paid

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3 years ago
a truck can be rented from company a for $90 a day plus $0.40 per mile. company b charges $50 a day plus $0.80 per mile to rent
Neporo4naja [7]
101 miles.
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7 0
3 years ago
Find the side length of a. Pls help!
sdas [7]

Answer:

im too eionf0qn3490fn0wiopf

Step-by-step explanation:

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To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove cos
Leona [35]

Answer:

1222.2

explanation:

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