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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What is 1 5/8 +4 7/8 show work

Anon25 [30]

Take the mixed number apart and have a whole number and a fraction
1+4 and 5/8 + 7/8
1+4=5
5/8 + 7/8 = 12/8
12/8 = 1 4/8
Add 5 to 1 4/8
5 + 1 4/8 = 6 4/8
1 5/8 + 4 7/8 = 6 4/8
In simplest term, the answer is also 6 1/2
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Another way to solve it is by turning both 1 5/8 and 4 7/8 into improper fractions.
1 5/8 = 13/8
4 7/8 = 39/8
Add them.
13/8 + 39/8 = 52/8
Turn 52/8 into a mixed number.
52/8 = 6 4/8
Simplify it to get 6 1/2.

6 0

3 years ago

P(×)= x(2x + 1)- 6x-3 Factorize p(×)

kherson [118]

Step-by-step explanation:

P(X)=2x²-5x-3 is in the form ax²+bx+c

Using quadratic equation

x={-b±√(b²-4ac)}/2a

x=3,-1/2

4 0

3 years ago

Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (