MATHEMATICS HIGH SCHOOL

If 3a - 2 = 10, what is the value of 8a + 1?

Answers

Answer 1

Answer:

Answer:

8a+1=33

Step-by-step explanation:

you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33

Answer 2

Answer:

Answer:

Step-by-step explanation:

3a-2= 10

3a=12

a=4

in this equation a=4 so you substitute that value into the other equation

8(4) +1=33

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Find the value of -7 - 8 - (-8) - 7.

Answers

-14 is the answer, cause i think the -(-8) crosses out the -8 cause -+-=+ and -7-7=-14, thats what ithink

Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of angle P is 6° more than twice the measure of angle Q.Write a system of equations and use substitution to find the measures of angles P and Q.

Input Field 1 of 1

Answers

Answer:

P = 62° Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now x + y = 90 and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check: 28 + 62 = 90

Final answer:

To find the measures of complementary angles P and Q, we set up a system of equations based on the problem's information, solve for one variable, then substitute that variable's value into the other equation. After solving, we find that the measure of angle P is 62°, and the measure of angle Q is 28°.

Explanation:

Let's denote the measure of angle Q as 'q'. Therefore, the measure of angle P can be expressed as '2q + 6'. Now, we can set up two equations based on the information given:

P + Q = 90°, or in terms of 'q', (2q + 6) + q = 90°
P = 2Q + 6°, or in terms of 'q', (2q + 6) = 2q + 6

Solving the first equation gives us 3q + 6 = 90. Subtract 6 from each side of the equation to get 3q = 84. Divide each side by 3 to solve for 'q', and we find that q = 28°. Substituting q = 28° into equation 2, we find that P = 2*28 + 6 = 62°. So, angle P is 62° and angle Q is 28°.