All categories

3 years ago

<1 and <2 are complementary. Solve for the measure of <1.

Mathematics

1 answer:

Anon25 [30]3 years ago

3 0

Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

You might be interested in

The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5

salantis [7]

If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

<em> m₃ = 180 + 3x⁵ - 2x²</em>

7 0

3 years ago

Find the area of the shaded segment. Round your answer to the nearest square centimeter. Will make brainliest answer if correct

allochka39001 [22]

First find the area of the circle using A=pi*r^2
pi*36
Then divide this by 4 because the shaded region is 1/4 of the circle
(36*pi)/4=9*pi
Final answer: B

6 0

3 years ago

Which slope and y-intercept correspond with the graph?

11Alexandr11 [23.1K]

Your answer is D. You have to find where the lines are in the middle so your answer is D.

6 0

3 years ago

Read 2 more answers

Design minimal 2-level AND-OR and NAND-NAND realizations of the following logic function. Draw circuit diagrams of your realizat

Delicious77 [7]

Answer:

Realization :

since there are 3-variable. Therefore 2ⁿ = 2³ = 8

From the attached solution, f(x,y,z) = y' + xz'

also' see the circuit diagrams of my realizations of AND-OR and NAND-NAND

Step-by-step explanation:

See attached picture for minimal 2-level AND-OR and NAND-NAND of the logic function.

f(x,y,z) = y' + xz' was designed from the function f(x,y,z) = Σm(0,1,4,5,6)

Then, minimal 2-level AND-OR was designed and after was NAND-NAND designed as well.

5 0

3 years ago

I need help with this answer?

Ipatiy [6.2K]

Answer:

The value of angle A is approximately 41.8.

Step-by-step explanation:

In order to find the value of angle A, I used the inverse sine function, where I input a ratio between the opposite and hypotenuse: 4/6, and got the answer.

3 0

2 years ago