All categories

4 years ago

∠ A and ∠ B are complementary. If m∠ B = 80°, what is the measure of ∠ A?

Mathematics

1 answer:

Stolb23 [73]4 years ago

6 0

Angle A would be 10 degrees.
Complementary angles add to 90 degrees.
So 90-80=10

You might be interested in

Given the formula y = -1/2x - 4, what is the slope and y-intercept of the graph? PLEASE HELP!

svet-max [94.6K]

Answer:

the slope is -1/2 and the y-intercept is -4

Step-by-step explanation:

The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.

8 0

3 years ago

Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

4 0

3 years ago

How many numbers are 10 units from 0 on the number line?

Travka [436]

Answer:

2 Numbers; -10, and 10.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the effect if two parallel lines are rotated 90° clockwise?

Fed [463]

Answer:

the first one

Step-by-step explanation:

if you have a ladder with no steps and it is leaning on a wall it will be facing up if you carry that ladder sideways it will still be parrallel to the opposite poles

if this confuss you I will answer again

7 0

3 years ago

What is the value of a?<br> A. 12<br> B. 15<br> C. 17.25<br> D. 21.25

dimaraw [331]

Answer:

C 17.25

Step-by-step explanation:

i think aanswer its c

8 0

2 years ago