All categories

3 years ago

ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse

2 answers:

6 0

To form a linear pair means that when added, they equal 180 degrees.
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle.
So ABC and CBD are both right angles

scoray [572]3 years ago

5 0

Answer:

Right angle

Step-by-step explanation:

When two lines intersect, a linear pair is formed, two angles being linear pair means the sum of those two angles is 180°.

Now if ∠ABC and ∠CBD for a linear pair,

∴∠ABC + ∠CBD = 180°

also given that ∠ABC and ∠CBD are of equal measure

∴ ∠ABC + ∠ABC = 180°

⇒ ∠ABC = 90° = ∠CBD

∴ ∠ABC is right angle

You might be interested in

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).

We will now use the formula

$n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})$

We will now substitute all the data that we have and we will get

$n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)$

$n=(32.9)^2\times0.25$

$n=270.6025$

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0

3 years ago

18 divided by 20 equals

balandron [24]

0.9 is the answerrrrrrrrrrrrrr

4 0

3 years ago

Read 2 more answers

Aunt Kendra is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cu

Andreas93 [3]

Answer:

$70

Step-by-step explanation:

Middletown Equation:

1c +50 = T

Sweet Shoppe Equation:

2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

c+ 20 = 2c

20 = c (twenty cupcakes would be ordered)

Now insert into either equation ( or both to check)

1(20) + 50 = 70

2(20)+ 30 = 70

Total cost would be $70

HOPE THIS HELPS!!!

4 0

2 years ago

Can anyone explain this to me??

finlep [7]

It is the first option. DF = DE. It is referring to the lengths of each line, DE and DF look like they are the same. It is not a scalene triangle it is a right triangle. EF is way too long to be equal to DE or DF

3 0

3 years ago

The lines below are parallel. If the slope of the green line is -2, what is the slope of the redline?

scoray [572]

D. -2, if the lines are parallel then the slope is the same but the y-int is different

3 0

3 years ago