All categories

3 years ago

WILL MARK BRAINLIEST! Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.

Mathematics

1 answer:

Ann [662]3 years ago

4 0

Answer:

∠AOB and ∠COD are vertical angles

∠DOE and ∠COD are complementary, adjacent

∠AOB and ∠AOD are supplementary, adjacent.

Step-by-step explanation:

Let's start with ∠AOB and ∠COD.

Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.

∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.

∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.

I hope this helped!

You might be interested in

Lia finds a second dress that was originally $72.00 and now was marked 15% off. How much did she pay for the second dress?

dybincka [34]

Answer:

The answer is $61.20

Step-by-step explanation:

First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.

4 0

2 years ago

Ms Thomas drove at a constant rate for 45. She drove 39 miles during that time. If distance is determined by the equation d=rt w

Cerrena [4.2K]

Answer:

Ms. Thomas was driving at constant rate of 52 miles/hour.

Step-by-step explanation:

Given:

Total time to travel (t) = 45 minutes

Distance drove (d) = 39 miles

we need to find the constant rate in miles per hour at which she was driving.

Solution:

Now we know that;

We need to find constant rate at miles per hour;

But time is given in minutes.

So we will convert minutes into hour by dividing by 60 we get;

time $t =\frac{45}{60}= 0.75\ hrs$

Now we know that;

Distance is equal to rate times time.

framing in equation form we get;

distance $d =rt$

rate $r= \frac{d}{t} = \frac{39}{0.75}= 52 \ mi/hr$

Hence Ms. Thomas was driving at constant rate of 52 miles/hour.

6 0

2 years ago

Describe the relationship between x and why in a line with negative slope

bulgar [2K]

In a line with negative slope, as x increase, y decreases.

3 0

2 years ago

You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the

DanielleElmas [232]

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

3 0

3 years ago

Tri City sells four times as many dishwashers as Solly Company. The difference between their sales is 96 dishwashers. How many d

kondaur [170]

We use a system of equations to solve this. Since tri city sells 4 times it becomes 4x and solly company is x. Then we do 4x-x=96. 3x=96. x=32. We are not finished yet. We still have to multiply x by 4. x=128. Tri City sold 128 dishwashers.

3 0

3 years ago