All categories

3 years ago

In the figure, AB || CD. If m<1=70° and m<2 = 45°, find the m<3

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

Answer:65 degrees

Step-by-step explanation: a triangle has 180 degrees.

one angle is 45 degrees and the other is 70

if we add them together we get 115

180-115 is 65

m3 is 65 degrees

You might be interested in

Repeated decimals can be written as an infinite geometric series to help convert them to a fraction. Consider the repeating deci

Oksi-84 [34.3K]

Answer:

a1= 0.23

r=0.01

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

3.) Simplify the expression by combining like

Evgesh-ka [11]

$45s^2-19-s^2+16\\=45s^2-s^2-19+16\\=s^2(45-1)-19+16\\=44s^2+(-19+16)\\=44s^2-3$

Hope that helps and hope you get better!

3 0

2 years ago

A jar contains 25 coins of only dimes and quarters. The value of the jar is $4.45. Write the equation that represent the money v

8_murik_8 [283]

Answer:

Step-by-step explanation:

3 0

3 years ago

A computer store builds custom computers by allowing customers to choose 1 of 4 different CPUs, 1 of 8 hard drives, and 1 of 3 v

BartSMP [9]

There are 96 possible combinations.

The fundamental counting principle states that the number of total options is given by multiplying the number of possibilities for each option, or
Total choices = choices x choices x ...

4*3*8 = 96

8 0

3 years ago

After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then

dangina [55]

Answer: The correct option is

(E) 80,000.

Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to $\dfrac{3}{4}$ of its capacity, the tank was then at $\drac{4}{5}$ of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

$\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.$

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

4 0

3 years ago