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4 years ago

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle

Mathematics

1 answer:

Art [367]4 years ago

6 0

Answer:

Step-by-step explanation:

For a polygon of N sides, the sum is

N*(180-360/N) = N*180 - 360 degrees

Subtract (120 +93 +108 +101) from 540 for your answer

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The sum of Sasha’s and Natalie’s ages is 31. Twice Natalie’s age is 11 years more than Sasha’s age. Find each of their ages

ZanzabumX [31]

Answer:

Natalie's age is 14

Sasha's age is 17

Step-by-step explanation:

Let

Sasha's age be "s", and

Natalie's age be "n"

Sum of Sasha and Natalie is 31:

s + n = 31

Twice Natalie is 11 more than Sasha:

2n = s + 11

We ca solve this equation for s first:

s = 2n - 11

We put this into first equation and solve for n first:

s + n = 31

2n - 11 + n = 31

3n = 31 + 11

3n = 42

n = 42/3 = 14

Natalie's age is 14

Also, s = 2n - 11

s = 2(14) - 11

s = 28 - 11

s = 17

Sasha's age is 17

6 0

3 years ago

What is the distance between (5,8) and (2,4) by using distance formula

Dimas [21]

Answer:

Distance = 5

Step-by-step explanation:

D= sqrt (x1-x2)^2 + (y1-y2)^2

(5-2)^2 + (8-4)^2=3^2 + 4 ^2 = 9 +16 = 25

Sqrt of 25 = 5

Distance = 5

Hope this helps

7 0

3 years ago

Read 2 more answers

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked

RUDIKE [14]

The system of equations that represents this situation are:

q + p = 2

4q + 5p = 8

Solution:

Let q be the number of hours it took Courtney to walk from her house to the beach

Let p be the number of hours it took her to walk from the beach to the park

The entire walk took 2 hours

Therefore,

q + p = 2 ------- eqn 1

The total distance Courtney walked was 8 kilometers

Total distance = 8 km

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour

Then walked from the beach to the park at a constant speed of 5 kilometers per hour

Distance is given as:

$distance = speed \times time$

From her house to the beach:

$distance = 4 \times q = 4q$

From the beach to the park:

$distance = 5 \times p = 5p$

We know that,

Total distance = 8 km

Therefore,

4q + 5p = 8 ------ eqn 2

Thus the system of equations that represents this situation are:

q + p = 2

4q + 5p = 8

8 0

4 years ago

HELP PLEASE how do i put this into a piecewise function?

Nonamiya [84]

Answer:

Step-by-step explanation:

2 functions start by making a domain

Function 1: -3≤x<1

Function 2: -1≤x≤1

Now come up with equations

Function 1= x+3

Function 2= 5

Now put it all together

f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1

8 0

3 years ago

An animal shelter has 8 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the a

velikii [3]

Answer:

8 dog/cat

Step-by-step explanation:

one dog/cat is worth 8.5% 8 puppies divided by 32% = 8.5. 8.5 x 8 =68 100% - 32% is 68% divided by 8.5 equals 8

if this helped pls mark brainliest. and 5 star

3 0

3 years ago