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3 years ago

What is the value of W in a exterior angle theorem

Mathematics

1 answer:

malfutka [58]3 years ago

8 0

Answer:

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

so:

30 + 2w - 8 = w + 48

22 + 2w = w + 48 export like terms to the same side of the equation

2w - w = 48 - 22 subtract

w = 26

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Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und

zhenek [66]

Answer:

Total distance from Mr. West to dolphin $=27\frac{4}{5}\ meters$

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean = $25 \frac{1}{5} \ meters$

Mr. West spot the dolphin under the water at a depth of = $2\frac{3}{5} \ meters$

∴ Total distance from Mr. West to dolphin= $(25 \frac{1}{5}+2\frac{3}{5})\ meters$

Adding mixed numbers

$(25 \frac{1}{5}+2\frac{3}{5})$

Adding whole numbers first.

$=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}$

Adding fractions by taking LCD.

$=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters$

5 0

3 years ago

Question

tatiyna

Answer:

Wes

Step-by-step explanation:

This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct

3 0

2 years ago

Evelyn is mixing light blue paint. The ratio of blue to white paint is 3:1. If Evelyn uses 6 parts blue paint. How much white pa

MAVERICK [17]

Answer:

2 parts white paint

Step-by-step explanation:

Blue : white

3 : 1

We use 6 parts blue

3 *2 =6

So multiply each part by 2

Blue : white

3*2 : 1*2

6 : 2

She uses 2 parts white paint

3 0

3 years ago

Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.

marin [14]

Answer:

The initial value is $78

Step-by-step explanation:

Given

$Base\ Amount = \$78$

$Additional = \$30$ (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

$Balance = Base\ Amount + Additional * number\ of weeks$

Represent number of weeks with x; So, we have:

$Balance = 78 + 30 * x$

$Balance = 78 + 30 x$

6 0

3 years ago

A circle has a circumference of 18. It has an arc of length 6. What is the central angle of the arc, in degrees?

nadya68 [22]

Circumference: 2πr C=18 so r= 18/2π= 9π

Arc length = rθ 6=(9π)θ θ=6/9π

Convert to degrees by multiplying by 180/π

6/9π x 180/π = 120 degrees

4 0

3 years ago