All categories

3 years ago

If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

Mathematics

1 answer:

Nikolay [14]3 years ago

8 0

Answer:

50 degrees

Step-by-step explanation:

The diagram is attached below.

Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the theorem stated above:

m∠3+m∠5=m∠1

2x+20+30=3x

3x-2x=50

x=50

The value of x is 50 degrees.

You might be interested in

What is 2 gallons un quartz

photoshop1234 [79]

2 gallons are 8 quarts since there are four to a gallon

6 0

3 years ago

Read 2 more answers

What does the continuous line connecting items in the circuit diagram represent? A:a source of electrical energy B.a closed swit

strojnjashka [21]

Answer: D

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help me simply following expression

VMariaS [17]

I don’t see the following expectations

5 0

3 years ago

Read 2 more answers

A school has 360 students, 4/9 of whom are boys. How many boys is that? How many girls?

matrenka [14]

The answer is 160. There are 160 boys in the school. Take 360 divide by 9, then multiply by four.

6 0

3 years ago

Read 2 more answers

Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

$b^{4} = 16\\b=\sqrt[4]{16} \\b=2$

Put the b value in equation 2

$a=\frac{3}{2}\times 2$

$a=3$

Put the a and b value in equation 1

$y=3(2)^{x}$

So, the exponential function that passes through the points $(-1,\frac{3}{2})$ and $(3,24))$ are $y=3(2)^{x}$ .

6 0

3 years ago