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1 year ago

An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?

1 answer:

3 0

82 degrees and 98 degrees

First, find the original equation

180 = (x) + (x + 16)

Simplify: 180 = 2x + 16

Next, use the subtraction property of equality to subtract 16 from both sides

180 - 16 = 2x + 16 - 16

Simplify: 164 = 2x

Then, you can use the division property of equality to find the value of x

164/2 = 2x/2

Simplify: 82 = x

Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees

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What is the sum of the integers between the square root of 12 and 40?

satela [25.4K]

1.

the closest perfect squares of 12 are 9 and 16,

that is 9<12<16

so
$\sqrt{9}\ \textless \ \sqrt{12}\ \textless \ \sqrt{16}$

$3\ \textless \ \sqrt{12}\ \textless 4$

this means, $\sqrt{12}$ is 3 point something...

2.

similarly

36<40<49

so

$\sqrt{36}\ \textless \ \sqrt{40}\ \textless \ \sqrt{49}$

$6\ \textless \ \sqrt{40}\ \textless \ 7$

which means $\sqrt{40}$ is 6 point something...

3.

<span>the sum of the integers between the square root of 12 and 40 is the sum of 4, 5 and 6, since 4 is the smallest integer after root 12, and 6 the greatest integer to before root of 40.

Answer: 15</span>

8 0

3 years ago

Help me to solve this question plez!!

dimaraw [331]

Let First Sphere be the Original Sphere

its Radius be : r

We know that Surface Area of the Sphere is : 4π × (radius)²

⇒ Surface Area of the Original Sphere = 4πr²

Given : The Radius of Original Sphere is Doubled

Let the Sphere whose Radius is Doubled be New Sphere

⇒ Surface of the New Sphere = 4π × (2r)² = 4π × 4 × r²

But we know that : 4πr² is the Surface Area of Original Sphere

⇒ Surface of the New Sphere = 4 × Original Sphere

⇒ If the Radius the Sphere is Doubled, the Surface Area would be enlarged by factor : 4

6 0

3 years ago

Explain why x=4 is not in the domain of the function f(x)=√x-5 ?

lianna [129]

Since we are dealing with a radical then x - 5 ≥ 0, for real values

x = 4 is less than 5 , hence is not in the domain

6 0

2 years ago

A soccer field has a length of 100 yards and a width of 60 yards. Which equation can you use to find the area of the soccer fiel

snow_tiger [21]

Answer:

60 x 100

Step-by-step explanation:

Since the formula for area of a rectangle is length × width, multiplying the sides will get you the area.

CREDIT TO nilbert

3 0

2 years ago

Read 2 more answers

QUICK!

OLEGan [10]

The radius of the cylinder would be 17.99544

5 0

2 years ago