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Alina [70]
3 years ago
12

The supplement of an angle is 10 more than twice the complement of the angle. find the angle.

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Given a certain angle x, its complement is 90-x and its supplement is 180-x.

So, if the supplement of an angle is 10 more than twice the complement, you have

180-x = 2(90-x)+10

expand the right hand side:

180-x = 180-2x+10

We can simplify the 180 appearing on both sides:

-x = -2x+10

Add 2x to both sides

x = 10

You might be interested in
Given the equation −4x + 10 = 2, which order of operations completely solves for x?
hammer [34]
Hi there!

Answer:
The answer is "<span>Subtract 10, then divide by −4"

Explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by </span><span>−4)
</span><span>
Solving the equation:
</span><span>−4x + 10 = 2
First subtract 10 (from both sides of the equation)

</span>−4x  = −8
Divide by −4

x = −8 / −4 = 2
Therefore, the solution is x = 2

I hope this anwer helps you!

4 0
3 years ago
How many solutions does 9(z+8)=-9z-72 have
zloy xaker [14]

Answer:

1 solution.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

9(z + 8) = -9z - 72

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 9:                              9x + 72 = -9z - 72
  2. Add 9z to both sides:               18z + 72 = -72
  3. Subtract 72 on both sides:       18z = -144
  4. Divide 18 on both sides:           z = -8

Here we see that we will get only 1 solution for <em>z</em>.

4 0
3 years ago
How would I do this? What would it be?
Igoryamba

Answer: x=80

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

(x+8)+(2x+12)+(x+20)=360

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360

2. Now, subtract 40 from both sides of the equation:

4x+40-(40)=360-(40)\\\\4x=320

3. Finally, you must divide both sides of the equation by 4. Then:

\frac{4x}{4}=\frac{320}{4}\\\\x=80

7 0
3 years ago
What is an expression equivalent to 4d-4?
hoa [83]

4(d-1), if you expand it gets 4d-4.


8 0
3 years ago
Read 2 more answers
What is the nearest whole number with 132.73
Fudgin [204]

Answer:

the nearest whole number is 133

5 0
2 years ago
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