1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
a_sh-v [17]
3 years ago
9

The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

  of their measures is 90°

- The measure of one angle is six more than half the measure

 of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

  measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

∴ 3x = 168

- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

* The measures of the two angles are 34° and 56°

You might be interested in
Can someone explain this to me I need help T_T
vaieri [72.5K]

Answer: 6,800,000 people

Step-by-step explanation:

We are looking for the number of people, not the percentage of wealth that has been made up by the people.

2% of the people are the richest in the United States, and there are 340,000,000 people in total in the United States.

2% = 0.02

340,000,000 * 0.02 = 6,800,000

I hope this was helpful! :)

4 0
3 years ago
531 times what equals 5,310
Leya [2.2K]

Answer:

10

531 x 10 = 5,310

4 0
3 years ago
Read 2 more answers
Which function is a quadratic function?
DerKrebs [107]
The correct answer is: [C]:  " c(x) = –8x²<span> + 3x – 5 " .
_________________________________________________________
  The quadratic function takes the form of:
_________________________________________________________
  " f(x) =  ax</span>²  + bx + c " .
_________________________________________________________
Answer choice:  [C]:  " c(x) = –8x² + 3x – 5 "  ;

  is the only answer choice provided that takes that form of the quadratic function:

  " f(x) =  ax²  + bx + c " :

in which:  " a = -8 " ; " b = 3 " ;  " c = -5 " .
____________________________________________________
5 0
3 years ago
No step by step answers or links
inysia [295]

Answer:

1. k = 15

2. d = 20

3. n = 3

6 0
2 years ago
Write the formula for the area of a triangle, A=1/2bh in terms of h. Find the height of a triangle when A = 18 in. squared and b
Elena L [17]

The height of the given triangle is  

5 0
3 years ago
Other questions:
  • What is the equation of a circle with a center located at (4, -1) and a radius of 9?
    5·1 answer
  • Very easy question no kidding
    10·2 answers
  • Name three points that are collinear. Assume angle TSR is not a straight angle.
    11·1 answer
  • Order the following values from least to greatest: 22.4, -28, 27, -17
    9·2 answers
  • The length of a rectangle is 3 inches more than its width, and its perimeter is 22 inches. Find the width of the rectangle.
    14·1 answer
  • Y=13(2)^x<br> is grow , decay or neither
    7·2 answers
  • 6.perimeter of the given shape above is
    15·2 answers
  • 2(x+4) - (y•8)<br><br> when x=1/8 and y=3/16<br><br> A 11/4<br> B 65/2<br> C 21/4<br> D 27/5
    7·1 answer
  • X + y + 2 = 6<br>3x - 2y = - 4<br>2x - y + = 9
    15·1 answer
  • Help me answer this geometry question please!! will give brainliest and 5 stars!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!