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]
2 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]2 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
How do you write the number 50,679 in word form and expanded form
GarryVolchara [31]
"fifty thousand six hundred and seventy nine" and 50,000 + 600 + 70 + 9
4 0
3 years ago
Can anybody answer this?
kirza4 [7]
Should be 180 my g, I’m pretty sure
7 0
2 years ago
Read 2 more answers
a rectangular swimming pool is 6ft deep. one side of the pool is 2.5 times longer than the other. the amount of water needed to
Sav [38]

6 x 12 x 30 is your answer


7 0
2 years ago
What is the GCF 8x^3-20x^2
Kobotan [32]

Answer: 4x^2

Step-by-step explanation:

6 0
2 years ago
The sum of two numbers is 91.one is 37 more than the other.Find the numbers
zavuch27 [327]

Step-by-step explanation:

Hey there!!

Here, According to the question;

Let one number be x then another number will be x+37. (as one number is 37 more than other number. )

Now,

Their sum is 91.

It would be like;

x + (x + 37) = 37

2x + 37 = 91

2x = 91 - 37

x =  \frac{54}{2}

Therefore the value of x is 27.

So, one number is 27 and another number is 64.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
Other questions:
  • Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
    9·2 answers
  • 9/11 =?/22 what is the answer
    13·2 answers
  • The science club is raising money for a trip to the museum. Tickets to the museum cost $8. Five students already have a membersh
    11·1 answer
  • Polygons consist of line segments connected only at their endpoints. Many types of polygons exist, with varying side and angle m
    5·1 answer
  • Rob is saving to buy an MP3 player. For every 15 dollars he earns babysitting, he saves 6 dollars. On Saturday rob earned $75 do
    15·1 answer
  • A stone pyramid in egypt has a square base that measures 157 m on each side. the height is 95 m. what is the volume of the pyram
    14·1 answer
  • (HELP ASAP PLEASE!!)
    11·1 answer
  • A kayaker traveled 4 5/6 miles during the first hour, and 1 1/3 miles more then the next hour. How far did he travel in 2 hours
    15·1 answer
  • A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sampl
    13·1 answer
  • Consider the first four terms of the sequence below. -3, -12, -48, -192, . . . What is the 8th term of this sequence? A. -49,152
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!