pdbrown1845 pdbrown1845
  • 03-09-2020
  • Mathematics
contestada

Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle

Respuesta :

zarampa
zarampa zarampa
  • 06-09-2020

Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

  • angle 1:

3x+3 = 3*7 + 3 = 21+3 = 24°

  • angle 2

10x - 4 = 10*7  - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

Answer Link

Otras preguntas

The school board administered a reading test to all eighth-grade students at High Achievers Charter School and determined that 10%, percent of them were reading
Help with steps pls!!!
Conservatives believe that, when the government regulates the economy, it makes the economy A. Less Efficient B. Stable C. Stronger D. Friendlier to the Poor
Find the roots of this polynomial x^2 -9x+8
Susan buys the item listed below at a grocery store. 2 packages of chicken priced at $12.36 per package. 1/2 pound of broccoli priced at $1.98 per pound. 1gallo
please help thanks ❗​
Which of the following is NOT a known side-effect of alcohol on hormonal balance? Greater than the effect of each drug added together Equal to the effect of eac
what was the cause of World War 1
Simplify the expression. 7x + 7 +5(x + 3) + 3
Which food is not a staple of the Indian diet? rice lentils wheat meat