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

Solve: 6 yd. 9 ft. 4 in. × 2 =
ed ReviewA company makes bars of soap.soapThe is mixed in large vats, then poured intomolds to make 560 bars of soap. Themixture weighs 1792 ounces. How muchdoe
Find the value of x in the equation 2 x + 20 = 15 + 3 x . a. 16 b. 25 c. 1 d. –5
In one to three complete sentences, summarize what happens with teams in the Distancing phase.
when sociologists' group people into categories based on their age, gender, education level, job and income, they are trying to determine _____ A)social network
Benjamin Franklin was highly educated and had years of schooling. a. True b. False
x varies inversely with y and x = 8 when y = 10, what is the value of y when x=6
In "The Lady, or the Tiger?," if the princess directs him to the door with the tiger behind it, she will do so because she _____.
Estimate the answear by rounding each number to its greatest place: 199 x 91
1:30 to 4:30 is how many hours