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

How many moles of water (H2O) would be produced if 10 moles of O2 gas reacted completely with excess H2 gas?2 H2(g) + O2(g) → 2 H2O(g)A. 5 B. 10 C. 20 D. 30
example of onomatopoeia in the seven ages of man
Which of the following steps is not critical in the creation of Bt corn?a.Cut out a piece of DNA from a DNA molecule.b.Splice a piece of DNA into DNA from anoth
Solve the quadratic by factoring 2X²-2X-12=0
example of onomatopoeia in the seven ages of man
Solve the quadratic by factoring 2X²-2X-12=0
Which chemical equation best describes the reaction of potassium metal with fluorine gas to form solid potassium fluoride? A. K(s) + F2(g) → KF2(s) B. K(s) + F(
A solution of hydrogen peroxide, H2O2, is titrated with potassium permanganate, KMnO4, according to the following equation: 5H2O2 + 2KMnO4 + 3H2SO4 = 5O2 + 2MnS
explain in steps how to graph this linear inequality 2x+3y > -2
What's the other term for: explosive or changing very quickly