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Mrac [35]
3 years ago
15

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

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

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°

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1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.
Lady_Fox [76]

Answer:

Step-by-step explanation:

Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80

“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit

Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2

:c part = 20+20+20+20. Key:20=2

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4 0
3 years ago
Please help me with this answer
JulsSmile [24]

9514 1404 393

Answer:

  • x = 12
  • ∠H = 94°

Step-by-step explanation:

The marked angles are supplementary, so ...

  (5x +26)° +(8x -2)° = 180°

  13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24

  x = 12 . . . . . . . . . . . divide by 13

  ∠H = (8x -2)° = (8·12 -2)°

  ∠H = 94°

4 0
3 years ago
Find the measure of an angle and its complement if one angle measures 24 degrees more than the other.
Vera_Pavlovna [14]

Complementary angles = 90

x+y =90

y=x+24

substitute this in to the equation

x+x+24=90

2x+24=90

subtract 24 from each side

2x = 66

divide by 2

x=33

y = 33+24

y=57

Answer: 33, 57

6 0
3 years ago
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