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zimovet [89]
3 years ago
7

An angle measures 10 more than four times a number. It’s supplement is two more than three times the number. What is the measure

of each angle in degrees
Mathematics
1 answer:
kiruha [24]3 years ago
6 0

Answer:

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

..................96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

..................72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

Step-by-step explanation:

I hope this helps :)

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Alexandra [31]

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

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Step-by-step explanation:

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