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Nesterboy [21]
2 years ago
13

I need help with this question please​

Mathematics
1 answer:
Art [367]2 years ago
8 0

9514 1404 393

Answer:

  77

Step-by-step explanation:

The sum of the measures of the two given arcs is 180°, the measure of semicircle ADC. Using this fact, we can find x and the measure of DC.

  AD +DC = 180

  (19x -49) +(5x +37) = 180

  24x = 192 . . . . . . . . . . . add 12, simplify

  x = 8 . . . . . . . . . . divide by 24

Then the measure of DC is ...

  DC = 5x +37 = 5(8) +37 = 40 +37

  DC = 77

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Which phrases can be used to represent the inequality 12 minus 3 x greater-than-or-equal-to 9? Select two options.
AlexFokin [52]

Answer:

Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no smaller than nine.

Step-by-step explanation:

complete question is:

Twelve less than three times a number is greater than or equal to nine.

Twelve less than three times a number is at least nine.

Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no more than nine.

Twelve minus the product of three and a number is no smaller than nine.

ANSWER:

<u>Twelve less three times a number is at least nine.</u>

The phrase "twelve less three..." means that the "three times a number" is being subtracted from twelve. So, it has to be at least nine.

<u>Twelve minus the product of three and a number is no smaller than nine.</u>

Even the least number you suppose is 1 we'll get 9

e.g: 12-3(1)=9. Therefore, this statement also represent the inequality

3 0
3 years ago
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A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby. One day in ea
Vsevolod [243]
The first step is:
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In circle J with mZHLK = 18, find the mZHJK.
zysi [14]

Answer:

The measure of angle HJK is 36°

Step-by-step explanation:

<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>

In circle J

∵ J is the center of the circle

∵ H and K lie on the circle

∴ ∠HJK is a central angle subtended by arc HK

∵ L lies on the circle

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∴ m∠HLK = \frac{1}{2} m∠HJK

∵ m∠HLK = 18°

∴ 18 = \frac{1}{2} m∠HJK

→ Multiply both sides by 2

∴ 36 = m∠HJK

∴ The measure of angle HJK is 36°

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Answer:

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Step-by-step explanation:

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