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Usimov [2.4K]
2 years ago
9

What is the measure of ZL?

Mathematics
1 answer:
Elodia [21]2 years ago
7 0

Answer: C

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

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I need help with my homework
maxonik [38]

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

  • <em>In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angle</em>
  • <em>The measure of any circle is 360°</em>

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

∴ m of arc RQ = 10x + 30

∵ The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

4 0
2 years ago
I implore you help *puppy eyes*
Shkiper50 [21]

Answer:

0 and 1

Step-by-step explanation:

if you look at the graph the X valuesare 0,1

6 0
2 years ago
Read 2 more answers
Steps to solve this problem?
Goshia [24]

Answer: Y=2x+11

Step-by-step explanation:

7 0
3 years ago
Cylinders A and B are congruent. Cylinder A has a volume of 27π cm3 and a height of 3 cm. What is the diameter of Cylinder B?
Ann [662]
V = πR²h = π*R²*3
27π = 3πR²
R² = 9
R = 3

Diameter = 3*2 = 6cm
6 0
3 years ago
Read 2 more answers
of the runners in marathon through northeastern Pennsylvania 94.1% finshed the race .if 2,125 runners started the race how many
Svetllana [295]
Of means times
94.1%= .941

2125 X .941= 1999.6
so 2,000 people finished the race

hope this helps
4 0
3 years ago
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