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DaniilM [7]
2 years ago
5

Help please

Mathematics
1 answer:
stepan [7]2 years ago
5 0

Answer:

B) Y - 3= -1/7 ( x - 3 )

Step-by-step explanation:

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In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

7 0
2 years ago
Joong Ki paid a total of ₱90 for 6 singkamas and 11 ponkans. If a singkamas and a ponkan cost ₱10, how much does each cost? ANSW
Serggg [28]

Step-by-step explanation:

singkamas: 60 pesos

ponkan: 110 pesos

5 0
2 years ago
For what value of a does 9 equal 1/27 a + 3​
Yakvenalex [24]

Answer:

a = 162

Step-by-step explanation:

9 = 1/27 a +3

Subtract 3 from each side

9-3 = 1/27 a +3-3

6 = 1/27 a

Multiply each side by 27

6*27 = 1/27 a *27

162 = a

6 0
3 years ago
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Which question is best modeled with a division expression? How many StartFraction 3 Over 8 EndFraction’s are in 48? What is Star
topjm [15]

Answer:

Im pretty sure its the first choice but the question is hard to read

Step-by-step explanation:

4 0
3 years ago
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6. Write an algebraic expression for the word phrase 5 times the product of x and y
Lena [83]

Answer:

5+x=y ,x-y=5,y-x=5,5-x=y,y+5=x

Step-by-step explanation:

8 0
3 years ago
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