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Bumek [7]
3 years ago
10

George is given two circles, circle O and circle X 1 as shown. If he wants to prove that the two circles are similar, what would

be the correct first step in his proof? Given: The radius of circle Oisrand the radius of circle Xis Prove: Circle similar to circle X.

Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Given: The radius of circle O is r, and the radius of circle X is r'.

To prove: Circle O is similar to circle X.

Proof: Move the center of the smaller circle onto the center of the largest circle. Translate the circle X by the vector XA onto circle O. The circles now have the same center.

A dilation is needed to increase the size of circle X to coincide with the circle O. A value which when multiplied by r' will create r.

The scale factor x to increase X:

⇒

A translation followed by a dilation with scale factor  will map one circle to the other, thus proving the given both circles similar.

Therefore, circle O is similar to circle X.

Step-by-step explanation:

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Please help me..............................
myrzilka [38]

Answer:

y = 12

Step-by-step explanation:

∵ m∠ABC = 40

∵ BD ray is the bisector of ∠ABC

∴ m∠ABD = m∠CBD = 20

In 2 Δ BAD and BCD:

∵ m∠BAD = m∠BCD = 90°

∵ m∠ABD = m∠CBD = 20°

∵ BD is a common side in the two triangles

∴ ΔABD congruent to ΔCBD⇒(AAS)

∴ AD = CD

∴ 3y + 6 = 5y - 18

∴ 5y - 3y = 6 + 18

∴ 2y = 24

∴ y = 24/2 = 12

6 0
3 years ago
मिनधन १.. 18,900 हुन्छ भन सावा रकम पता लगा
Vladimir [108]

Answer:

Solution given:

principal [P]=P

time [T]=4 years

Rate [R]=13%

compound amount=18900

Simple interest=P-18900

we have

simple interest=\frac{P*T*R}{100}

P-18900=\frac{P*4*13}{100}

100P-1890000=52P

48P=1890000

P=1890000/48

P=39375

the sum that amounts =Rs 39375

5 0
3 years ago
Please help explanation if possible
Andrej [43]

9514 1404 393

Answer:

  y -4 = -2(x -(-11))

Step-by-step explanation:

The point slope formula is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

So, the boxes in order from left to right are k, m, h.

The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.

Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...

  y-\boxed{4}=\boxed{-2}(x-\boxed{-11})

7 0
2 years ago
Greg needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.99 . Brand B has a box of 42 spoons for $3.89 . Find the
Helga [31]
To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Hope this helps.
8 0
3 years ago
Read 2 more answers
Using the figure below, find the area of the circle.
jeyben [28]
Refers to the attachment
6 0
2 years ago
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