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Paul [167]
3 years ago
5

How do you prove this?

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.

Step-by-step explanation:

Informally, subtract DE from CE and DF. This will show CD ≅ EF.

Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.

Corresponding parts of congruent triangles are congruent, namely the angles C and F.

Since base angles of ΔACF are congruent, it is isosceles.

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3 years ago
Assuming boys and girls are equally​ likely, find the probability of a couple having a baby girl when their sixth child is​ born
Ivanshal [37]

Answer:  The required probability of having 6th girl is 0.5.

Step-by-step explanation:  Given that boys and girls are equally likely.

We are to find the probability of a couple having a baby girl when their sixth child is​ born, given that the first five children were all girls.

Since the events of having a boy and a girl are independent of each other, so

the probability of having 6th girl dose not depend on the birth of the first five girls.

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Therefore, the probability of event E is given by

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3 0
3 years ago
Given the following information: a circle with a radius of 10cm and has a center of (-9, -2).
spin [16.1K]

Answer:

Equation: (x+9)² + (y+2)² = 100

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Step-by-step explanation:

(h, k)  (-9, -2)

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4 points: (1, -2) (-1, 4), (-3, -10) (-19, -2)

(-3, 6) is on the circle

check: (-3 + 9)² + (6 + 2)² = 36 + 64 = 100 = 10²

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Is there a decimal piont

6 0
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After a 60% reduction you purchase a new sofa on sale for 224.what is the original price of the sofa
zhenek [66]

Step-by-step explanation:

after 60% reduction he paid 40% of its price=224

\frac{40}{100}  =  \frac{224}{?}

224×100=40×?

?=560

6 0
3 years ago
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