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denis-greek [22]
3 years ago
9

I need help with 15.) 17.) and 19.) I have attached the answers I just need help with how to solve them

Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Answer:

Step-by-step explanation:

They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2

for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle  360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.

some of the problems you can set up the equation and solve.

17) 63 = {(360-x) - x} /2     multiply by 2

126 = {(360-x) - x}     combine like terms

126 = 360 - 2x           subtract 360

-234 = -2x                   divide by -2

117 = x

? = 117 degrees

good luck

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In the Brady's Family, each girl has twice as many brothers as she has sisters.
levacccp [35]

Answer:

3 girls and 4 boys

Step-by-step explanation:

Writing the number of girls in the family as g and the number of boys in the family as b,

we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as

b = 2(g-1)

Next,

we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as

b-1 = g

Therefore, we have

b = 2(g-1)

b-1 = g

Plugging b-1 = g into the first equation, we get

b = 2 (g-1)

2(g-1) = 2((b-1) - 1) = b

= 2(b-1-1)

= 2(b-2)

= 2b-4

b = 2b-4

subtract 2b from both sides to make it so that only b values and their coefficients are on one side

-b = -4

multiply both sides by -1 to solve for b

b=4

Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.

3 0
3 years ago
Please help me with this question
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The answer to your question is as follows
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