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3 years ago

Find the measures of two supplementary

Mathematics

1 answer:

Nuetrik [128]3 years ago

6 0

Please find attached photograph for your answer. Hope it helps. Please do comment.

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Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

3 years ago

Read 2 more answers

29. Find CD.<br> 30. Find ZV.

Tems11 [23]

Answer:

for cd it's 12 I believe fs

8 0

3 years ago

Mike deposited $200 into his

liberstina [14]

Maybe savings account

5 0

3 years ago

Subtract:

choli [55]

Answer:

it's answer is D -92

As -57-19-16= -92

3 0

3 years ago

Read 2 more answers

Am I correct on 12?

lukranit [14]

Yes, HL would be correct.

This states that if two hypotenuses are congruent (they have the same one)

and if one pair of legs are congruent,

the figure is congruent.

I hope this helps!
~cupcake

7 0

4 years ago