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Brut [27]
2 years ago
10

For what value of x is P|| BC? A. 5 B. 6 C. 7 D. 8

Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

Answer:

Option C. x=7

Step-by-step explanation:

we know that

If PQ is parallel to BC

then

triangles APQ and ABC are similar

Remember that

If two figures are similar them the ratio of its corresponding sides is proportional

so

\frac{AP}{AB}=\frac{AQ}{AC}

substitute the values

\frac{x}{x+7+x}=\frac{x-3}{x-3+x+1}

Solve for x

\frac{x}{2x+7}=\frac{x-3}{2x-2}\\ \\x(2x-2)=(2x+7)(x-3)\\ \\2x^{2}-2x=2x^{2}-6x+7x-21\\ \\3x=21\\ \\x=7\ units

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laila [671]

Answer:

D.

Step-by-step explanation:

Complementary angles are two angles whose measures add to 90°.

A.

m<CFD = 150° - 100° = 50°

m<EFD = 180° - 150° = 30°

Sum = 80°

No

B.

m<AFB = 40°

m<DFE = m<EFD = 30°

Sum = 70°

No

C.

m<AFC = 100°

Sum > 100°

No

D.

m<BFC = 100° - 40° = 60°

m<DFE = 30°

Sum = 90°

Yes

Answer: D.

8 0
2 years ago
If the 0 in the numeral 60428 is changed to 6 , by how much is the new number greater?
aniked [119]

I think it should be 6000 more! If not im so sorry!! Have a nice day!!

3 0
2 years ago
PLEASE ANSWER ASAP!!! Which of the following is a polynomial? Choose all answers that are correct.
Liono4ka [1.6K]
B) D) and probably C) I’m not sure
5 0
2 years ago
Can someone help me please
Lady bird [3.3K]
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8 0
3 years ago
Rewrite the equation by completing the square.<br> x^2 + 2x – 48 = 0
slamgirl [31]

Answer:

(x+1)^2 = 49

x = 6                 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

2

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1  ±7

x = -1+7          x = -1 -7

x = 6                 x = -8

3 0
3 years ago
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