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olganol [36]
3 years ago
15

Which number completes the square to form a perfect square trinomial? x2 +12x +

Mathematics
2 answers:
DanielleElmas [232]3 years ago
6 0

Answer:

36

Step-by-step explanation:

● x^2 + 12x

● 1 × x^2 + 2 × 1 × 6 × x

Notice that the third term is 6

So we will add 36 (6^2)

● x^2 + 12x + 36

● (x+6)^2

Lady bird [3.3K]3 years ago
4 0

Answer:

36

Step-by-step explanation:

(x + 6)(x+6)

F.O.I.L.

x^2 +6x + 6x + 36

X^2 + 12x + 36

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In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
aleksandr82 [10.1K]

Answer:

B = 108

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Step-by-step explanation:

Given

B =13x - 35

C = 5x - 19

D=2x+14

BC = BD

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

B + C + D = 180

Since BC = BD, then C = D

B + C + D = 180 can then be rewritten as:

B + C + C = 180

B + 2C = 180

Substitute values for B and C

13x - 35 + 2(5x - 19) = 180

Open Bracket

13x - 35 + 10x - 38 = 180

Collect Like Terms

13x + 10x = 180 + 38 + 35

23x= 253

Divide both sides by 23

x = 11

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

B =13x - 35

B = 13 * 11 - 35

B = 108

C = 5x - 19

C = 5 * 11 - 19

C = 36

D=2x+14

D = 2 * 11 + 14

D = 36

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Step-by-step explanation:

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