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Dmitry_Shevchenko [17]
2 years ago
15

ABCD is a parallelogram. Determine the measure of ZB. A) 78° B) 52° C) 39° D) 96°

Mathematics
2 answers:
vovikov84 [41]2 years ago
8 0

\huge\fbox{Answer ☘}

☆ given that ,

ABCD is a parallelogram

☆ we know that ,

opposite angles of a parallelogram are equal.

Therefore ,

\bold\blue{∠B \:= \:∠D}

\pink{3x = x + 52} \\ \pink{3x - x = 52 }\\\pink{ 2x = 52 }\\\pink{ x =  \frac{52}{2}}  \\ \\ \bold\blue{x = 26}

therefore , ∠B = 3x = 3 ( 26° ) = 78°

\fbox{∠B \: = \: 78°}

thus option ( A ) is correct ~

hope helpful~

alexandr1967 [171]2 years ago
5 0
Answer is A due to 78° being zb
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Hi!

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2 years ago
Factor by grouping. 9c^3-12c^2+18c-24
xeze [42]

Answer:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

Step-by-step explanation:

Given

9c^3 - 12c^2 - 18c - 24

Required

Factor

Group into 2

[9c^3 - 12c^2] - [18c + 24]

Factorize each group

3c^2[3c - 4] - 6[3c - 4]

Factor out 3c - 4

[3c^2 - 6][3c - 4]

Hence:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

8 0
2 years ago
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pshichka [43]

Answer:

For question 1 it's B

For question 2 it's C

Step-by-step explanation:

<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>

A+B > C

B+C > A

A+C > B

Let's say that A=22, B=17, C= 14

22+17 > 14       True

17+14 > 22       True

22+14 > 17       True

Therefore, the answer is B

<u>For question 2, you apply the rule of the sum of the triangles which is 180°</u>

70+70+? = 180

140+? = 180

? = 40

Therefore, it's C

8 0
2 years ago
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