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algol [13]
4 years ago
8

What is the measure of B, in degrees? A. 160 B. Cannot be determined C. 74° D. 329

Mathematics
2 answers:
hodyreva [135]4 years ago
7 0

Answer:

D. 32°

Step-by-step explanation:

C=A because the triangle is isosceles.

A+B+C=180- Sum of angles in a triangle

74+B+74 = 180

148+B=180

B=32°

Luden [163]4 years ago
3 0

Answer:

32°

Step-by-step explanation:

The triangle ABC is a isosceles so angle A = angle C

The sum of interior angles in a triangle is = 180°

74 + 74 + angle B = 180

B = 32°

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Two years ago ,a woman was 7 times as old as her daughter,but in 3 years time ,she would be 2 times as old as the girl,how old a
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<u>According to the questi</u>on,

Case 1 :

Two years ago,

Woman age = ( x - 2 ) years

Her daughter age = ( y - 2 ) years

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

Case 2 :

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii )

Now,

★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Substituting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

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Part B
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Answer:

C   D  and E

Step-by-step explanation:

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