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polet [3.4K]
2 years ago
15

Need help please exams tomorrow

Mathematics
1 answer:
Romashka [77]2 years ago
7 0

<u>Answer:</u>

  • The value of x is 14.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • ΔABC ≅ ΔEFG
  • 21 x 2/3 = x

<u>Work:</u>

  • 21 x 2/3 = x
  • => 7 x 3 x 2/3 = x
  • => 7 x 2 = x
  • => 14 = x

Hence, <u>the value of x is 14.</u>

Hoped this helped.

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Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.​
olga55 [171]

Answer:

m<4 = 52°

m<BFD = 98°

Step-by-step explanation:

m<1 = (3x)°

m<2 = (5x - 7)°

m<3 = (4x + 15)°

m<AFD = 128°

✔️Find m<4:

m<4 = 180° - m<AFD (angles on a straight line)

Substitute

m<4 = 180° - 128°

m<4 = 52°

✔️m<BFD = m<2 + m<3

Substitute

m<BFD = (5x - 7)° + (4x + 15)°

We need to find the value of x.

Create an equation to find x.

m<1 + m<2 + m<3 = m<AFD (angle addition postulate)

Substitute

3x + 5x - 7 + 4x + 15 = 128°

Add like terms and solve for x

12x + 8 = 128

12x + 8 - 8 = 128 - 8

12x = 120

12x/12 = 120/12

x = 10

m<BFD = (5x - 7)° + (4x + 15)°

Plug in the value of x

m<BFD = 5(10) - 7 + 4(10) + 15

m<BFD = 50 - 7 + 40 + 15

m<BFD = 98°

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Answer:

d > 6 3/4

Step-by-step explanation:

Given that:

72 hot dogs in 10 minutes is required to break Record ;

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Number of consumption per minute required to break record :

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