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Rama09 [41]
3 years ago
10

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

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

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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Keith_Richards [23]

The correct answer is Option C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?

Further explanation:

Given equation is:

9x+14

We will look at the options one by one

<u>A.9 dogs and 14 dogs and 14 cats cost $100</u>

If this option has to be considered, there will be atleast two variables involved one for the dogs and one for the cats while the given equation only involves one variable so this is not the correct option.

<u>B. Ty wants to buy 14 dogs, but they cost $100, how much more does he need?</u>

The given scenario cannot be linked to given equation if x represents dogs the equation will be something like 14x=100 so this option is not the correct answer.

<u>C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?</u>

The number 14 will be constant as this is the value which is used only once while ty earns 9 dollar per week if x represents number of weeks then the equation to represent the scenario will be

9x+14=100

The value of x will give us the number of weeks required.

The correct answer is Option C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?

Keywords: Linear equations, linear inequality

Learn more about linear equations at:

  • brainly.com/question/1517035
  • brainly.com/question/1506379

#LearnwithBrainly

5 0
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Kobotan [32]
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Help please, asap, And take your time answering please!
ankoles [38]

Answer:

  (a) 25

  (b) (5+4)*2 +6 -2*2 -1

  (c) see below

Step-by-step explanation:

(a) evaluating exponents:

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Evaluating products:

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Evaluating sums:

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(b) The last three terms of the expression sum to +1, and it is fairly easy to modify the first two terms to make one term that has a value of 18. Then the expression evaluates as 18+1 = 19.

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(c) Evaluating parentheses:

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Evaluating products:

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Evaluating sums (left to right):

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  = 20 -1

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shutvik [7]

Answer:

(b × h) ÷ 2

Step-by-step explanation:

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almond37 [142]

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500x3=1500

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4 years ago
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