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galina1969 [7]
3 years ago
7

I need help for numbers 5 and 6

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

Below in bold,

Step-by-step explanation:

5.

m < JIK = the sum of the measure of the other 2 angles so we have:

140 - 6x = 20x - 10 + 8x - 20

140 + 10 + 20 = 20x + 6x + 8x

170 = 34x

x = 5.

m < JIL = 20(5) - 10 = 90 degrees.

m < LIK = 8(5) - 20 = 20 degrees.

m < JIK = 140 -5(5) = 110 degrees.

6. 5x = 8x - 4      (as QB is the bisector of < AQC.

Solve for x then substitute the value of x as in question 5.

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Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
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Answer:

a) Add 4 to both sides, and then divide by 2. The solution is x=12.

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

2x-4=20

We need to determine the steps in order to solve for x.

Solving for x.

Step 1: Adding 4 both sides.

2x-4+4=20+4

2x=24

Step 2: Dividing both sides by 2.

\frac{2x}{2}=\frac{24}{2}

∴ x=12

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