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jok3333 [9.3K]
3 years ago
9

What is the value of x? A. 3 B. 9 C. 15 D. 30

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

<em>C. 15</em>

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × <u>3</u> = 15

3 × <u>3</u> = 9

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Please solve this equation
tangare [24]

Answer:

∠2 = 41°

Step-by-step explanation:

This is because, all three interior angles in a triangle will have a sum of 180 degrees.

So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;

49 + 90 + x = 180

139 + x = 180

-139        -139

x = 41°, ∠2 = 41°

3 0
2 years ago
QUESTION 3 - Distinguish whether the following pairs of events are dependent
TiliK225 [7]

Two eventis are independent if knowledge about the first doesn't change your expectation about the second.

a) Independent: After you know that the first die showed 4, you stille expect all 6 numbers from the second. So, the fact that the first die showed 4 doesn't change your expectation about the second die: it can still show numbers from 1 to 6 with probability 1/6 each.

b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.

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8 0
3 years ago
What number must be added to 14,056 to result in the sum of 38,773
Vlada [557]
24,717.
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14,056+24,717=38,773.
8 0
3 years ago
1. Write an equation for a line that has a slope of 4 and passes
marishachu [46]

Answer:

y = 4x+23

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

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7 = 4(-4)+b

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Question 4 (0.5 points)
photoshop1234 [79]
It has to be b because none of the others are correct.
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3 years ago
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