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Crazy boy [7]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

Since ΔACB ≅ ΔDCE then ∠A ≅ ∠D, that is

3x - 10 = 2x + 10 ( subtract 2x from both sides )

x - 10 = 10 ( add 10 to both sides )

x = 20

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Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got
ss7ja [257]

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

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3 years ago
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A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​
pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

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So the x-intercept is 21

6 0
3 years ago
Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A.
AysviL [449]

Answer:

The exact value of sin A is opp/hyp = -12/13

Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive.  Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2,   Therefore y = √(hyp^2 - adj^2), or

y = -√(13^2 - 25) = -√144 = 12.

The exact value of sin A is opp/hyp = -12/13

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3 years ago
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3 years ago
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