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3 years ago

The measure of the supplement of abc equals 180 minus m Abc this is the definition of supplement or complement angle

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

8 0

Complement: The sum of two angles equals 90°

Supplement: The sum of two angles equals 180°

Answer: Supplement

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5. What is the slope of the line that passes through (-2, 4) and (7, 1)?

just olya [345]

Answer:

Slope: $-\frac{1}{3}$

Step-by-step explanation:

Step 1: Use slope formula to find the slope

$m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}$

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is $-\frac{1}{3}$

4 0

3 years ago

Could someone please help? They don’t need to be solved I just need help with the translating.

Lorico [155]

Answer:

I won't solve i'll translate like you asked

Step-by-step explanation:

13) x - 5 = 21

14) 12 × y = 48

15) b + 10 = 13

If you want I can solve.

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5 0

3 years ago

The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st

Ainat [17]

Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ = 20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(finished the race in under 45 seconds.)

P(x < 45)

$P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)$

Calculation the value from standard normal z table, we have,

$P(x < 45) = 0.067 = 6.7\%$

6.7% of children who finished the race in under 45 seconds.

4 0

3 years ago

Convert to scientific notation: 0.0509.

fomenos

Answer:

5.09 × 10^-2

Step-by-step explanation:

You have to take the number go to the decimal and move it until you get to the first number and in this case, it is 5 put the decimal there. To write it you have to count the number of times you moved the decimal. when doing this it will always be a number times 10^ the number you moved the decimal.

5 0

3 years ago

Given that <br><img src="https://tex.z-dn.net/?f=2%20%7B%7D%5E%7Bx%7D%20%20%3D%200.125" id="TexFormula1" title="2 {}^{x} = 0.12

Luda [366]

Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative

5 0

3 years ago

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