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3 years ago

6

Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to co

mplete the proof

1 answer:

vekshin13 years ago

3 0

You need to measure the parallel lines on and add them

You might be interested in

Suppose that the regression for predicting weight (in pounds) from Height (in Select one answer inches) is given by Weight =-115

Nutka1998 [239]

Answer:

Option D) I and II only

Step-by-step explanation:

We are given the following in the question:

Regression equation:

$w = -115 + 3.6h$

where w is the weight in pounds and h is the height in inches.

Since the weight depends on height, height becomes the independent variable and weight becomes the dependent variable.

I. A person who is 61 inches tall will weigh 104.6 pounds

When h = 61,

$w = -115 + 3.6(61) = 104.6$

Thus, the given statement is true.

II. For every additional inch of height, the predicted weight will increase, on average, by 3.6 pounds.

If the height increases by 1 unit, then,

$w(h+1) - w(h) = -115 + 3.6(h+1) - (-115 + 3.6(h))\\w(h+1) - w(h) = 3.6(h+1-h)\\w(h+1) - w(h) = 3.6$

Thus, the given statement is correct.

III. The correlation between weight and height is negative.

No, the given statement is not correct as with increase in height the weight increases and with decrease in height the weight decreases.

Thus, the correct answer is

Option D) I and II only

8 0

3 years ago

For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.

azamat

Answer:

-4 is the average rate of change from 3 to 4

Step-by-step explanation:

Average rate of change is defined as the fraction of change in f(x) value to change in x value.

Here we have x values as 3 and 4.

To find the average rate of change from x=3 to x=4

Average rate of change = change in f(x)/change in x

f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4

Change in x = 4-3 =1

6 0

3 years ago

Read 2 more answers

A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?

aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

4 0

3 years ago

62.5% as two equivalent forms

mrs_skeptik [129]

62.5/100 and 0.625 are both equivalent.

5 0

3 years ago

Read 2 more answers

Natalie added 20 pieces of candy to a bowl. Two days later, half of the candy in the bowl is gone. If there are 14 pieces left i

Salsk061 [2.6K]

Answer:

8 pieces of candy

Step-by-step explanation:

Take the original amount of candy in the bowl to be $x$ .

It says that 20 pieces of candy were added, therefore there are $x+20$ pieces of candy in the bowl.

Half of the candy is gone, therefore $\frac{x+20}{2}$ pieces of candy are left in the bowl.

After half of the candy is gone, there are 14 pieces left, so we can say that $\frac{x+20}{2} =14$

Solve for $x$ :

$x+20 = 28$

$x=8$

8 0

3 years ago