Which of the following statements is true?

For question 3, use the Pythagorean Theorem.

Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

so

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0

3 years ago

Jacob is selling candy bars for his basketball team he already sold 23 but he wants to sell 200 he is able to sell 15 per day ho

Nataly_w [17]

Answer:

$11.8 days$

Step-by-step explanation:

Given:

Sales per day: 15 candy bars

Goal: 200 candy bars

Already sold: 23 candy bars

With this information, we can set up an equation to find out how many days it will take him to reach his goal.

Let d = days; solve for $d$ .

$15d + 23 = 200$

$15d=177$

$d=11.8$

In conclusion, it will take Jacob 11.8 days to reach his goal of 200 candy bars.

3 0

4 years ago

Kimberly loves to ski in the winter, but her least favorite part is riding the slow ski lift to the top of the mountain. Each sk

Nuetrik [128]

60 = 5(r)

60 means total amount of mint
5 means minutes per ride
R is the amount of rides
R = 30 or 30 rides

8 0

3 years ago

Solve w2+13w+42=0 by factoring.

Lesechka [4]

Answer:

w = -7, -6

Step-by-step explanation:

Solve the equation by factoring:

(w+7)(w+6) = 0

Set each parenthesis equal to zero, and solve for w:

w = -7, -6

Hope this helps!

-EmV

7 0

3 years ago

Read 2 more answers

Person A leaves his home to visit his cousin, person B who lives 76 miles away. He travels at an average rate of 44 miles per ho

MrRa [10]

Answer:

There are going to meet half a hour after person B leaves.

Step-by-step explanation:

The first step to solve this problem is model the position equation for both person A and person B. It can be done by a first order equation.

I am going to say that the positive direction is from the person A to the person B. So, A starts at the position 0 and B at the position 76.

The first step is to find the equation of the position of person A

The initial position of A is 0 and he travels 44 miles per hour in the direction of B, so to the positive diretion. So, the position S of person A is

$S_{A}(t) = 44t$ ,

where t is the time in hours.

Now we have to find the equation of the position of person B

The initial position of B is 76 and he travels 64 miles per hour in the direction A, so in the negative direction. The position S of person B is

$S_{B}(t) = 76 - 64t$

Now we have to restart the time from the moment the person B leaves her house.

It happens at 0.5h, at this moment the person A is at the position

$S_{A}(0.5) = 44*(0.5) = 22$

So, from this moment, the equation of the position of A is:

$S_{A}(t) = 22 + 44t$

They will meet at the instant t when

$S_{A}(t) = S_{B}(t)$

$22 + 44t = 76 - 64t$

$108t = 54$

t = 0.5h

There are going to meet half a hour after person B leaves.

8 0

3 years ago