Simplify the expression: 4 ( x+3) +5(5-x)

Need help (problem and directions in the image):

Alex

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

In the image shown:

AC = CE, BC = ED and they have the same angle (opposite angles are congruent).

Hence:

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.

AB = DE = 52.2 ft

Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft

Find out more on congruent triangles at: brainly.com/question/2938476

#SPJ1

6 0

2 years ago

Dos angulos son congruentes si tienen la misma amplitud

Margarita [4]

Answer:

true

Step-by-step explanation:

2 angles are congruent when they they have the same measure

6 0

3 years ago

You are thinking of employing a t procedure to test hypotheses about the mean of a population using a significance level of 0.05

Murljashka [212]

Answer: B. You may use the t procedure, provided your sample size is large, say, at least 30.

Step-by-step explanation: To use a T test hypothesis, the following steps is considered;

1. Add the test hypothesis when using a T test module in the experiment

2. Add the date set that contains the columns that is to be analyzed

3. Decide which kind of T test is appropriated for the data

4. If single sample is been used, the adequate parameters should be used.

The correct statement in this case is "You may use the t procedure, provided your sample size is large, say, at least 30."

8 0

3 years ago

Which is the value of 32− 3 b 2 - b when b = 5

zepelin [54]

I think i don’t believe me 32-225-5= -198

7 0

3 years ago

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal di

PIT_PIT [208]

Answer:

a) 11.51%; b) 13 minutes

Step-by-step explanation:

We will use a z score to answer these questions. The formula for a z score is

$z=\frac{X-\mu}{\sigma}$

For part a, X is 20, the mean is 17 and the standard deviation is 2.5:

z = (20-17)/2.5 = 3/2.5 = 1.2

Using a z table, we see the area to the left of, or less than, this value is 0.8849; this means the area to the right of, or greater than, is 1-0.8849 = 0.1151. This means 11.51% of people have a time greater than 20 minutes and get half off.

For part b, we start out in the z table finding values as close to 5%, or 0.05, as possible. There are two possibilities, 0.0505 (z=-1.64) and 0.0495 (z=-1.65). Since they are equally distant from the desired value, we will use -1.645 for z. Our values for the mean and standard deviation are the same:

-1.645 = (X-17)/2.5

Multiply both sides by 2.5:

2.5(-1.645) = ((X-17)/2.5)(2.5)

-4.1125 = X-17

Add 17 to each side:

-4.1125+17 = X-17+17

12.8875 = X

This means the garage should make the guaranteed time no more than 13 minutes.

8 0

3 years ago