3 ft<br> 4 ft<br> What is the length of the hypotenuse

Tresset [83]

So if 18 + x =43, then what you need to do is

18 + x =43
-18 -18
——————
x = 25

because whatever you do to one side, you need to do to the other

5 0

3 years ago

Write the word sentence as an equation. Then solve.

nekit [7.7K]

Answer:

Equation- p-6= -14

Answer- p=-8

Step-by-step explanation:

8 0

3 years ago

Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how wel

nydimaria [60]

Answer:

A) 33.3%

B) 50 %

Step-by-step explanation:

A) if there are 3 balls always in the bucket you need to see what one balk represent one ball is 1÷3 which is 0.33 so by knowing that if Vikram drops the ball back into the bucket after the hit there would be a 33 % chance he will chose the same or a different ball in order.

B)if he won't put the ball back in the bucket there will be only 2 balls felt so 1÷2 = 0.5 so there is a 50 % chance of Victor getting the balls in the correct order

8 0

2 years ago

Which can be used to prove that lines l and m are parallel? A) same-side exterior angle theorem B) converse of the alternate int

Debora [2.8K]

Option B, C, D

Out of four given options following three options are used to prove line l and m are parallel.

B) Converse of the alternate interior angles theorem

C) Converse of the same-side interior angles theorem

D) Converse of corresponding angles postulate

<u>Solution: </u>

Need to check which theorem out of four given theorem can be used to prove two lines are parallel

Lets check first what each theorem says.

A ) Same-side exterior angle theorem says that when a transversal line intersects two parallel lines , same side exterior angles are supplementary. So first condition to apply is that two lines should be parallel and this first condition is used to say same side exterior angles are supplementary. So cannot use Same-side exterior angle theorem to prove two lines are parallel.

B) Converse of the alternate interior angles theorem : this theorem says when two lines intersected by transversal forms equal alternate interior angles then two lines are parallel. So yes this can use to check or prove that l and m are parallel by drawing a transversal intersecting l and m and checking alternate interior angles.

C ) Converse of the same-side interior angles theorem: this theorem says when two lines intersected by transversal forms supplementary same side interior angles then two lines are parallel. So yes this can use to check or prove that l and m are parallel by drawing a transversal intersecting l and m and checking same side interior angles.

D) Converse of corresponding angles postulate: this postulate says when two lines intersected by transversal forms congruent corresponding angles then two lines are parallel. So yes this can use to check or prove that l and m are parallel by drawing a transversal intersecting l and m and checking corresponding angles.

Hence out of four given options following three options are used to prove line l and m are parallel.

B) Converse of the alternate interior angles theorem

C) Converse of the same-side interior angles theorem

D) Converse of corresponding angles postulate

3 0

3 years ago

Read 2 more answers

An automobile manufacturer claims that its van has a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contra

Yuliya22 [10]

Answer:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

$p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation for the sample

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We can assume that we conduct a hypothesis in order to check if the true mean is equal to 31.3 , the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

5 0

3 years ago

3 ft 4 ft What is the length of the hypotenuse