All categories

2 years ago

If UW=4t-16 and UY=t+14, find UY in Rhombus VWXY

Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

Answer:

$UY = 24$

Step-by-step explanation:

UW can be set to equal UY, because the lines are the same lengths.

$4t - 16 = t + 14$

$3t = 30$

$t = 10$

So now that we found <em>t, </em>we need to find what UY is... So plugging 10 back in for <em>t</em>, we get:

$UY = 10 + 14\\UY = 24$

You might be interested in

The vertices of a triangle are located on a coordinate grid as follows: A (2,2) ,B (2,-6) , and C (-5,-6) . What is the area of

inn [45]

The answer for this question will be c. 28 square units.

3 0

2 years ago

Which of the following relations is a function?

Agata [3.3K]

Answer:

Step-by-step explanation:

Because in D, there no x-value that are repeating in the list.

For example A, the value 8 and -8 are being repeated twice, which makes this relation not a fuction.

5 0

3 years ago

45% of $360 is what as a quantity

Bess [88]

I'm assuming you want to know what 45% of 360 is.....

so you multiply 360 by 0.45 (since 45 is a percent, and to revert it back, you must move the decimal 2 times to the left) and you have your answer...

5 0

3 years ago

According to a study conducted in one city, 34% of adults in the city have credit card debts of more than$2000. A sample n=300 i

JulsSmile [24]

Answer:

p hat≈N(0.34,0.0273)

Step-by-step explanation:

Given information p=0.34

Number of random samples=300

The sampling distribution of p hat is

p∧≈N(0.34,\sqrt{\frac{0.34(1-0.34)}{300}})

≈N(0.34,0.0273)

4 0

3 years ago

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of

emmasim [6.3K]

Answer:

The null hypothesis is: $H_{0}: \mu = 100$

The alternative hypothesis is: $H_{a}: \mu > 100$

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: $H_{0}: \mu = 100$

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: $H_{a}: \mu > 100$

3 0

3 years ago