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2 years ago

In the rhombus below, solve for x and y. (Round to the nearest tenth as needed.)

Mathematics

1 answer:

schepotkina [342]2 years ago

3 0

The measure of angles x and y are 90 degrees and 59 degrees.

<h3>What is a rhombus?</h3>

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have shown the rhombus in the picture.

As we know the diagonals bisect at a 90-degree angle.

So angle x = 90 degree

To find the value of y:

31 + y + 90 = 180

y = 59 degrees

Thus, the measure of angles x and y are 90 degrees and 59 degrees.

Learn more about the rhombus here:

brainly.com/question/22825947

#SPJ1

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Use the equation below to find v, if u = 18, a=6, and t =4. V=u+at

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Answer:42

Step-by-step explanation:

V= 18 + 6(4)

V= 18 + 24

V= 42

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3 years ago

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You have $2000 to deposit for 7 years and two account options. The first earns you simple interest at a rate of 4% and the secon

pogonyaev

Answer:

First account (simple interest)

Step-by-step explanation:

The amount of interest earned by the first account is ...

I = Prt = $2000·0.04·7 = $2000·0.28 = $560

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FV = P·(1+r)^t = $2000·1.02^7 = $2297.37

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3 years ago

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

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3 years ago

. (a + b)2 – (2a – b)

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Answer:

(-b) is the answer.

Step-by-step explanation:

2(a-b)-(2a-b)

=2a-2b-2a+b (opening the brackets)

= -b

Hope this helps you buddy. Have a nice day^_^.

If you have doubt then you can ask in comments. I will surely answer.

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2 years ago

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How many FIVES are equal in value to £7?

OLga [1]

<span>£1 equals to 1.43 us dollars.

7 </span>× 1.43 = <span>10.01

</span>10.01 ÷ 5 = <span>2.002
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2 fives are equal to <span>£7. </span>

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3 years ago