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3 years ago

Two congruent sides of kite ABCD have lengths on 2x+8 and 7x-12. What is the length of one of these two sides?

1 answer:

5 0

So this... is a slightly complicated problem you have to set up an equation.... so 7x-12=2x+8 you subtract 2x and add 12 to both side so now you have 5x=20 now divide both sides by 5 now you have x= 4 so plug it into the problems for the sides 2(4)+8= 14 is the length of one side and 7(4)-12=16 so 16 is the length for the other now you just pick the measurement to use hope this helped!!!!! have an amazing day!

You might be interested in

If you flip a coin 150 times about how many times would you expect to get heads

meriva

A coin has two sides, which means it has a 1/2 chance of landing on each individual side when you flip the coin. Since there is a 1/2 chance of landing on each side, you could expect the coin to land on "Heads' 75 times.

3 0

3 years ago

The smallest square number which can be divisible by 11 and 5

Elena L [17]

Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

$\sqrt{55x} = \sqrt{5 \times 11 \times x}$

the smallest value of x to make 55x a perfect square is....

$x = 11 \times 5 = 55$

Therefore the number is.... .

$55x = 55(55) = 3025$

sweet right

<h2>BRAINLIEST PLS....</h2>

6 0

3 years ago

Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching televis

timama [110]

Answer:

18 > 14, true

12 - 16 = -4, true

Mean:

Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73
Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

The difference:

14.8 - 11.73 > 1, NOT true

True

3 0

3 years ago

A cylinder has a radius of 7 inches and a height of 13 in. What is the volume of the cylinder?

madreJ [45]

Answer:

2,637.18 $in^{3}$

Step-by-step explanation:

The formula for finding the volume of a cylinder is....

V = π $r^{2}h$

π = 3.14

Radius = 7

Height = 13

Now that we have what we need, we can substitute the numbers into the equations to get our volume

V = π $r^{2}h$

V = 3.14 * $7^{2}$ * 13

V = 3.14 * 49 * 13

V = 202.86 * 13

V = 2,637.18

The volume of the cylinder is 2,637.18 $in^{3}$

Hope this helped!

have a supercalifragilisitcexpialidocious day!

5 0

2 years ago

A sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's p

Grace [21]

Answer:

Yes, we have sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.

Let Null Hypothesis, $H_0$ : p $\leq$ 0.29 {means that less than or equal to 29% do not fail in the first 1000 hours of their use}

Alternate Hypothesis, $H_1$ : p > 0.29 {means that more than 29% do not fail in the first 1000 hours of their use}

The test statics that will be used here is One-sample proportions test;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of chips that do not fail in the first 1000 hours of their use = 32%

n = sample of chips = 1500

So, test statistics = $\frac{0.32-0.29}{\sqrt{\frac{0.32(1-0.32)}{1500} } }$

= 2.491

Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.

Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.

7 0

3 years ago