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2 years ago

Triangles L K N and P Q M are shown. Sides K L and Q P are congruent. Angles L K N and P Q M are right angles.

Mathematics

2 answers:

horsena [70]2 years ago

5 0

Additional information required is ∠L ≅ ∠P

Step-by-step explanation:

Step 1: Find additional information required to prove the ASA theorem.

The ASA congruence theorem is the Angle-Side-Angle Theorem where 2 angles and the side included between these 2 angles should be congruent.

Given that KL ≅ QP and ∠K ≅ ∠Q.

Now that one congruent angle and one side are found, the other angle is additionally needed.

⇒ Additional information required is ∠L ≅ ∠P

andriy [413]2 years ago

5 0

Answer:

D is right i just do on edg

Step-by-step explanation:

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A helicopter hovers over a mountain top, and a professional snowboarder drops onto the snow 252525 feet below. the snowboarder's

pantera1 [17]

Given:
h(t) = 25 - a·t²
h(0.5) = 21

Find:
t such that h(t) = 0

Solution:
h(0.5) = 25 - a·0.5² = 21
25 - 21 = a/4
4·4 = a = 16
Then
h(t) = 25 - 16t²
We want h(t) = 0, so
0 = 25 - 16t²
16t² = 25
t² = 25/16 = (5/4)²
t = 5/4 = 1.25

It takes 1.25 seconds for the entire 25 ft drop.

8 0

3 years ago

The mean age when smokers first start is 13 years old with a population standard deviation of 2 years. A researcher thinks that

lakkis [162]

Answer:

Null hypothesis: $\mu = 13$

Alternative hypothesis: $\mu \neq 13$

$z=\frac{12.2-13}{\frac{2}{\sqrt{30}}}=-2.191$

a. Reject the null hypothesis

c. There is enough evidence to support the claim

Step-by-step explanation:

Data given and notation

$\bar X=12/2$ represent the sample mean

$s=20000$ represent the standard deviation for the sample

$\sigma =2$ represent the population standard deviation

$n=30$ sample size

$\mu_o =13$ represent the value that we want to test

$\alpha=0.05$ 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 to be tested

We need to conduct a hypothesis in order to determine if the smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems, the system of hypothesis would be:

Null hypothesis: $\mu = 13$

Alternative hypothesis: $\mu \neq 13$

Compute the test statistic

We know the population deviation, so for this case 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".

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

$z=\frac{12.2-13}{\frac{2}{\sqrt{30}}}=-2.191$

What do you conclude? Using the p-value approach

Since is a two tailed test the p value would be:

$p_v =2*P(Z$

Since the $p_v$ then the correct decision is:

a. Reject the null hypothesis

And the best conclusion is :

c. There is enough evidence to support the claim

6 0

3 years ago

A monument outside city hall has dimensions as shown below in the figure. If one gallon of paint can cover 213 ft^2, how many ga

rusak2 [61]

Answer:

sides

14 X 22 = 308 square foot there are four of these

308 X 4 = 1232 square foot.

triangles

A= 0.5 X b X h

0.5 X 14 X 10 = 70 square foot again there are four of these 70 X 4 = 280 square foot

1232 + 280 = 1512 square foot

1512/213 = 7.09859154

8 gallons of paint will need to be purchased.

3 0

3 years ago

You need 3/4 cup of yogurt for one smoothie. Which picture shows how many cups of yogurt you nor 3 smoothies?

ziro4ka [17]

Answer:

2.25, or 2 1/4.

Step-by-step explanation:

3/4 x 3 = 2.25

5 0

2 years ago

Read 2 more answers

Explain why any number that is divisible by 9 is also divisible by 3.

slamgirl [31]

Since 3 x 3 = 9, 9 is divisible by 3. So, 3 would be a factor of any number divisible by 9

6 0

2 years ago