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erastovalidia [21]
3 years ago
10

Assume AJKL = APQR. If m P= 52°,m2Q = 48°, and mR= 80°, what is the measure of K?

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

measure of angle K is 48° or m∠K = 48°

Step-by-step explanation:

Given:

ΔJKL= ΔPQR

m∠P = 52°

m∠Q = 48°

m∠R = 80°

When 2 triangles are equal or congruent to each other then their corresponding angles are equal or congruent by congruence property.

Hence ,

m∠P = m∠J

m∠Q = m∠K

m∠R = m∠L

But m∠Q = 48° hence m∠K = 48°

Hence measure of angle K is 48°

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d. 46.19

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y=124.85(0.37)

to figure out the percent decrease, subtract the percent from 100. then divide by 100 to get a decimal. multiply that decimal by the original cost to get the answer.

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The school band is having a car wash to raise money to purchase new uniforms if they charge $4 per car,how many cars must band m
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7 0
3 years ago
What sampling method is used in the following examples. Is the method biased or not?
Romashka-Z-Leto [24]

Answers:

  • a) Stratified random sampling, or simply stratified sampling. Each group individually is known as a stratum. The plural is strata. The key here is that each stratum is sampled, though we don't pick everyone from every stratum. We randomly select from each unit to have them represent their unit. Think of it like house of representative members that go to congress. We have members from every state, but  Be sure not to mix this up with cluster sampling. Cluster sampling is where we break the population into groups or clusters, then we randomly select a few clusters in which every individual from those clusters is part of the sample.
  • b) Simple random sampling (SRS). This is exactly what it sounds like. We're randomly generating numbers to help determine who gets selected. Think of it like a lottery. A computer is useful to make sure this process is quick, efficient and unbiased as possible. Though numbers in a box or a hat work just as well.

For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

7 0
3 years ago
phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0
3 years ago
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