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3 years ago

If <A and <B are supplementary angles and m<A = 4m<B, find m<A and m<B.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

4 0

Answer:

m∠A = 144°, m∠B = 36°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees.

Substitute 4(m∠B) for m∠A.

4(m∠B) + m∠B = 180

5(m∠B) = 180

m∠B = 36°

Substitute 36 for m∠B.

4(36) = m∠A

m∠A = 144°

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Solve the equation 2p/3-12=-2

-BARSIC- [3]

Hey there!

$\frac{2p}{3} - 12 = -2$

Firstly, we are going add $12$ on each of the sides that we're working with. like ↓

$p - 12 + 12 \\ \\ = -2 + 12$

This gives us $\frac{2}{3}p = 10$ (if you are wondering how we got the out come of $10$ it is because I added $-2 + 12 = 10$

Now multiply $\frac{3}{2}$ on each of your sides

$\frac{3}{2} ( \frac{2}{3}p) \\ \\ = \frac{3}{2} (10)$

Cancel the first set and you will find the value of $p$

$p = 15$

Good luck on your assignment and enjoy your day

~ $LoveYourselfFirst:)$

5 0

3 years ago

A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diamet

Paraphin [41]

Answer:

Step-by-step explanation:

Calculate z-score firstly

z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1

P( x greater than or equal to 2.75) = P(z greater than or equal to 1)

= 1 - p(z <1)

P(z<1) from table = 0.84134

1-p(z<1) = 0.15866 or 15.866%

4 0

3 years ago

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

3 years ago

Masja [62]

No hablo ni escribo inglés ponlo en español

3 0

2 years ago

Math question, please help me!!

riadik2000 [5.3K]

Answer:

Sorry I am a little confused about the answer

3 0

3 years ago