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2 years ago

If the measure of angle 2 is 120 degrees, find the measure of angle 4.

Mathematics

1 answer:

Alla [95]2 years ago

8 0

Answer:

60 degrees

Step-by-step explanation:

1+<2=180

<1+120=180

<1=180-120

<1=60

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This is confusing (2x+y)^2−(x−2y)^2

Iteru [2.4K]

Answer:

${(2x + y)}^{2} - {(x - 2y)}^{2}$

$< {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} >$

$< {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} >$

${(2x)}^{2} + 2(2x)(y) + {(y)}^{2} - {(x)}^{2} - 2(x)(2y) + {(2y)}^{2}$

${4x}^{2} + 4xy + {y}^{2} - {x}^{2} - 4xy + {4y}^{2}$

${4x}^{2} - {x}^{2} + {4y}^{2} + {y}^{2}$

$= {3x}^{2} + {5y}^{2}$

5 0

2 years ago

Read 2 more answers

The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is dir

Sedaia [141]

Answer:

true

Step-by-step explanation:

did the test

5 0

3 years ago

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The v

BigorU [14]

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

$p_{1}=\frac{30}{120}=0.25$

$p_{2}=\frac{32}{160}=0.2$

Second, calculate standard deviation for each proportion:

$\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395$

$\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316$

Now, we calculate standard error for difference:

$SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}$

$SE=\sqrt{0.0395^{2}+0.0316^{2}}$

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

$p_{1}-p_{2}$ ± z-score.SE

$0.25-0.2$ ± $1.645(0.0505)$

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = $-0.0332$

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is $[-0.0332,0.1332]$ .

8 0

3 years ago

How do I know how to determine whether a relation is a function? What is a function?

scoundrel [369]

Answer:

all are functions

Step-by-step explanation:

a function is when each x has a y

a relation is when 1 x has more than 1 y which makes it invalid therefore not a function

5 0

2 years ago

Read 2 more answers

what is the volume and surface area of a box that is 9.5 inches tall, 3.8 nches wide,and 4.2 inches long.

monitta

Assuming this is a rectangular prism, here are the formulas for the volume and surface area.
V=l×w×h
SA=lw+lw+lh+lh+wh+wh
I didn't want to give the answer away, but I wanted to head you in the right direction. Hope this helped!

5 0

2 years ago