In the figure, lines a and b are parallel. Which statements are true? Select each correct answer. Responses m∠2=m∠1 measure of angle 2 equals measure of angle 1 m∠3=m∠1 measure of angle 3 equals measure of angle 1 m∠1=75° measure of angle 1 equals 75 degrees m∠2=105° measure of angle 2 equals 105 degrees

Answer:

AB and CD are parallel lines.

hence answer is D

Good day mate

Answer:

X= 6/D

Step-by-step explanation:

i did the math

Answer:

Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em

this is only the explanation how to do it with you want the answer ask in the comment section

Step-by-step explanation:

Answer:

4. 1230

Step-by-step explanation:

A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.

The dimension of the rectangle is 10 by 6.5

The given parameters are:

Length, (L) = 2W - 3

Area = 65

The area of a rectangle is:

A = LW

So, we have:

LW = 65

Substitute L =2W - 3

(2W - 3)W = 65

Expand

2W^2 - 3W = 65

Rewrite as:

2W^2 - 3W - 65 = 0

Using a graphing calculator, we have:

W = 6.5

Substitute W = 6.5 in L =2W - 3

L =2 * 6.5 - 3

Evaluate

L =10

Hence, the dimension of the rectangle is 10 by 6.5

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Answer:

160 ounces

Step-by-step explanation:

Easy mental math.

16oz × 10 pounds = 160 oz

please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)

Answer:

I know this is probably late but the answer is 52 ft

Step-by-step explanation:

I did the Unit Test

Answer:

c=a2+b2=62+42≈7.2111

don't know if this is what

you are looking for but...

Answer:

-2/5 and 3/2

Step-by-step explanation:

f(x)=10x²-11x-6

0=10x²-11x-6

(5x+2)(2x-3)=0

5x+2=0, 2x-3=0

5x=-2, 2x=3

x=-2/5, x=3/2

Answer:

7.8 months but you can round it to 8 months

Step-by-step explanation:

x = 2 y = 7

Step-by-step explanation:

the explan at the pic

Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2

278 students are girls in this case.

Step-by-step explanation:

The correct answer is ''B. 5(2x + 5)''

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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Answer:

$90

Step-by-step explanation:

15 × 5 = 75

75 + 15 = 90

$90

Answer:

It would cost Rick $90, if he visted the Gym 15 times in a month.

Step-by-step explanation:

15 x 5 =75

75 + 15 =90

Answer:

73.50

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

his earnings increase in a linear way so we can express it as linear equation;

y = ax+ b ,

a is the slope in this case it is 7.5$ for every hour

b is the initial value, in this case 0

y = 7.5x

we will write 9 insted of x to find the amount of money when working for 9 hours;

y = 7.5 x 9 = 67.5

Answer:

m<QRS = 40

Step-by-step explanation:

180 - 140 = 40

The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.

A supplementary angle is a pair of angles that add up to 180 degrees.

That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.

The measure of angle QRS is calculated by applying the following formula as follows;

m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)

m∠QRS + 140 = 180

m∠QRS = 180 - 140

m∠QRS = 40⁰

Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.

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Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Answer:

B

Step-by-step explanation:

Plug in 8 for y in each equation to see if it's true

6+5(8)=46

6+40=46 ✔️

Answer:

impossible

Step-by-step explanation:

the formula for triangle sides is a^2 + b^2 = c^2

and these numbers dont equal that

Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

Answer:

p=6/5

Step-by-step explanation:

p=6/5 or 1.2 or (1 and 1/5)

Steps

Switch sides of equation

Divide both sides by 5

Simplify

Add 2 to both sides

18 + 9x = 49

with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.

18 + 9(6) [tex]\neq[/tex] 49

9 x 6 = 54

54 + 18 = 72

you could have enough money in 4 weeks

Answer:

Do you mean an MP3 player?

Step-by-step explanation:

The return on his $675,000 investment is 3.57%.

Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.

We need to find the what was the return on his $675,000 investment.

Return on investment or return on costs is a ratio between net income and investment.

Now, return=700,000-675,000=$25000

Return in percentage=25000/700000×100=3.571%

=3.57%

Therefore, the return on his $675,000 investment is 3.57%.

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