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Mrrafil [7]
3 years ago
10

Let measure angle A equal 40. If angle B complement of angle A, and angle C is a supplemlement of angle B find these measures

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0
Two angles are complementary when they add up to 90 degrees<span> 
m</span>∠B = 90° - m∠A = 90° - 40° = 50°

Two angles are supplementary when they add up to 180 degrees 
m∠C = 180° - m∠B = 180° - 50° = 130°
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I attached an image. someone help me asap. i'm not the smartest person so i cont understand it :(
vampirchik [111]

Answer:

for the second column it is 12.5

for the third column it is 20%

for the fourth column it is 120%

for the fifth column it is 33%

for the sixth column it is 11.35

for the seventh column it is 900

for the 8th column it is 60%

for the final column it's 39

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Why does (-4 1/2)^2 = 20.25? Thank you please hurry!
AnnZ [28]

Answer:

See below.

Step-by-step explanation:

Squaring a number means to multiply the number by itself.

For example, 3^2 means 3 * 3.

8^2 means 8 * 8.

(-6)^2 means (-6) * (-6).

In each case above, you see that the number that is squared is multiplied by itself.

In this case, (-4.5)^2, squaring the number -4.5, means multiply the number -4.5 by the number -4.5

(-4.5)^2 = (-4.5) * (-4.5)

Now we need to actually multiply -4.5 by -4.5

When you multiply a negative number by a negative number, the result is positive, so the product of -4.5 and -4.5 is a positive number. To find that number, you multiply 4.5 by 4.5

4.5 * 4.5 = 20.25

Therefore, (-4.5)^2 = 20.25

4 0
3 years ago
720 pt in a hour converted to quarts in a min
Strike441 [17]

1 quart = 2 pints

720/2 = 360 quarts per hour

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3 0
3 years ago
In an article regarding interracial dating and marriage recently appeared in a newspaper. Of 1719 randomly selected adults, 311
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:

X₁: Number of Asians that would welcome a white person into their families.

X₂: Number of Asians that would welcome a Latino person into their families.

X₃: Number of Asians that would welcome a black person into their families.

Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251

Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.

Z_{1-\alpha /2}= Z_{0.975}= 1.965

1. 95% CI for Asians that would welcome a white person.

If 79% would welcome a white person, then the expected value is:

E(X)= n*p= 251*0.79= 198.29

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409

√V(X)= 6.45

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

198.29±1.965*6.45

[185.62;210.96]

With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.

2. 95% CI for Asians that would welcome a Latino person.

If 71% would welcome a Latino person, then the expected value is:

E(X)= n*p= 251*0.71= 178.21

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809

√V(X)= 7.19

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

178.21±1.965*7.19

[164.08; 192.34]

With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.

3. 95% CI for Asians that would welcome a Black person.

If 66% would welcome a Black person, then the expected value is:

E(X)= n*p= 251*0.66= 165.66

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244

√V(X)= 7.50

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

165.66±1.965*7.50

[150.92; 180.40]

With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.

I hope it helps!

5 0
3 years ago
The perimeter of a rectangle is 54 meters. One side is three meters less than four times the length of the other side. Find the
Elenna [48]

Answer:

6 and 21 meters long

Step-by-step explanation:

You make an equation from what you got (there are 2 widths and 2 lengths)

2(4w-3)+2w=54---->10w-6=54---> 10w=60 ----> w=6 ---> plug in the rest and you get 21 as the length.

or... make W+L=28 and guess and check!!! takes longer but works!

7 0
3 years ago
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