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3 years ago

Solve for x. x + 14 5x - 74 x = [?]

Mathematics

2 answers:

kotegsom [21]3 years ago

7 0

Answer:

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

otez555 [7]3 years ago

4 0

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$

x + 14 = 5x - 74 (corresponding angles are equal to each other)

$x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x$

You might be interested in

20 copies of the school yearbook together weigh 50 lb what is the weight of each book

dedylja [7]

Answer:

2.5 pounds per book

Step-by-step explanation:

Set up a proportion

20 copies / 50 pounds = 1 copy / x pounds

Cross multiply

20x = 50

Divide both sides by 20

x = 2.5 pounds

I hope this helped and please mark me as brainliest!

6 0

2 years ago

Of the four choices given, which two, when written as a system, have a solution of (-4,5)?

Svetach [21]

Answer:

both choices with 2x+y = -3

Step-by-step explanation:

to have the solution (-4, 5), that point must be on both equations/functions, meaning it must be on either one.

in other words, if the point is not on at least one of the functions, it cannot be a solution for that system.

the given function

2x + y = -3

looks like for the point (-4, 5)

2×-4 + 5 = -3

-8 + 5 = -3

-3 = -3

correct.

but

-2x + y = -3

looks like for (-4, 5)

-2×-4 + 5 = -3

8 + 5 = -3

13 = -3

wrong. the point is not on this function.

as we can therefore rule out 2 of the answer options, the other 2 most be correct.

4 0

3 years ago

Historical data indicates that only 20% of cable customers are willing to switch companies. If a binomial process is assumed, th

Natasha_Volkova [10]

Answer:

a. The probability is 0.735

b. The probability is 0.6296

c. The probability is 0

Step-by-step explanation:

If we assume a binomial process, the probability that x customer are willing to switch companies is:

$P(x)=nCx*p^{x}*(1-p)^{n-x}$

nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

Where n are the 20 cable customers and p is the probability 0.2 that the cable customer are willing to switch companies.

Then, P(x) is:

$P(x)=20Cx*0.2^{x}*(1-0.2)^{20-x}$

The probability that between 2 and 5 (inclusive) customers are willing to switch companies is:

P(2≤x≤5) = P(2) + P(3) + P(4) + P(5)

Where P(2), P(3), P(4) and P(5) are equal to:

$P(2)=20C2*0.2^{2}*(1-0.2)^{20-2}=0.1369$

$P(3)=20C3*0.2^{3}*(1-0.2)^{20-3}=0.2054$

$P(4)=20C4*0.2^{4}*(1-0.2)^{20-4}=0.2182$

$P(5)=20C5*0.2^{5}*(1-0.2)^{20-5}=0.1745$

So, P(2≤x≤5) is:

P(2≤x≤5) = 0.1369 + 0.2054 + 0.2182 + 0.1745 = 0.735

At the same way, the probability that less than 5 customers are willing to switch is:

P(x<5)=P(0)+P(1)+P(2)+P(3)+P(4)

P(x<5)=0.6296

Finally, the probability that more than 16 customers are willing to switch is:

P(x>16)=P(17)+P(18)+P(19)+P(20)

P(x>16)=0

7 0

4 years ago

Dilate triangle ABC using a scale factor of 1/5. what are the corresponding coordinates for vertices A', B', and C'?

Natasha_Volkova [10]

Answer:

A' is 1, -3/5

B' is -1, -3/5

C' id -1/5, 1

3 0

3 years ago

630 is divisble by which single digit numbers

Colt1911 [192]

It is divisible by the numbers: 1,2,3,4,5,6,7, and 9

3 0

3 years ago