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3 years ago

Give the diagram below find the value of x

Mathematics

1 answer:

Aleks [24]3 years ago

5 0

Answer:

Well this is Same side interior angles which would mean that its supplementary or 180.

So we can just,

4x-2+17x+14=180

Combine like terms

21x+12=180

Perform inverse

21x=168

Divide/isolate

x=8

So the value of (x) is 8

Step-by-step explanation:

Well here’s a little tip that might help

So in order to identify interior/exterior angles you have to find the location. The two lines are whats separates the inner and the outter.

The Outter are outside the two parralel lines, their not in between. There are 4 exterior angles.

The inner are the 4 angles between the two parralel lines. There are 4 interior angles.

So there are 5 different ways you would usually hear them.

Alternate interior angle

Alternate exterior angle

Same side exterior (or better known as Converese of the same side exterior)

Same side interior (better known as the converse of the same side interior)

Corresponding

Alternate is basically different sides, but they gotta be only one angle choice, exterior or interior, if correct it makes this slash or back slash if you connect the points.

Same side is basically same side and they have to be the right type (exterior/ interior)

Corresponing has to be the same side also but they have to have.One interior and one exterior.

Corresponing angles are congruent (equal)

Alternate exterior/interior are congruent (equal)

Same side exterior/interior Are supplemenaty (they equal 180)

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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

Thepotemich [5.8K]

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

$P(X=x)=nC_r p^r q^{n-r}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^{14-12}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^2$

$P(x=12)=14C_{12}(0.50)^{14}$

$P(x=12)=\frac{14!}{12!2!}(0.50)^{14}$

$P(x=12)=\frac{14\times 13\times 12!}{12!2\times 1}(0.50)^{14}$

$P(x=12)=91\cdot (0.50)^{14}$

$P(x=12)=0.00555$

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

3 0

3 years ago

Identify the type of slope and then find the slope of the line.

Irina18 [472]

Answer:

-1/2, negative slope

Step-by-step explanation:

As per graph it is visible that the slope is negative, it goes down when x-value increases

Use two points to find the slope:

(-4, -1) and (0, -3)

Slope formula:

m = (y2 - y1)/(x2 - x1)

Value of the slope:

m = (-3 - (-1))/(0 - (-4)) = -2/4 = -1/2

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Answer:

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AnnZ [28]

Answer:

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Read 2 more answers

The value of 2.52 is 100. True False

Illusion [34]

Answer:

False

Step-by-step explanation:

Sorry if I’m wrong I tried my best

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3 years ago