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Romashka [77]
3 years ago
13

Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle

S Q P is x degrees. What is the value of x? [Art not to scale.]
x = 23
x = 35
x = 58
x = 93

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

x = 93

Step-by-step explanation:

cuz it is

Nina [5.8K]3 years ago
4 0

Answer:

x = 93

Step-by-step explanation:

Given

<QSR = 35

<SRQ = 58

<SQP = x

Required

Find x

To find the value of x, a triangle needs to be drawn (See attachment).

From the attachment;

<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)

<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)

Substitute <QSR = 35 and <SRQ = 58 in equation 2

<SQR + 35 + 58 = 180

<SQR + 93 = 180

Subtract 93 from both sides

<SQR + 93 - 93 = 180 - 93

<SQR = 87

SUbstitute 87 for <SQR in Equation 1

<SQP + 87 = 180

Subtract 87 from both sides

<SQP + 87 - 87 = 180 - 87

<SQP = 93

Recall that <SQP = x

So, x = 93

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A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone
monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

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Step-by-step explanation:

We have to find

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Using the z statistic

Here

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Now

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Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

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3 years ago
Can someone help me with this math homework please!
andrew11 [14]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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