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shtirl [24]
3 years ago
7

Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

x= 80^o

Step-by-step explanation:

Given

\angle Z = 36^o

\angle WYZ = 100^o

Required

Find x

\angle WYZ and x are on a straight line.

So:

\angle WYZ + x= 180^o

Make x the subject

x= 180^o -\angle WYZ

Substitute known value

x= 180^o -100^o

x= 80^o

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frosja888 [35]

The answer would be C

5 0
3 years ago
Read 2 more answers
Fine the value of x in the triangle. Then classify the triangle as acute, right,
Trava [24]

Answer:

x = 88

Step-by-step explanation:

The sum of the angles in a triangle add to 180

47+45 +x = 180

Combine like terms

92+x = 180

Subtract 92 from each side

92+x-92= 180-92

x =88

7 0
3 years ago
The cost of renting ice skates is $4 plus $3.50 for each hour that the ice skates are
Elis [28]

Answer: D)3.5h+4

Step-by-step explanation:

Let h denotes the number of hours that the ice skates are  rented.

Since, The cost of renting ice skates is $4 plus $3.50 for each hour that the ice skates are  rented.

So , the total cost for ice-skating = $4 + $3.50 x (number of hours that the ice skates are  rented.)

= 4+3.50 x ( h) [as expression]

Hence, the expression can be used to find the cost in dollars of renting ice skates for h hours :-

3.5h+4

5 0
3 years ago
Fill in the blanks.
Anna [14]

Answer:

In a normal distribution, 50 percent of the data are above the mean, and 50 percent of the data are below the mean. Similarly, 68 percent of of all data points are within 1 standard deviation of the mean, 95 percent of all data points are within 2 standard deviations of the mean, and 99.7 percent are within 3 standard deviations of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Also:

The normal distribution is symmetric, which means that 50% of the data is above the mean and 50% is below.

Then:

In a normal distribution, 50 percent of the data are above the mean, and 50 percent of the data are below the mean. Similarly, 68 percent of of all data points are within 1 standard deviation of the mean, 95 percent of all data points are within 2 standard deviations of the mean, and 99.7 percent are within 3 standard deviations of the mean.

4 0
2 years ago
Your ship has steamed 1651 miles at 20 knots using 580 tons of fuel oil. The distance remaining to your next port is 1790 miles.
oee [108]

The 680 tons of fuel needed to cover the next 1790 miles distance.

According to the statement

We have given that the ship covered a 1651 miles distance at 20 knots by a 580 tons of fuel oil.

And distance remaining to next port is 1790 miles and speed increases to 25 knots.

And we have to find that how much fuel used to reach that port.

So, Distance covered = 1651 mile

fuel used = 580 tons

distance covered with 1 tons fuel = 1651/580

distance covered with 1 tons fuel = 2.85 mile at a speed of 20 knots.

so, The fuel consumption for 1790 mile is = 1790/2.85

The fuel consumption for 1790 mile is = 628 tons of fuel needed.

So, The 680 tons of fuel needed to cover the next 1790 miles distance.

Learn more about Distance here brainly.com/question/1872885

#SPJ4

3 0
2 years ago
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