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g100num [7]
3 years ago
15

When constructing parallel lines, how can you be sure the lines you constructed are parallel?

Mathematics
2 answers:
kifflom [539]3 years ago
7 0

Answer:

Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Check the distance along the lines at several places with a compass to ensure they are the same length.

rjkz [21]3 years ago
5 0

Answer:

Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Check the distance along the lines at several places with a compass to ensure they are the same length.

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Name the angles that are complements to SWT
zlopas [31]
Two angles are said to be complementary, if the sum of the two angles is 90 degrees.

Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.

From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.

Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.

Therefore, the complementary angles to angle SWT are angle USP and angle TSV.
7 0
3 years ago
Read 2 more answers
Triangle ABC has angle measures as shown below. Using the information in the
iren [92.7K]
35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180 ( add the like terms and use distributive property)
93 + 3x = 180
-93 -93
3x = 87
÷3 ÷3
x = 29
( the sum of all triangle angles is 180)
4 0
2 years ago
Read 2 more answers
Work out the gradient of the line joining the points (2, 3) and (5,7)
Debora [2.8K]

Answer:

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

Step-by-step explanation:

The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (m_{PQ}), that is:

m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}} (1)

If we know that P(x,y) = (2,3) and Q(x,y) = (5,7), then the gradient of the line is:

m_{PQ} = \frac{7-3}{5-2}

m_{PQ} = \frac{4}{3}

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

4 0
2 years ago
A car used 5 2/3 gallons of fuel on a 3 hour trip. How many gallons were used each hour?
mr_godi [17]

Answer:

2. 1 8/9 gallons

Step-by-step explanation:

5 2/3 divided by 3

5.66666667/3 = 1.88888889

.88888889 = 8/9

1 + 8/9 = 1 8/9

5 0
2 years ago
Select the action you would use to solve x-3= 12. Then select the property that justifies that action.
Akimi4 [234]

Answer:

a

Step-by-step explanation:

you would add three to both sides because you are subtracting on the left side, so you would use inverse operations

6 0
3 years ago
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