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Mekhanik [1.2K]
3 years ago
5

Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. A

t lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Interior Angles on the Same Side of the Transversal: The name is a description of the "location" of the these angles.

Step-by-step explanation:

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Their are 4 terms i believe.

Step-by-step explanation:

Because terms are separated by + and - signs.

Hope my answer has helped you.

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AleksAgata [21]

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

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slope(m) = \frac{1}{2}

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3 years ago
Last month Bill spent $6,000. How much did bill spend on taxes last month? (1) The total amount Bill spent on taxes was 70% of t
jarptica [38.1K]

Answer:

Bill spent $988 on taxes.

Step-by-step explanation:

First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:

$6,000*0.4=$2,400

Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.

Let's consider that:

x=taxes

y=groceries

With the information we can write the following:

x+y=2,400 (1)

x=0.7y (2)

You can replace 2 in 1:

0.7y+y=2,400

1.7y=2,400

y=2,400/1.7

y=1,412

Then, you can replace the value of y in 2:

x=0.7(1,412)

x=$988

According to this, Bill spent $988 on taxes.

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4 years ago
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