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3 years ago

Line l is parallel to line e in the figure below.

Mathematics

2 answers:

NARA [144]3 years ago

7 0

2 4 and 5 or B D E

I just took the quiz on edge

galben [10]3 years ago

6 0

Answer:

2 Vertical angles prove that Angle 2 is congruent to angle 5

4 The triangles are similar because alternate interior angles are congruent.

5 In the similar triangles, Angle 3 and Angle 6 are corresponding angles.

Step-by-step explanation:

The picture of the question in the attached figure

Verify each statement

1 Vertical angles prove that Angle 1 is congruent to angle 4.

we know that

$m\angle 1=m\angle 4$ ----> by alternate interior angles

therefore

The statement is false

2 Vertical angles prove that Angle 2 is congruent to angle 5

we know that

Vertical Angles, are the angles opposite each other when two lines cross.

They always are equal

In this problem

$m\angle 2=m\angle 5$ ----> by vertical angles

therefore

The statement is true

3 The triangles are similar because corresponding sides are congruent

we know that

In this problem, the corresponding angles are congruent, hence the corresponding sides must be proportional

The triangles are similar, but the corresponding sides are not congruent

therefore

The statement is false

4 The triangles are similar because alternate interior angles are congruent.

The statement is true

The triangles are similar, because the corresponding angles are congruent (one angle is congruent by vertical angles and the other two by alternate interior angles)

5 In the similar triangles, Angle 3 and Angle 6 are corresponding angles

The statement is true

In this problem

The corresponding angles are

∠3 and ∠6

∠1 and ∠4

∠2 and ∠5

6 In the similar triangles, Angle 3 and Angle 4 are corresponding angles

The statement is false

Because

The corresponding angles are

∠3 and ∠6

∠1 and ∠4

∠2 and ∠5

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Find x Need gelppppppppppp

igor_vitrenko [27]

Answer:

The Value of x is 10.

Step-by-step explanation:

Consider ABCD is a Parallelogram where

∠BCA = 43°

∠CBA = 98°

∠ACD = (2x+9)

To Find:

x = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

In ΔABC

$\angle ABC+\angle BCA+\angle CAB=180\\\\98+43+\angle CAB=180\\\therefore m\angle CAB =180-141=39\°$

Now CD || BA .......opposite sides of Parallelogram is parallel

$\angle CAB=\angle ACD$ .........Alternate Angles are equal

Substituting the values we get

$39=2x+19\\2x=20\\\\\therefore x=\dfrac{20}{2}=10\\\\\therefore x=10$

The Value of x is 10.

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2 years ago

Question:

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2 years ago

Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

yaroslaw [1]

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ $\frac{AB}{DE}=\frac{4}{2}=2$

∵ BC = 6 units

∵ EF = 3 units

∴ $\frac{BC}{EF}=\frac{6}{3}=2$

∵ CA = 2 units

∵ FD = 1 units

∴ $\frac{CA}{FD}=\frac{2}{1}=2$

∴ $\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2$

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

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2 years ago

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3 years ago

Subract 5 5/21 from 13 1/7

Sladkaya [172]

Answer:

The answer is 166/21, or 7 19/21

Step-by-step explanation:

First, you would set up the equation, which is:

13 1/7 - 5 5/21

Next, you would turn them into an improper fraction, which is:

92/7 - 110/21

Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:

276/21 - 110/21

Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.

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3 years ago

Read 2 more answers