Ask question

Ask question

All categories

3 years ago

9

A classmate said that line AB and line DC are parallel based on the diagram below. Explain your classmates error.

1 answer:

MatroZZZ [7]3 years ago

3 0

<em><u>Explanation</u></em>:

The only information we have to go on is that ∠AWZ ≅ ∠XYC. However, these are not specific kinds of angles that can prove lines parallel. If we had a pair of alternate interior angles, such as ∠AWZ and ∠WZY, we could say that the lines are parallel. However, we do not have enough information.

You might be interested in

At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th

riadik2000 [5.3K]

Answer:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

Step-by-step explanation:

Incomplete question:

<em></em> $\angle CBD = 53^\circ$ <em></em>

<em></em> $\angle CAB = 35^\circ$ <em></em>

<em></em> $AB = 75$ <em></em>

<em></em>

<em>See attachment for complete question</em>

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

4 0

3 years ago

Read 2 more answers

Probability question

Rainbow [258]

8 students made 4 mistakes or more

3 0

3 years ago

05.06)Which of the following best describes interval C on the graph shown?

Korolek [52]

Linear decreasing

I haven't learned this is class yet, but I had a bf that taught me this

8 0

3 years ago

Read 2 more answers

Jenny has a bag of jelly beans. Of all the jelly beans Jenny has there are a total of 20. If 13 of those jelly beans are green,

Sindrei [870]

Answer:

65% are green

Step-by-step explanation:

13 is 65% of 20

8 0

2 years ago

If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x). please help :C

Luba_88 [7]

(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x-2 + 2x+1

(f+g)(x) = (3x+2x) + (-2+1)

(f+g)(x) = 5x - 1

3 0

3 years ago

Read 2 more answers