All categories

3 years ago

Given that lines AB and DE are parallel,determine how triangles ABC and EDC can be shown to be similar

Mathematics

2 answers:

Kobotan [32]3 years ago

5 0

Answer:

Step-by-step explanation:

Draw the two triangles so the two triangles share point C. It should look like a bowtie.

(1) AB is parallel to DE Given

(2) Angle A = Angle D If two parallel lines are cut by a transversal, alternate interior angles are equal.

Angle B = Angle E

(3) Angle BCA = Angle DCE Vertical angles are equal.

(4) Triangle BAC is similar to Triangle DEC If 3 angles in one triangle are equal to three angles in another triangle, the triangles are similar.

(5) AB/DE = AC/EC If two triangles are similar, corresponding sides are proportional.

Roman55 [17]3 years ago

3 0

Answer:

The transversals cutting through the parallel lines create angles that are congruent to one another. Angles 1`and 5 are alternate interior and are congruent. Angles 2 and 6 are alternate interior and are congruent. And of course if 2 of 3 angles in 2 triangles are congruent, then the 3rd angles have to be congruent as well. HOWEVER, we can see that the sides are NOT congruent, and we need at least one side to prove congruency. Since we have 3 congruent angles, we can only say they are similar.

Step-by-step explanation:

You might be interested in

Please help again like legit

stiks02 [169]

Answer: A. point C

Step-by-step explanation:

√56 = 7.483

5 0

3 years ago

I need help solving this right triangle, please!

Vesna [10]

We know the opposite and adjacent sides of angle B, so we can use the inverse tangent to solve for its value.
tan(B)^-1 = 3/4
B = 64.4 degrees

4 0

3 years ago

Read 2 more answers

Martin had M dollars initially. First, Martin spent 1/3 of his money. Then Martin spent 3/4 of what was left. Finally, Martin sp

Ilya [14]

Answer:

first he had M some unknown amount

then he had 2/3 M since he spent 1/3 M

then he spent 3/4 of the (2/3 M) so he had 1/4 of the ( 2/3M)

then he spent what was left $20 so $20 = 1/4 ( 2/3 M) now solve for M

and check by doing each step and figuring how much was spent and how much left.

another method 

let us consider the left amount be Y and total now of M dollar be X

then

Y = amount of money Nartin has left

Y = X - ( 1/3 ) ( X ) - ( 3/4 ) ( X - 1/3 X ) - 20

Y = X - 1/3 X - 3/4 X + 3/12 X - 20

Y = X - 4/12 X - 9/12 X + 3/12 X - 20

Y = X - 10/12 X - 20

Y = X - 5/6 X - 20

Y = ( 1 / 6 ) ( X ) - 20

hope it helped u buddy : )

5 0

4 years ago

How do you factor quadratics into binomials the question says

USPshnik [31]

X^2+9x+24=0 i believe, i’m only in 7th grade so

also, you factor the equation equal to zero and factor the left side

6 0

3 years ago

Read 2 more answers

A 180 pound person is hanging onto a 15-foot rope. Assuming the rope is uniform and that it weighs 2 pound per foot, set up (but

aleksklad [387]

Answer:

The answer is "g= 32 FPS"

Step-by-step explanation:

Given value:

$mass = 180\\\\length= 15 \\\\\lambda = \frac{ mass}{ length} = 2 \ \text{pound per foot} \\\\\bold{Formula}\\\\ \to w \int_{a}^{b} F \cdot d \ dx = \int_{0}^{15} (2x+180) \ g \ dx$

by solving the value we get the value of g that is equal to 32.

4 0

3 years ago