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3 years ago

I'd greatly appreciate the help-

Mathematics

1 answer:

dem82 [27]3 years ago

7 0

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E and <A

There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

You might be interested in

The diameter of a circle has endpoints A(1, 3) and B(4, 7), what is the

lana [24]

Answer:

The circumference of the circle is 5π

Step-by-step explanation:

First we need to calculate the diameter

for this we have to know the distance between A(1, 3) and B(4, 7)

X = Xb - Xa

X = 4 - 1

X = 3

Y = Yb - Ya

Y = 7 - 3

Y = 4

b - a = (3 , 4)

now that we have the distance of x and r we can calculate its distance using Pythagoras

h = hypotenuse

x = leg 1 = 3

y = leg 2 = 4

h² = x² + y²

we replace the known values

h² = (3)² + (4)²

h² = 9 + 16

h² = 25

h = √25

h = 5

The diameter of the circle is 5

Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:

c = circumference

d = diameter = 5

π = pi

c = π * d

we replace with the known values

c = 5 * π

c = 5π

The circumference of the circle is 5π

4 0

3 years ago

Help Pls Asap!! Dont really understand the question

PolarNik [594]

Answer: B (the lower one)

Step-by-step explanation:

First let's solve for y.

x + 2y = 4

2y = -x + 4

y = -1/2x + 2

It is B since the y intercept for that graph is 2.

8 0

2 years ago

Read 2 more answers

Bradford starting his first newspaper route. He will deliver 17 newspapers. A newspaper subscription cost each customer six doll

STatiana [176]

I have no idea so i cannot help you sorry

8 0

3 years ago

Read 2 more answers

Please help …………………….

Mars2501 [29]

9514 1404 393

Answer:

(-3, 3)

Step-by-step explanation:

The blanks are trying to lead you through the process of finding the point of interest.

The horizontal distance from T to S is 9 . (or -9, if you prefer)

The ratio you're trying to divide the line into is the ratio that goes in this blank:

Multiply the horizontal distance by 2/3 . (9×2/3 = 6)

Move 6 units left from point T.

The vertical distance from T to S is 6 .

Multiply the vertical distance by 2/3 . (6×2/3 = 4)

Move 4 units up from point T.

Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).

3 0

3 years ago

PLEASE HELP ILL GIVE BRAINLIEST!!

victus00 [196]

Answer:

73.12 cm

Step-by-step explanation:

The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)

P square = 3 s

=3 (16)

=48 cm

The perimeter of the semicircle is 1/2 of the circumference of a circle

P semicircle = 1/2 (pi *d)

=1/2 (pi* 16)

= 8 pi

= 8 (3.14)

=25.12 cm

The total perimeter is the sum of the square and the circle

P total = P square + P semicircle

=48+25.12

=73.12 cm

8 0

3 years ago