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aliina [53]
3 years ago
11

Sides that match up between two similar figures are called corresponding sides.

Mathematics
1 answer:
Naily [24]3 years ago
5 0

Answer:

A. Height of the Flag pole  

B. Longest.

Explanation:

Two similar triangles have corresponding sides with the same ratio.

A smaller triangle is showing the shadow of a person and the larger one is showing the shadow of a flag.

Now the person's shadow in the smaller triangle corresponding to the Height of the Flag pole.

The longest side of the large triangle corresponds with the Longest side of the smaller triangle.

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Finger [1]

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

AB=AC                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

\angle B\cong \angle C

m\angle B\cong m\angle C

m\angle B\cong 49^\circ

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

m\angle ADB=90^\circ

x^\circ=90^\circ

In triangle ABD,

m\angle DAB+m\angle ABD+m\angle ADB=180^\circ         [Angle sum property]

y^\circ+49^\circ+x^\circ=180^\circ

y^\circ+49^\circ+90^\circ=180^\circ

y^\circ=180^\circ-49^\circ-90^\circ

y^\circ=41^\circ

Therefore, the correct option is B.

3 0
3 years ago
The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each sid
seropon [69]

Answer: The answer is a decimal.

Step-by-step explanation:

7 0
3 years ago
Will give brainliest give the answer and steps
Inessa05 [86]
What variable??????????
8 0
2 years ago
The Arnold family arrived at the beach at
AlekseyPX

Answer:

13:30 military time, 1:30 normal time.

8 0
3 years ago
Read 2 more answers
michele is 52 inches tall. her father is 6 feet and 3 inches tall. exactly how many inches taller is michele
Studentka2010 [4]

Answer:

michelle is 23 inches shorter than her dad

Step-by-step explanation:

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3 years ago
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