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2 years ago

Circle D circumscribes ABC and ABE. Which statements about the triangles are true?

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

The true statements about these triangles are: B. I and II.

<h3>How to identify the true statements?</h3>

Based on the diagram (see attachment), we can logically deduce the following points in accordance with circle theorem:

The tangents drawn from a point out side the circle are the same (equal).

The perpendicular bisectors of triangle ABC would have an intersection at the same point (center D) as those of triangle ABE.

The distance from point C to point D is the same as the distance from point D to point E i.e CD = DE since both are radii of the circle.

In conclusion, we can logically deduce that the true statements about these triangles are I and II only.

Read more on perpendicular bisectors here: brainly.com/question/16965212

#SPJ1

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The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square i

77julia77 [94]

The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?

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3 years ago

Given b(x)= (-3,7), state what the coordinates of this point will be of the following transformations are effected: 2b(x)

Dennis_Churaev [7]

The point translated up 7 and left 3. This will cause the point to go from (-3,7) to (-6,14)

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3 years ago

What is an irrational number between 7.7 and 7.9 explain why it is irrational. And include the decimal approximation of the irra

MissTica

NightowlIt can be proven that between any two real numbers there exists a rational number. Therefore there exists a rational number r such that
7.7+2–√<r<7.9+2–√By calculator we can find a rational number r that satisfies these condition, I choose 9.2. Now subtract square root 2.7.7<9.2−2–√<7.9

so the answer is between 7.7 and 7.9
rational number : 7.8
irrational number : 9.2 - √2

5 0

3 years ago

Read 2 more answers

Peter saves $167 a month. Peter saves $37 less each month than Bill. How much will Bill save in 2 years?

Vlad [161]

Answer:

Hello! Your answer should be $2448.

Step-by-step explanation:

First, we should add 37 to 167 to find out how much money Bill makes in one month. Once we find that to be 204, we must multiply that by however many months he will be saving up for (24 months = 2 years). This will give us the expression 204 x 28, which equals 2448.

So, Bill will save $2448 in 2 years. Hope this helps!

3 0

3 years ago

Please Help ! Will give brainliest!

sveta [45]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

3 0

3 years ago