Question 2 Multiple Choice Worth 4 points) (02.04 HC)
C is the centroid of isosceles triangle ABD with vertex angle _ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent?
1. It is given that triangle ABD is isosceles, so segment AB is congruent to DB by the definition of isosceles triangle.
2. Triangles ABE and DBE share side BE, so it is congruent to itself by the reflexive property.
3. It is given that C is the centroid of triangle ABD, so segment BE is a perpendicular bisector.
4. E is a midpoint, creating congruent segments AE and DE, by the definition of midpoint.
5. Triangles ABE and DBE are congruent by the SSS Postulate.
There is an error in line 1; segments AB and BC are congruent.
There is an error in line 2; segment BE is not a shared side.
There is an error in line 3; segment BE should be a median.
The proof is correct.
Previous Question
math

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

he kicked it up? is this the answer ?

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9