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ella [17]
3 years ago
6

GIVEN: ab perpendicular to BC AND DC PERPENDICULAR TO BCAC = BDPROVE:AB =DC Proofs

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0

Answer with Step-by-step explanation:

We are given that AB is perpendicular to BC and DC perpendicular to BC.

AC=BD

We have to prove that AB=DC

In triangle ABC and triangle DCB

AC=BD  (Given)

\angle B=\angle C=90^{\circ}

BC=BC

Reason:Reflexive property

\triangle ABC\cong \triangle DCB

Reason:RHL postulate

AB\cong DC

Reason:CPCT

Therefore, AB=DC when two sides are congruent then the sides are equal.

Hence, proved.

Aleonysh [2.5K]3 years ago
5 0
Let's take a look at the triangles ABC and DCB

1. angles : B=C=90° because they are right triangles (AB perpendicular to BC and DC perpendicular to BC)

2. AC=BD (given)
3. BC is in common (the two triangles have it, you can say it like BC=BC)

So we proved that by SAS(side angle side), the triangles are congruent ABC= DCB

Since the triangles are congrueny, all their sides are equal so we can say that AB=DC
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Sorry I need help with these 3! Thank you to whoever takes the time to solve them!!!
mash [69]
1.)
Starts with 40:10, then cuz you have 80 buns, you need to x2, so it would be 20 cubes

2.)
I don’t know, sorry

3.)
4:2 and 60 in total
so 4+2 is 6 and 60/6 is 10
so it would be 40:20 so 20

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8 0
3 years ago
Factor the expression completely 40-5x
tatyana61 [14]

Answer:

5(8-x)

Step-by-step explanation:

Fact using the GCF (Greatest Common Factor) of 40 and 5

Factors of 5:

1,5

Factors of 40:

1,2,4,5,8,10,20,40

The greatest factor they both have is 5

Factor by distributing out a 5

40-5x

5(8-x)

7 0
3 years ago
Read 2 more answers
A || b what’s the value of X?
Anna007 [38]
<h3><u>Answer:</u></h3>
  • The value of x is 17.
<h3><u>Step-by-step explanation:</u></h3>

<u>We know that the lines are parallel because it is given that:</u>

  • a ∥ b

<u>Now, let's form an equation.</u>

  • => 2x + 5 + 8x + 5 = 180

<u>Let's solve!</u>

  • => 10x + 10 = 180
  • => 10x = 170
  • => x = 17

Hence, the value of x is 17.

BrainiacUser1357

4 0
2 years ago
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
frozen [14]

Note: Consider we need to find the vertices of the triangle A'B'C'

Given:

Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.

Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).

To find:

The vertices of the triangle A'B'C'.

Solution:

If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

(x,y)\to (y,-x)

Using this rule, we get

A(-3,6)\to A'(6,3)

B(2,9)\to B'(9,-2)

C(1,1)\to C'(1,-1)

Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).

7 0
3 years ago
The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area
LenaWriter [7]

if the diameter is 15, its radius is half that, or 7.5


\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=7.5\end{cases}\implies A=\pi 7.5^2\implies A=56.25\pi \\\\\\A\approx 176.71459\implies A = \stackrel{\textit{rounded up}}{177}

8 0
3 years ago
Read 2 more answers
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