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4 years ago

Write a proof. Given: AB * BE = CB * BD Prove: Triangle ABC ~ Triangle DBE

Mathematics

1 answer:

tester [92]4 years ago

7 0

Answer: Both triangles create a bisected angle between themselves.

Step-by-step explanation: There is a cross section where the angles are lined up to be the same or whatever.

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Solve the following inequality using the algebraic approach: 3 minus 2 x less-than-or-equal-to 5

Katyanochek1 [597]

Answer:

below

Step-by-step explanation:

that's the answer

8 0

3 years ago

What is the length of xy?

Sav [38]

Given:

$XR=x+8$

$RY=4x-10$

Since R is the midpoint of the line, we can set XR equal to RY and solve for x.

$RY=XR$

$4x-10=x+8$

$4x=x+18$

$3x=18$

$x=6$

Now we know what x is. We can plug in x to RY and XR and then add it all together to find XY. Let's find XR:

$XR=6+8$

$XR=14$

Let's find RY now:

$RY=4(6)-10$

$RY=24-10$

$RY=14$

Since we know that:

$XR+RY=XY$

We can plug in our answers:

$14+14=XY$

Final answer:

$XY=28$

8 0

3 years ago

Read 2 more answers

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

3 years ago

Please help with these three questions and thank you

Advocard [28]

1.A

2.D

3.B

Step-by-step explanation:

Have a nice day!

6 0

3 years ago

Read 2 more answers

The cafeteria at a summer camp gives each camper 2/3 cup of juice for breakfast. This morning, 50 campers had juice for breakfas

zimovet [89]

It would be 33.33 because you have no change 50 into a fraction and divide that by 2/3

5 0

3 years ago

Read 2 more answers