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Ivahew [28]
3 years ago
10

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the

appropriate geometric figures. (10 points)
WILL GIVE BRAINLIEST IF CORRECT

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

in steps

Step-by-step explanation:

DE // BC

m∠ADE = m∠ABC   and m∠AED = m∠ACB

∴ ΔADE similar to ΔABC

AB/AD = AC/AE

(AD + DB) / AD = (AE + EC) / AE

AD/AD + DB/AD = AE/AE + EC/AE

1 + DB/AD = 1 + EC/AE

DB/AD = EC/AE    (AD/DB = AE/EC)

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How do I find the restrictions on x if there are any? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%20-%201%7D%20%20%3
Natali5045456 [20]

We have the expression:

\frac{1}{x - 1}=\frac{5}{x - 10}

When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.

That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.

If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).

Expression:

\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}

Answer: There is no restriction for x in the expression.

6 0
1 year ago
Find the solution of this system of equations. Separate the x- and y- values with a comma. x-2y=-24 and x-y=4
defon
X - 2y = -24
x - y = 4

Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y  

Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
-24 + y = 4
Add 24 to both sides to isolate y.
y = 28

Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32

The solution is (32, 28).
6 0
3 years ago
How to get 813 with exponents parentheses in three different operations
LenKa [72]

Answer:

813 = 800 + 10 + 3 = (8 \times 10^{2} ) + ( 1\times 10^1 ) + ( 3 \times 10^0 )  

Step-by-step explanation:

i) 813 = 800 + 10 + 3 = (8 \times 10^{2} ) + ( 1\times 10^1 ) + ( 3 \times 10^0 )  

4 0
2 years ago
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Answer:

A

Step-by-step explanation:

5 0
2 years ago
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Which word has almost the same meaning as the word drawbacks? 1st person to answer get brainlyest
iogann1982 [59]

Answer:

Step-by-step explanation:

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