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postnew [5]
3 years ago
15

Find all values of x that make the triangles congruent. Explain your reasoning.

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

x = \frac{4}{5},5

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

\frac{AB}{BD}=\frac{AC}{CD}

\frac{5x}{3x+10}=\frac{5x-2}{4x+3}

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

5x(x - 5) - 4(x - 5) = 0

(5x - 4)(x - 5) = 0

x=\frac{4}{5},5

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Answer:

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6 0
3 years ago
Solve for y:y= [-7-6]<br><br>answers:<br> (a)-13 (b)13 (c)1 (d) -1 (e) none of these
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y= [-7-6]

y = -13

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8 0
3 years ago
I need help, please, I'm willing to give 24 points!
Margaret [11]
(1) 2 of one step equations

x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31

n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7

(2) 2 equations with fractions

3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3

1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4

(3) distributive property

3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18


4 0
3 years ago
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nordsb [41]

Answer: 21

Step-by-step explanation: Just plug in the numbers for x, and you get 21 when you plug that in.

8 0
3 years ago
Read 2 more answers
Using complete sentences, explain how to find the quotient of 8 2/3 ÷ 1 3/5. Make sure to include the quotient in your answer.​
White raven [17]

Answer:

6 over 1/24

Step-by-step explanation:

You can find the quotient of 9 2/3 divided by 1 3/5 by first making the two terms into improper fractions.

To make the improper fractions, you can turn 9 2/3 into 29/3 by multiiplying 9 by the denominator (bottom number in fractions)  and adding that to the numerator of 2 which gives 29.

1 3/5 can turn into 8/5.

Then you can divide using a simple trick of first organizing the data.

Currentlly it should be

29/3 divided by 8/5

Then you can flip the second fraction over.

29/3 divided by 5/8

Then you change the sign into multiplication.

29/3 times 5/8

Then you multiply like normal.

29 times 5 over 3 times 8

145 over 24

You can simplify now

6 over 1/24

Hope this helps!

6 0
2 years ago
Read 2 more answers
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