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2 years ago

Solve similar triangles (advanced)

Mathematics

2 answers:

atroni [7]2 years ago

7 0

Answer:

x = 24

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ $\frac{AD}{AB}$ = $\frac{DE}{BC}$ = $\frac{AE}{AC}$

AD = x + 8 ; DE = 8

AB = x ; BC = 6

$\frac{x+8}{x}$ = $\frac{8}{6}$ ⇔ 8x = 6(x + 8) ⇒ x = 24

tatiyna2 years ago

7 0

Answer:

Step-by-step explanation:

6 = x

8 x + 8

8x = 6x + 48

8x - 6x = 48

2x = 48

x = 48/2

x = 24

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jasenka [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Can you help me solve systems of equations by elimination step by step 6x+y=15 -7x-2y=-10

Anna71 [15]

Answer: (4, -9)

Step-by-step explanation:

Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. I will be eliminating y

6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30

-7x - 2y = -10 → 1(-7x + 2y = -10) → -7x - 2y = -10

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Next, replace "x" with "4" into either equation and solve for y.

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y = -9

Check:

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

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-28 - -18 = -10

-28 + 18 = -10

-10 = -10 $\checkmark$

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3 years ago

Una bolsa contiene 4 canicas azules, 4 canicas rojas y 4 canicas verdes. Sacas aleatoriamente una canica y luego otra (sin reemp

sveticcg [70]

Answer:

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Step-by-step explanation:

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Y luego, no reemplaces la canica, y hay 11 canicas en total.

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Ahat [919]

Answer:

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Step-by-step explanation:

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x(y) = y(x)

I found this

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3 years ago

Sandra's scores on the first 4 tests were 87%, 92%, 76%,and 89%. What is the minimum score she needs to make on the fifth test s

sergejj [24]

Answer:

Sandra need to score at least 56% in her fifth test so that her average is 80%.

Step-by-step explanation:

Given:

First 4 test scores = 87%, 92%, 76%,89%

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Solution:

Let the minimum score she needs to make in fifth test be 'x'.

Total number of test = 5

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Subtracting both side by 344 we get;

$344+x-344=400-344\\\\x=56\%$

Hence Sandra need to score at least 56% in her fifth test so that her average is 80%.

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