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3 years ago

Need help with this problem its really complicated for me

Mathematics

1 answer:

ddd [48]3 years ago

8 0

You can write a proportion because the two triangles are similar

$\frac{x}{x-2}$ = $\frac{x + x + 5}{x + 1 + x - 2}$ (the second fraction is longer because I added the full lengths of the larger triangle) cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)

which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)

then 2x² - x = 2x² + 5x -4x - 10

then 2x² - x = 2x² + x - 10

then 2x² = 2x² + 2x - 10

subtract 2x² from both sides to get 0 = 2x - 10

add 10 to both sides to get 10 = 2x

divide both sides by 2 to get 5 = x

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I will rate you brainliest/ / / Tonicha is creating two triangular gardens in her backyard. The total area of each triangle vari

victus00 [196]

Answer:

The area of larger triangle is 48 ft².

Step-by-step explanation:

Assuming that the area of triangle formula is A = 1/2 × base × height. Then, you have to substitute the following values :

$area = \frac{1}{2} \times b \times h$

$let \: b = 12,h = 8$

$area = \frac{1}{2} \times 12 \times 8$

$area = \frac{1}{2} \times 96$

$area = 48 \: {feet}^{2}$

5 0

3 years ago

Read 2 more answers

keith made $306.00 for 18 hours of work at the same rate how many hours would he have to work to make $204.00

Mice21 [21]

306 / 18 = 17
So he's on $17 / hour

$204 / $17 = 12.
Therefore he'd make $204 in 12 hours.

4 0

3 years ago

Solve this pleaseeeee

Ivan

Answer:

-4 < n ≤ 5

Step-by-step explanation:

________________

7 0

3 years ago

Suppose

Yakvenalex [24]

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

8 0

3 years ago

If x=10, write an expression in terms of x for the number 5,364

LenKa [72]

Answer:

(5,354 + x)

536.4*x

Step-by-step explanation:

We know that x = 10.

Now we want to write an expression (in terms of x) for the number 5,364.

This could be really trivial, remember that x = 10.

Then: (x - 10) = 0

And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.

5,364 = 5,364 + (x - 10) = 5,364 + x - 10

5,364 = 5,354 + x

So (5,354 + x) is a expression for the number 5,364 in terms of x.

Of course, this is a really simple example, we could do a more complex case if we know that:

x/10 = 1

And the product between any real number and 1 is the same number.

Then:

(5,364)*(x/10) = 5,364

(5,364/10)*x = 5,364

536.4*x = 5,364

So we just found another expression for the number 5,364 in terms of x.

5 0

3 years ago