What is the simplified form of 114?<br> A. i<br> B. -1<br> C. 1<br> D. -1

amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

$\frac{x+23}{x+41} = 0.5$

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

$x+23=0.5(x+41)$

Now we multiply out the brackets and move the terms to different sides:

$x+23=0.5x+20.5$

$0.5x = -2.5$

$x = -5$

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0

3 years ago

Look at these numbers. 0.3,

timama [110]

0.3.......the 3 is in the tenths place
0.103....the 3 is in the thousandths place
0.13.....the 3 is in the hundredths place

0.3 is ur answer

8 0

3 years ago

Read 2 more answers

What is the area to a 2 3/4 inch square?

Vinvika [58]

Since every side of a square is the same length, and the formula to find the area is bh you would just do 2.75²

2.75×2.75=7.5625≈7.56

the answer is the area of the square is approximately 7.56u²

5 0

3 years ago

If possible help me in this. I need to find the two odd numbers...

Lelechka [254]

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

<h3>Answer: x+2</h3>

========================================================

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

<h3>Answer: x^2 + (x+2)^2 = 394</h3>

========================================================

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\$

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

<h3>Answer: Either 13, 15 or -15, -13</h3>

4 0

3 years ago

M = ______? Please give right answer and no foolish just for points.! I WILL GIVE BRAINLEIST AND A THANKS AND FOLLOW AND 5 STAR

vova2212 [387]

Y = mx + b

Where m is the slope and b is the y-intercept

As you can already see it passes through the origin so b (the y-intercept) is (x, 0)

And the slope were it’s rise/run so it goes up 2.5 units and to the right 1 unit so it’s 2.5/1 = 2.5

m = 2.5

8 0

3 years ago

Read 2 more answers

What is the simplified form of 114? A. i B. -1 C. 1 D. -1