Why are these triangles similar?

Divide (-7x+x^2+15)/(-3+x) please this is the last question on the test!

Vesna [10]

Your answer should be -x+3

3 0

2 years ago

The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each

ziro4ka [17]

Answer:

the length of the first side of the triangle is $\frac{28}{3}\ in$

the length of the second side of the triangle is $\frac{37}{3}\ in$

the length of the third side of the triangle is $\frac{19}{3}\ in$

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

$x=y-3$

$y=x+3$ -----> equation A

$x=z+3$

$z=x-3$ -----> equation B

The perimeter of the triangle is equal to

$P=x+y+z$

$P=28\ in$

so

$28=x+y+z$ -----> equation C

substitute equation A and equation B in equation C

$28=x+(x+3)+(x-3)$

solve for x

$28=3x$

$x=\frac{28}{3}\ in$

Find the value of each side

the first side of a triangle is x

$x=\frac{28}{3}\ in$

the second side of a triangle is y

$y=\frac{28}{3}+3=\frac{37}{3}\ in$

the third side of a triangle is z

$z=\frac{28}{3}-3=\frac{19}{3}\ in$

7 0

3 years ago

Which of ordered pairs is not a function ?

Free_Kalibri [48]

$Answer:4)\\\\because\\(2;\ 3)\to x=2\ and\ y=3\\(2;\ 4)\to x=2\ and\ y=4\\\\for\ this\ same\ "x"\ y=3\ and\ y=4\\\\and\\\\(4;\ 5)\to x=4\ and\ y=5\\(4;\ 6)\to x=4\ and\ y=6\\\\for\ this\ same\ "x"\ y=5\ and\ y=6$

4 0

2 years ago

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of wat

weeeeeb [17]

Answer:12

Step-by-step explanation:

3 divided by 2 = 1.5

1.5x8=12

He used 12 cups of water

Have A Good Day

4 0

2 years ago

Find the distance between the points (3, –8) and (0, –9).

nadezda [96]

The formula for distance between two points is:

$\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}}$

In this case:

$x_{2} =0\\x_{1} =3\\y_{2} =-9\\y_{1} =-8$

^^^Plug these numbers into the formula for distance like so...

$\sqrt{(0-3)^{2} + (-9 - (-8))^{2}}$

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

First we have parentheses. Remember that when solving you must go from left to right

$\sqrt{(0-3)^{2} + (-9-(-8))^{2}}$

0 - 3 = -3

$\sqrt{(-3)^{2} + (-9-(-8))^{2}}$

-9 - (-8) = -1

$\sqrt{(-3)^{2} + (-1)^{2}}$

Next solve the exponent. Again, you must do this from left to right

$\sqrt{(-3)^{2} + (-1)^{2}}$

(-3)² = 9

$\sqrt{9 + (-1)^{2}}$

(-1)² = 1

$\sqrt{(9+1)}$

Now for the addition

$\sqrt{(9+1)}$

9 + 1 = 10

√10 <<<This can not be further simplified so this is your exact answer

Your approximate answer would be about 3.16

***Remember that the above answers are in terms of units

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0

2 years ago

Why are these triangles similar?​

Why are these triangles similar?