Triangle ABC was dilated and rotated to form triangle DEC.

Triangles A B C and D E C. Side A C is x and side B C is 8. Side E C is 5, side E C is 7.8, side C D is 6.

What is the length of side AC? (Figures not drawn to scale.)



IF YOUR CORRECT I WILL GIVE U THE CROWN

Answer:

x=5

y=-5.8

Step-by-step explanation:

4x-3x=1x

1x=5

x=5

8(5)-5y=11

40-5y=11

40-11=29

-5y=29

29/-5=-5.8

y=-5.8

Answer:

theta = 22.6 degrees

Step-by-step explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6

Answer:

Step-by-step explanation:

x/5=5/2

x=25/2

x=12.5

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

Any fraction that will reduce to -3/2 will be equivalent to -3/2.

Examples:

-6/4

-24/16

Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

hope this heped :)

Answer:

h = [tex]\frac{3v}{\pi r^{2} }[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]h = x^2+3x-5[/tex]

Step-by-step explanation:

Given

[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]

[tex]L = x + 5[/tex]

[tex]W = x + 3[/tex]

Required

Determine the height (h) of the prism

Volume is calculated as:

[tex]V =lwh[/tex]

Substitute values for V, l and w

[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]

Factorize the expression on the left-hand side

[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]

Further, factorize:

[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]

Divide both sides by (x+3)(x+5)

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]

[tex](x^2+3x-5)= h[/tex]

[tex]x^2+3x-5= h[/tex]

[tex]h = x^2+3x-5[/tex]

The height of the prism is [tex]x^2+3x-5[/tex]

Answer: 38

Step-by-step explanation:

Answer:4-2+3 Step-by-step explanation:8

Answer:

The second line cuts the x-axis at x = -5/2.

Step-by-step explanation:

The given line:

[tex]3x-2y=12[/tex]

Intersects a second line at x = 2.

This second line is perpendicular to the first.

And we want to find the second line's x-intercept.

First, rearrange the first line into slope intercept form:

[tex]-2y=-3x+12[/tex]

So:

[tex]\displaystyle y=\frac{3}{2}x-6[/tex]

We can see that the slope of the first line is 3/2.

It intersects the second line at x = 2.

So, the y-value of both the first and second line at x = 2 is the same.

Find the y-value by using the first line:

[tex]\displaystyle y=\frac{3}{2}(2)-6=3-6=-3[/tex]

So, a point on both lines is (2, -3).

Since the second line is perpendicular to the first, its slope it the first's negative reciprocal.

The negative reciprocal of 3/2 is -2/3.

So, the slope of the second line is -2/3.

And we determined that it passes through (2, -3).

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(-3)=-\frac{2}{3}(x-2)[/tex]

Distribute:

[tex]\displaystyle y+3=-\frac{2}{3}x+\frac{4}{3}[/tex]

So:

[tex]\displaystyle y=-\frac{2}{3}x-\frac{5}{3}[/tex]

The second line will cut the x-axis when y = 0.

So:

[tex]\displaystyle 0 =-\frac{2}{3}x-\frac{5}{3}[/tex]

Multiply both sides by -3:

[tex]0=2x+5[/tex]

Solve for x:

[tex]\displaystyle x=-\frac{5}{2}[/tex]

The second line cuts the x-axis at x = -5/2.

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

Answer:

square and what does the picture look like

Step-by-step explanation:

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

Ans=8

Step-by-step explanation:

...............................

Answer:

6edkruky4jeyenegnyejyehetngenegn

Answer:

Ang mga Babae sa Relihiyon at Pilosopiya sa Asya. Limang Ugnayan. emperador-mamamayan. ama-anak na lalaki.

Answer:

it already is in standard form

Step-by-step explanation:

Answer:

A=21

Step-by-step explanation:

a/7 + a/3 = 10

3a/21+7a/21=210/21

3a+7a=210

10a=210

a=21

Answer:

x = negative 3

Step-by-step explanation:

i just know lol

Answer:

Step-by-step explanation:

Answer: slope= 2, y-intercept= 3

Answer:

4

because it is the greatest power in the polynomial

Answer:

c

Step-by-step explanation:

mabye not but meh

Answer:

5

Step-by-step explanation:

Plz mark brainliest

Answer:

5

Step-by-step explanation:

Answer:

1 11/24

Step-by-step explanation:

30/48+40/48=70/48=1 11/24

Answer:

15/24 + 20/24 = 35/24 = 1 11/24

Step-by-step explanation:

because 6 and 8 lcm = 24 soooo

5x4 + 5x3 = 20 + 15 = 20/24 + 15/24

which is 35/24 which equals 1 11/24

hope it helps :>