All categories

2 years ago

DEFG is an isosceles trapezoid with bases FE and GD. DE = 5x -2, and FG = 4x + 2. Find FG.

Mathematics

1 answer:

dalvyx [7]2 years ago

4 0

Answer:

FG is 18 units

Step-by-step explanation:

if the trapezoid is isosceles then DE = GF so we can create this equation:

4x + 2 = 5x - 2

4x = 5x - 4

-x = -4

x = 4

FG = 4(4)+2 which is 18

You might be interested in

2. Simplify. 7 + 8a – 2 + 9a

Alik [6]

5 + 17a is the answer you are looking for

8 0

2 years ago

Read 2 more answers

What methods do you know that can be used to solve a quadratic equation?

zhuklara [117]

Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

8 0

2 years ago

Read 2 more answers

Consider the points.

miskamm [114]

Answer:

6 units

Step-by-step explanation:

Use the distance formula, $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ .

Plug the x and y values from the given points into the distance formula:

$\sqrt{([-4]-2)^{2}+(5-5)^{2}}$ .

Solve the square root:

$\sqrt{36}$ = $\sqrt{6^{2}}$ = $6$

3 0

2 years ago

Graph each line using intercepts 1/4 x + 2y =2

Leno4ka [110]

The given equation is,

$\frac{1}{4}x+2y=2$

It can be rewritten in the form of y=mx+c, where c is the y intercept.

Hence,

$\begin{gathered} 2y=-\frac{1}{4}x+2 \\ y=\frac{-1}{4\times2}x+\frac{2}{2} \\ y=\frac{-1}{8}x+1 \end{gathered}$

Put different values for x and find value of y.

When x=0, y=1.

When x=1,

$y=\frac{-1}{8}+1=\frac{7}{8}$

The graph is,

5 0

3 months ago

10.2Which ratio is proportional to

hram777 [196]

Divide by 2. 10/2 divided by 2 = 5/1

5 0

2 years ago