Answer:
segment EF over segment LM equals segment FG over segment MN
Step-by-step explanation:
The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.
The sequence of letters in the triangle name tells you the corresponding segments:
- EF corresponds to LM
- EG corresponds to LN
- FG corresponds to MN
Corresponding segments have the same ratio, so ...
EF/LM = FG/MN . . . . . . matches the first answer choice
EF/LM = EG/LN . . . . does not match the 3rd answer choice

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

Here we can convert the expression x+1/3 to this.

Rewrite the equation.

Simplify by multiplying both expressions.

<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.


The equation is true for both roots.
<u>Answer</u>

Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
D. independent -- Number of Months
dependent -- Total Cost
The dependent Variable depends on the independent variable so, as the number of months change, the total cost changes.
Answer:

Step-by-step explanation:
We know that the length is four times the width, so:

We also know the area, which is 324 m². The formula for area:

Insert the known values:

Solve for w. Simplify by removing parentheses:

Divide 4 from both sides to isolate the variable:

Find the square root of both sides:

The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:

Solve for l. Divide both sides by 9:

The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:

Insert values:

The perimeter is 90 m.