Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe

It's known that

When two lines are parallel, their slopes are identical.

The slope between any two points can be calculated using the following formula:

We will calculate the slope for each case to find the solution to the problem.

Case A) Point

Determine the slope of BC

Insert the values into the formula:

Thus,

The equation is parallel to the line that goes through the points

Therefore,

the result for Part A) is

------>

Case B) Point

Calculate the slope of DE

Plug the values into the formula:

Thus,

The equation is parallel to the line that goes through the points

Therefore,

the result for Part B) is

------>

Case C) Point

Determine the slope of FG

Insert the values into the formula:

Thus,

Any linear equation with slope will be parallel to the line through the points

Case D) Point

Calculate the slope of HI

Substitute the values in the formula:

Thus,

The equation is parallel to the line through the points

Therefore,

the result for Part D) is

------>

Case E) Point

Determine the slope of JK

Insert the values into the formula:

Thus,

Any linear equation characterized by slope will be parallel to the line that runs through the points

Case F) Point

Find the slope of LM

Substitute the values in the formula:

Thus,

The equation is parallel to the line connecting the points

Therefore,

the result for Part F) is

------>

Answer:

Response: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

Sarah, Jose, and you all reside on the same street:

The distance between you and Jose is 5 blocks

The distance between Jose and Sarah is 2 blocks

Calculating the distance (b) between you and Sarah:

Since it is not specified if Sarah is closer to you or to Jose;

Thus;

Distance b from you to Sarah will be:

(The distance to Jose ± the distance to Sarah)

b = (5 ± 2)

b = (5 + 2) or (5 - 2)

b = 7 blocks or 3 blocks

Important details about isosceles triangle ABC:

• The median CD, which is drawn to the base AB, also acts as an altitude to that base in the isosceles triangle (CD⊥AB). This indicates that triangles ACD and BCD are congruent right triangles, each with hypotenuses AC and BC.
• In isosceles triangle ABC, the sides AB and BC are equal, meaning AC=BC.
• The base angles at AB are equal, m∠A=m∠B=30°.

1. Consider the right triangle ACD. The angle adjacent to side AD is 30°, which dictates that the hypotenuse AC is double the length of the opposite side CD relating to angle A.

AC=2CD.

2. Now, for right triangle BCD, the angle next to side BD is also 30°, so hypotenuse BC is twice the opposite leg CD linked to angle B.

BC=2CD.

3. To calculate the perimeters of triangles ACD, BCD, and ABC:

4. If the total of the perimeters of triangles ACD and BCD is 20 cm greater than the perimeter of triangle ABC, then

5. Given that AC=BC=2CD, the lengths of legs AC and BC of the isosceles triangles are 20 cm.

Answer: 20 cm.