HELP PLS THIS IS HARD

Sloan [31]

The general equation of a line is y = mx+b. The line is horizontal and the slope (m) of a horizontal line is 0. So y = 0x + b = b. Since the y intercept (where it crosses the y axis) is -1 (or b = -1) then you have the equation y = -1.
Answer: y = -1.

4 0

4 years ago

Circle the number that correctly completes the statement. A pair of shoes is on sale for 45% off the original price. The origina

Genrish500 [490]

Answer: $20.9

Step-by-step explanation:

Original price= $38

Discount= 45% of 38

=45/100 × 38

= $17.1

Sales price= Original price - discount= 38-17.1 =$20.9

7 0

3 years ago

25,-9,18,1 ,-7,-20,10,14,-4,0,12,-14 out the following integers from least to greatest

Trava [24]

Answer:

-20, -14, -9, -7, -4, 0, 1, 10, 12, 14, 18, 25

Step-by-step explanation:

7 0

4 years ago

10 students are competing in a dance competition. How many was can you award first, second, and third place?

weqwewe [10]

Given:

Total number of students = 10

To find:

How many was can you award first, second, and third place?

Solution:

Total number of students is 10. So, the total possible ways for the first award is 10.

We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.

Similarly, the total possible ways for the third award is 8.

Now, the total number of ways to award first, second, and third place is:

$10\times 9\times 8=720$

Therefore, the total number of ways to award first, second, and third place is 720.

4 0

3 years ago

In each diagram below, determine whether the triangles are congruent, similar, but not congruent, or not similar. If you claim t

Nadya [2.5K]

Part a

Angle ABC = angle CDA (given by the angle markers)

Angle BAC = angle DCA (alternate interior angles)

Segment AC = segment AC (reflexive property)

Through AAS (angle angle side) we can prove the two triangles are congruent. We have a pair of congruent angles, and we have a pair of congruent sides that are not between the previously mentioned angles.

If two triangles are congruent, they are always similar as well (scale factor = 1).

The same cannot be said the other way around. Not all similar triangles are congruent.

<h3>Answer: Congruent</h3>

======================================================

Part b

Angle FGH = angle JIH (both shown to be 50 degrees)

Angle FHG = angle JHI (vertical angles)

We have enough information to prove the triangles to be similar triangles. This is through the AA (angle angle) similarity rule. Since FG and JI are different lengths, this means the triangles are not congruent.

<h3>Answer: Similar but not congruent</h3>

======================================================

Part c

For each right triangle shown, divide the longer leg over the shorter leg

larger triangle: (long leg)/(short leg) = 6/3 = 2

smaller triangle: (long leg)/(short leg) = 3/2 = 1.5

The two results are different, so the sides are not in proportion to one another, therefore the triangles are not similar.

Any triangles that are not similar will also never be congruent.

<h3>Answer: Not similar</h3>

======================================================

Part d

Use the pythagorean theorem to find that PQ = 5 and KL = 12

We have two triangles with corresponding sides that are the same length

So we use the SSS (side side side) triangle congruence theorem to prove the triangles congruent. The triangles are also similar triangles (scale factor = 1)

<h3>Answer: Congruent</h3>

======================================================

<h3>Summary of the answers:</h3><h3>a. Congruent</h3><h3>b. Similar but not congruent</h3><h3>c. Not similar</h3><h3>d. Congruent </h3>

4 0

3 years ago