Answer:
19 people
Step-by-step explanation:
To find how many people went to the mall, count each x
At 0 trips, there are 2 xs, so<u> 2</u> people had 0 trips to the mall
At 1 trip, there are 0 xs, so <u>0</u> people had 1 trip to the mall
At 2 trips, there are 10 xs, so <u>10 </u>people had 2 trips to the mall
At 3 trips, there are 7 xs, so <u>7</u> people had 3 trips to the mall
Add up all the xs
2+0+10+7=19
19 people in all
Answer:
54÷9 = 6 so for the second box is 6 hot dogs per person
54÷27= 2 third box is 2 hot dogs per person
54÷54= 1 fourth box is 1 hot dog per person
X = 2
y = 1
You can get this by replacing the y in the second equation with the 3x - 5 from the first. Then solve for x. Once you have that value, you can solve for y.
Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>
<u>polygons.</u>"
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
Because the two angles equal each other:
80=20x and solve for x
These are corresponding angles
