Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Number of seats = 42
Seats per row x row = 1302
s x r = 1302
rows + 11 = seats per row
r + 11 = s
s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31
Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42
Check: 31 x 42 = 1302 :)
Answer:
Courtney is bringing 8 snacks
Step-by-step explanation:
Chelsea's snacks are represented as 2x.
2x means <u>2 · (a number)</u>
If Chelsea brought <u>16 snacks</u> and the <u>amount of snacks represented by 2x</u>, we have to figure out <u>what times 2 equals 16.</u>
In order to find out, we have to <u>divide</u>.
16 ÷ 8 = 2
This means 2 · 8 = 16
Since the amount of snacks Courtney brings is represented as <u>"x"</u>, she would have brought 8 snacks.
Hope this helped! :)
Answer:
A saw
Or a Comb. Each could be correct
Step-by-step explanation:
