Answer:
∠C ≅ ∠M or ∠B ≅ ∠L
Step-by-step explanation:
You are given an angle and its opposite side as being congruent. AAS requires two congruent angles and one side, so you need another set of congruent angles (one in each triangle). It does not matter which they are. The above-listed pairs are appropriate.*
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* Since the figure cannot be assumed to be drawn to scale, either of angles B or C could be declared congruent to either of angles L or M. However, it appears that angles B and L are opposite the longest side of the triangle, so it makes good sense to declare that pair congruent. The same congruence statement (ΔBCD≅ΔLMN) would result from declaring angles C and M congruent. So, either declaration will work (matches the last answer choice.)
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AAS requires two angles and a side. One side is already marked, so we do not need any more information about sides. (The second and third answer choices can be rejected as irrelevant.)
Answer:
n = 24
Step-by-step explanation:
(n + 18) and 2n are "complementary angles:" they add up to 90°.
Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.
Then 3n = 72. Dividing both sides by 3 results in n = 24.
n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.
I'd start with setting up the equations. Calling x the number of students in most popular country 1, and y in country 2.
x + y = 44740
x - y = 5672
now solve for x1 and x2. You can subtract second from first:
0 + 2y = 39068
y = 19534
so
x = 5672 + 19534 = 25206
Add a sentence to answer it in words.
Answer:
Step-by-step explanation:
Accessories: x
Bike: 4x
Total1: 5x
Total2: 140 dollars.
x + 4x = 140 dollars
5x = 140
x = 28
Accessories: 28
Bike: 112
Answer:
w = sa
Step-by-step explanation:
Given
s = 
( multiply both sides by a to clear the fraction )
sa = w
