Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
If you buy a 5 gallon cooler, it should be able to hold 20 quarts!!
i hope this helped
Answer:
a) Amount of pasta remaining ≤ p(12 - 8)
b) Amount of pasta remaining ≤ 4p
Step-by-step explanation:
Amount of pasta in one container = p
Let y represent the amount of pasta that is left.
Since the students eat 8 containers worth of pasta out of 12 pasta containers
But we weren't told that the students did not eat out of the 4 remaining pasta containers
y ≤ p(12 - 8)
where y = p(12 - 8) if the students did not touch the remaining 4 containers.
b) Using the distributive property
p(12 - 8) = 12p - 8p
y ≤ 12p - 8p
y ≤ 4p
Answer:
cos^-1(12/13) = x
Step-by-step explanation:
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The height of tower A is 1016 feet and tower B is 212 feet.
<u><em>Explanation</em></u>
Suppose , the height of tower B is
feet.
As the height of tower A is 802 feet more than tower B , so the height of tower B will be : 
Given that, the two towers have a combined height of 1226 feet.
So, the equation will be...

Thus, the height of tower B is 212 feet and height of tower A is (212+802) feet = 1016 feet.