Answer:
9/10
Step-by-step explanation:
3^4/5^4 × 15^4/10^4=x^4/y^4
81/625 × 50625/10000= x^4/y^4
multiply
4100625/6250000=x^4/y^4
break it down by dividing it by 5
820125/1250000
divide by 5
164025/250000
divide by 5
32805/50000
divide by 5
6561/10000 = x^4/y^4
4√6561/4√10000=x/y
9/10= x/y
Answer:
B. ASA (Angle-Side-Angle).
Step-by-step explanation:
We have been given a diagram and we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.
Upon looking at our diagram we can see that side length GH of △GHL is equal to side length KH of △KHJ.
We are also given that
.
We can see that
is vertical opposite angle of
as they are formed by the intersection of line segments GK and JL. Therefore,
, by vertical angles theorem.
We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.
The percent of the increase is

I is the increasing value
N is the new value
O is the original value
The price of the cooler is $28.50, then
O = 28.50
The selling price of the cooler is $40.76, then
N = 40.76
We will substitute them in the rule above to find I

Let us calculate it
I = 43.0175 %
Round it to the nearest percent
I = 43%
The answer is D
3x+x= 180°(straight angle)
4x= 180°
x= 180/4
x= 45°