Answer:
1. The right triangles pass the AA similarity congruence theorem.
2. s/q
Step-by-step explanation:
They are similar since they pass the AA( Angle-Angle) similarity theorem.
Similar triangles have corresponding proportional sides so side z corresponds with side s and side x corresponds with q so we would represent that as
s/q
The original number would be 900
Algebra is number 3 - You have subtracted the measure of angle HKI from the equation.
Transitive property of equality is number 2 - Because both pairs of angles equal 180 degrees, you can set them equal to each other.
Definition of congruence is number 4 - The congruence symbol is in the equation, which tells you that the two angles are congruent.
Angles forming a linear pair sum to 180 degrees is number 1 - 180 degrees is in the equations given and the angles all form linear pairs.
Hope this helps!! :)
Answer:
The distance added to each dimension is 2 yards.
Step-by-step explanation:
The initial dimensions of the rectangular fence is 8 yards by 4 yards.
The initial area of the rectangular fence = area of a rectangle
area of a rectangle = length x width
So that,
The initial area of the fence = 8 x 4
= 32
The initial area of the fence is 32 square yards.
But, with the new dimensions, area = 60 square yards.
(4 + x) x (8 + x) = 60
+ 12x + 28 = 60
+ 12x - 32 = 0
(x + 14) = 0 or (x - 2) = 0
x = -14 or x =2
Thus, x = 2
The distance added to each dimension is 2 yards.
Answer:
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Step-by-step explanation:
750,000,000 times 10^5 can be expressed as 7.5 times 
7.55 times 10^13 is greater than 7.5 times 10^11.