Answer:
1.75
Step-by-step explanation:
Let the number to be increased be x
If x is to be increased by 75% then the result after the increase T may be expressed as
T = x + 75% * x
T = x + 0.75x
T = 1.75x
As such when x is increased by 75%, the result is the product of x and 1.75 (the multiplier).
Answer: a) ∠I = ∠L
<u>Step-by-step explanation:</u>
Since we are trying to prove Similarity, we can use Angle-Angle (AA) Similarity Theorem which states that if two angles are congruent, then the triangles are similar.
We can also use Side-Angle-Side Similarity Theorem which states that if the sides are PROPORTIONAL to each other (not equal) and the included angle is congruent then the triangles are similar.
G H I
J K L
Given: ∠H = ∠K
a) ∠I = ∠L
This can be used to prove ΔGHI ≅ ΔJKL by Angle-Angle (AA) Similarity Theorem
b) GI = JL and HI = KL
This can be used to prove ΔGHI ≡ ΔJKL by Side-Angle-Side (SAS) Congruency Theorem, however it was stated that there was a dilation so we know that the sides will not be congruent. We are looking for similarity so those sides would need to be proportional to each other (not equal).
c) ∠H = ∠J
If you look at the order of the letters, H and J are not in the same position so we cannot use this to prove either similarity or congruency.
d) GH = JK
This only gives us one side and one <em>given</em> angle which is not enough information to prove either similarity or congruency.
<u>Answer:</u>
<h2><em>
17,5</em></h2>
<u>Step-by-step explanation:</u>
24-11=13
13/2=6,5
11+6.5=17,5