Step-by-step Answer:
AN is height, so A is perpendicular to BC. (See image attached).
BN = 18
AN = 24
AC = 40
All as labeled.
ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30
ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32
=>
BC = BN + NC = 18 + 32 = 50
Answer:
What is the length of CD? (6 units)
What is the length of C’D’?(4 units)
What is the measure of B? (90 degrees)
What is the measure of B’? (90 degrees)
What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’? (2/3)
Step-by-step explanation:
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A rhombus diagonals form right angles. The diagonals also cut in half the angles
use cosine: cos38 = 
a = 20cos38
a=15.8
Step-by-step explanation:
s is inversely proportional to t
If s= 0.6 , t= 4
s=k/t
0.6= k/4
k=2.4
If s=12, then
t=k/s
t=2.4/12
t=0.05
We will use tangent here as we are finding the opposite with the adjacent given.
So we can simply just put this into a calculator:
tan(68°) × 7 cm = AC
tan(68°) × 7 cm = 17.3 cm
