When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)
Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12
By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.
Answer: b=12
Answer:
y = 1/2x -3
Step-by-step explanation:
The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:
-1/(-2) = 1/2
The only answer choice with a slope of 1/2 is ...
y = 1/2x -3
Answer is B. 4,096
I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.
So 8⁴ is equal to 4,096.
8 x 8 x 8 x 8 = 4,096
8 x 8 = 64
64 x 8 = 512
512 x 8 = 4,096
Answer:
the answer is 67 coins are not Nickels
Step-by-step explanation:
29+24+16=67 so there is 27 Nickels in the jar
Answer:
65 degrees
Step-by-step explanation:
<u>Step 1: Find what the measure of JLK is</u>
JLM + JLK = 180
140 + JLK - 140 = 180 - 140
JLK = 40
<u>Step 2: Find what the measure of KJL is</u>
KJL + JLK + JKL = 180
KJL + 40 + 75 = 180
KJL + 115 - 115 = 180 - 115
KJL = 65
Answer: 65 degrees
