Answer: Option D. 16
Solution:
If LM is a midsegment of IJK, it is joining the midpoint of the sides IJ and IK, and it's half the length of the base of the triangle (JK), then:
L is the midpoint of the side IJ, and divides it into two congruent parts:
IL=LJ
Replacing IL by 7x and LJ by 3x+4:
7x=3x+4
Solving for x: Subtracting 3x both sides of the equation:
7x-3x=3x+4-3x
Subtracting:
4x=4
Dividing both sides of the equation by 4:
4x/4=4/4
Dividing:
x=1
Then we can determine the length of LM:
LM=2x+6
Replacing x by 1 in the equation above:
LM=2(1)+6
LM=2+6
LM=8
and because LM is half the length of the base of the triangle (JK)
LM=(1/2) JK
Replacing LM by 8:
8=(1/2) JK
Multiplying both sides of the equation by 2:
2(8)=2(1/2) JK
16=(2/2) JK
16=(1) JK
16=JK
JK=16
Answer:
$8.50
Step-by-step explanation:
Multiply the cost by the amount of candy she bought, your equation will look like this:
2(0.75) + 3(1) + 5(1.40)
Multiplying everything makes the equation into:
1.5 + 3 + 7
Adding everything makes the total cost 11.50.
Subtract 11.50 from 20, and the answer is 8.50
Answer:
Combine the ones to make 8 ones
Step-by-step explanation:
It seems the most reasonable. (Also, all the other options are wrong-) I just don't see why it's making you go through this process when you can just add 12 + 6 in your head lol.
I used a little trig, the opposite and adjacent were being used so I used tan... I used it to find h and then plugged it in the a=bh
You would divided both sides by 3 and 1x would equal 6