Answer:
Check it below, please
Step-by-step explanation:
Hi there!
Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.
Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.
Statement Reason
Given
Isosceles Triangle the altitude, the bisector coincide.
Bisector equally divide a line segment into two congruent
Right angles, perpendicular lines.
Perpendicular Line segment
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
Answer:
48, 55, 56, 68, 74, 78, 83, 85, 99
Mean: 71.77777777777777777..........
Median: 74
Mode: mode is the number seen the most, but there is no repeating values
Range: 51
Step-by-step explanation:
<u>Mean:</u>
add all the values together, and divide by how many values you have, so 646/9= 71.777777777............
<u>Median:</u>
the number in the middle of the sequence
<u>Range:</u>
the difference between the largest and smallest numbers/values.
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Answer:
Step-by-step explanation:
Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get .
