The line is y = x also called the diagonal.
Answer:
<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD
We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3
THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)
Therefore, CE / BC is equal to DC / AC
Your full answer is
<ACB = <ECD, CE / BC = DC / AC
So triangle ABC ~ triangle CDE
Step-by-step explanation:
Answer:
$1787.625
Step-by-step explanation:
We first determine the interest earned in 6 months time using the simple interest formula;
The balance in the account will be;
1750 + 37.625 = $1787.625
Answer: 12
Step-by-step explanation: to find perimeter we have to add all the sides of the shape so, for a square you can just simply multiply your given side 3 by 4 because there is 4 sides of a square and this equals to 12.
Answer:
3
Step-by-step explanation:
1) Substitute 27 as m in the original equation:
27-4n
2) Substitute 6 as n in the original equation:
27-4(6)
3) Multiply 4 and 6 together:
27-24
4) Solve:
3
