Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been t
2 answers:
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The relationship between the points is an illustration of similar shapes.
The length of AB is 0.43
The given parameters are:
From the question (see attachment), we have the following observations:
- BE corresponds to CD
- AB corresponds to AC
So, the equivalent ratio is:
Substitute known values
Express as fractions
Multiply both sides by 1.8
<em>AC = AB + BC</em>
So, we have:
Substitute 1.7 for BC
Multiply through by 5
Collect like terms
Divide both sides by 4
Approximate
Hence, the length of AB is 0.43
Read more about similar shapes at:
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is
