△ACD∼△BED What is the value of x?
1 answer:
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Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x
<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary
substitute the value of x
solve for y
therefore
The angles of a parallelogram are 135°-45°-135°-45°
Find how many numbers are divisible by two and three, then place that number above the total number of items in the set as a fraction. Like this:
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
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<em>Additional comment</em>
It is impossible to specify an equilateral triangle using rational coordinates.
