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
Answer:
The answer to your question is 7
1/14 i think im not completely sure<span />
SSS stands for side-side-side.
It is a criterion for triangles' similarity.
This criterion tells that if the 3 sides of two triangles have same ratio, then the two triangles are similar.
In this case, you have to refer to the figure to check that if HF is 4 units and GH is 2 units, you can infere that the SSS crieterion is satisfied.
For example, you will find these ratios 8/10 = 4/5.
Then, the answer is the option C. HF is 4 units and GH is 2 units.
Answer
Explanation
We've been told to pick the function that best models the data in the table.
Given that x = time (hours)
y = Cost (dollars)
The best approach is to examine each of the options to pick which one matches the data in the table
Option A
y = 65.75x + 50
when x = 1
y = 65.75 (1) + 50
= 65.75 + 50
= 115.75
when x = 4
y = 65.75 (4) + 50
= 263 + 50
= 313
when x = 8
y = 65.75 (8) + 50
= 526 + 50
= 576
when x = 12
y = 65.75 (12) + 50
= 789 + 50
= 839
Option A matches the data perfectly.
Option B
y = 50x + 115.75
when x = 1
y = 50 (1) + 115.75
y = 50 + 115.75
y = 165.75
Since this first attempt for the second function doesn't match the data in the table, we can easily write this option off as a wrong answer.
Option C
y = 65.75x + 1
when x = 1
y = 65.75 (1) + 1
= 65.75 + 1
= 66.75
Since this first attempt for the third function doesn't match the data in the table, we can easily write this option too off as a wrong answer.
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