Which statement can be used to prove that a given parallelogram is a rectangle? The diagonals of the parallelogram are perpendic
ular.
All the sides of the parallelogram are equal in measure.
The consecutive angles of the parallelogram are supplementary.
The diagonals of the parallelograms are congruent.
All the sides of the parallelogram are equal in measure.
The consecutive angles of the parallelogram are supplementary.
The diagonals of the parallelograms are congruent.
2 answers:
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Answer:
The simplified form is .
Step-by-step explanation:
Given : Expression
To find : The simplified expression ?
Solution :
Expression
Multiply 3 both side,
Therefore, the simplified form is .
*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°
Answer:
Tyler currently does 40 squats
Step-by-step explanation:
Tyler does squats and pushups.
<u>Currently:</u>
Number of pushups = 25
Number of squats = x
Total number = 25 + x
<u>After increase:</u>
Number of pishups
Number of squats
Total number
If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus