Answer:123
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
If he spent $40 and has none left that means he currently has $0.
If you subtract $40 - b = $0
b = $40
The measures of the angles in a triangle add up to 180°.
The correct choices based on the Segment Addition Postulate are <u>C. WX + XY + YZ = WZ</u> and <u>E. WY + YZ = WZ</u>.
<h3>What is a segment addition postulate?</h3>
A segment addition postulate is a part of a segment line that consists of two endpoints and all of the points between them.
For example, the segment addition postulate of line segment, AC will be defined as the sum of the lengths of the segments, AB and BC being equal to the total length AC.
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The possible addition postulates that can be created from WZ are:
WZ = WX + XY + YZ
WZ = WY + YZ
WZ = WX + XZ
Thus, the correct choices of the segment addition postulate are <u>Options C and E</u>.
Learn more about segment addition postulates at brainly.com/question/2134445
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Answer:
The proof is given below.
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
