By SAS property, ABC ≅ DCB.
<h3>How to prove the deductions</h3>
In this question we have to proof ABCD has congruent diagonal. By SAS property and reflexive property it can be proved as follows:
Given:
ABCD is a rectangle.
Prove:
Diagonal AC ≅ Diagonal BD
From the question,
As we can see that, ABCD is a rectangle, it is also a parallelogram.
Thus, ABCD is a parallelogram, opposite sides of a parallelogram are congruent.
⇒ AB ≅ DC
⇒ BC ≅ BC (Reflexive Property of Congruence)
Hence, ∠ABC and ∠DCB are right angles by the definition of rectangle.
∠ABC ≅ ∠DCB (all right angles are congruent)
Therefore, by SAS property, ABC ≅ DCB.
⇒ segment AC ≅ segment BD
Learn more about rectangular congruency here:
brainly.com/question/7162498
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Answer:
x = 6
Step-by-step explanation:
5x-3 = 2x+15
<h3>i) move 2x to the left-hand side and change its sign</h3>
5x-2x-3 = 15
<h3>ii) move -3 to the right-hand side and change its sign</h3>
5x-2x = 15+3
<h3>iii) collect like terms</h3>
3x = 15+3
<h3>iv) add the numbers</h3>
3x = 18
<h3>v) divide both sides of the equation by 3</h3>
Answer:
28 hours
Step-by-step explanation: you divide 1,456 by 52
52 goes into 145 2 times which is 104, then subtract 104 from 145 to get 41, next bring down the 6 from 1,456 to 41 to make it 416 which 52 goes into 8 perfectly. to make the answer 28
Answer:
Y - Intercept is 50
Slope is -25/100
Step-by-step explanation:
Hope this Helps!!
:D
