Answer:
Step-by-step explanation:
Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Hence proved.
The answer is 2/5. 2*2=4 and 2*5= 10, 2*3=6 and 3*5=15
Answer:
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Step-by-step explanation:
We can solve this problem using the Pythagorean Theorem. The Pythagorean Theorem states, that with hypotenuse c, and legs a and b, a² +b² = c², and since this is a right triangle, that principle is true here. In this problem, we have the length of the hypotenuse and leg a. So, we can insert the values of the variables and then simplify to find out the length of b. 15²+b²=20²b²=400-225b²=175b=√175