Answer:
its the the second one not the first one
Answer:
What is a factor?
Step-by-step explanation:
The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.
<h3>What is a mathematical proof?</h3>
Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.
<h3>What is the proof that WV = VR?</h3>
Reason: This is given. The image is a parallelogram.
- Hence, ∠PSR = ∠WVP
Reason: Alternate angles formed by two parallel lines crossing each other
Hence, SV = PVReason: This is given by the annotation on the image
- Reason: They are formed by two parallel lines crossing each other.
Therefore if ΔSVR ≅ PVW;
Then WV = VR.
QED.
Learn more about proofs at:
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Answer: Total distance travelled is 510 km
Step-by-step explanation:
it is given that an automobile travels for
2 hours at 80km/h
3 hours at 110km/h
30 min at 40km/h
to find distance=x(let)
since
distance = speed * time
so
x= 80*2 +110*3 +40*(1/2) [since 1 hour =60 min so 30 min =1/2 hour]
x=160+330+20
x=510
hence total distance travelled is 510 km
Learn more about kinematics here
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