Answer:
∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem,
WY ≅ WY by the reflexive property
WZ ≅ XY by the given.
Step-by-step explanation:
The option:
- WX ≅ ZY by definition of a parallelogram
can't be used because we want to prove that WXYZ is a parallelogram
The Alternate Interior Angles Theorem states that, when two parallel lines (here XY and WZ) are cut by a transversal (here WY), the resulting alternate interior angles (here ∠ZWY and ∠XYW ) are congruent.
The reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. Here, WY ≅ WY.
Answer:
JH = 17
Step-by-step explanation:
GH = 2
IJ = 12
GI = 7
find: JH
HI = 7 - 2
HI = 5
JH = 12 + 5
JH = 17
Answer:
digits are: 0, 4, 8. The required number is: 480.
Step-by-step explanation:
→ Let ones digits is 'x', then according to the condition the hundreds digit is 'x+4', and the tens digit is '2(x+4)'.
→ According to the condition the sum of the digits is: x+(x+4)+2(x+4)=12.
→ After evaluation this equation, x=0 - this is ones digit;
→ x+4=0+4=4 - this is hundreds digit;
→ 2(x+4)=2(0+4)=8 - this is ten digit.
Answer:
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Step-by-step explanation:
Represent the probability that a graduate finds a job with p
Required
Determine the probability that at least 1 of 7 gets a job.
In probability:
So, we calculate the probability that none of the 7 gets a job.
Represent the probability that a graduate will not get a job with q.
Represent as decimal
The probability that none of the 7 will get a job is
i.e.
So, we have:
Substitute 0.45 for q
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Answer:
the answer is A.
Step-by-step explanation: