Answer:
No, triangles CDE and HGF are not necessarily congruent.
Step-by-step explanation:
Notice that just having one angle equal in value doesn't make the triangles congruent. To start with, we know that the three internal angles of a triangle must add up to 180 degrees, but all we know when one is 50 degrees, the other two must add up to 130 degrees, which can be done by an infinite number of different angle combinations: 110 + 20, 90 + 40, 80 + 50, etc.
Answer:
x=15º
Step-by-step explanation:
A triangle's angles add up to 180º.
∠A=30º
∠C=180º-45º
∠B=xº
To find ∠B we have to first find ∠C.
Since ∠C does not have an angle, knowing that a straight line is 180º we can subtract it from 45º to find ∠C.
180-45=135
∠C=135º
Now add ∠A and ∠C.
30+135=165
Subtract the sum from 180º
180-165=x
x=15º
Hope this helps :)
Answer:
A) Yes
B) No
C) No
D) No
Step-by-step explanation:
A) Yes, every telephone number that could occur in that community will have an equal chance of being generated because the telephone numbers were generated randomly.
B) No, this method of generating telephone numbers would not result in a simple random sample (SRS) of local residences because the first three digits were generated in a different random way than the last four digits.
C) No, this method would not generate an SRS of local voters because not everybody will be pick up when they call because they may not be at home or they may be too busy to pick up.
D) No, this method is not unbiased in generating samples of households because there will be nonresponse bias since not everyone will pick up the call
Answer:
A, C, D
Step-by-step explanation:
When lines are parallel, alternate interior angles at a transversal (5 & 6) are congruent, as are corresponding angles (2 & 3), (2 & 4). The converse is also true: congruent angles mean the lines are parallel.
Angles 2 & 3 are corresponding angles at the transversal <em>r</em> if lines <em>p</em> and <em>q</em> are parallel, so their congruence will guarantee that those lines <em>are</em> parallel. (choice A)
Angles 2 & 4 are corresponding angles at the transversal <em>q</em> if lines <em>r</em> and <em>s</em> are parallel, so their congruence will guarantee that those lines <em>are</em> parallel. (choice C)
Angles 5 & 6 are alternate interior angles at the transversal <em>p</em> if lines <em>r</em> and <em>s</em> are parallel, so their congruence will guarantee that those lines <em>are</em> parallel. (choice D)
__
Angles 5 and 7 have no common side, so their congruence does not guarantee anything about the lines that create them. Choice B is not applicable.
ANSWER
EXPLANATION
We want to factor the expression,
We can rewrite the expression as
The expression is now a difference of two squares,
Recall that,
The expression now becomes;
Therefore the correct answer is option A.
