The <u>correct answer</u> is:
<span>If a figure is a triangle, then it has three sides.
Explanation:
A conditional is an if-then statement. The part after "if" is called the hypothesis; the part after "then" is called the conclusion.
We know that triangles have 3 sides. We will start out with "if a figure is a triangle"; we end with "then it has three sides."
This is a true conditional statement.</span>
Answer:
A congruence statement says that two polygons are congruent.
Step-by-step explanation:
To write a congruence statement, list the corresponding vertices in the same order.
Answer:
0.21 and 0.22
Step-by-step explanation:
Answer:
1 real solution
Step-by-step explanation:
y=2x^2−8x+8
We can use the discriminant to determine the number of real solutions
b^2 -4ac
a =2 b = -8 c=8
(-8)^2 - 4(2)(8)
64 - 64
0
Since the discriminant is 0 there is 1 real solution
>0 there are 2 real solutions
< 0 two complex solutions
Answer:
(a) b = (4/7)c
(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour
Step-by-step explanation:
Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...
7b = 4c
c - b = 30 . . . . shingles per hour difference in rates
(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7
b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate
__
(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:
7c -7b = 210
7c -4c = 210
c = 210/3 = 70
b = (4/7)(70) = 40
Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.
