Answer:
Correct choice is 3rd choice
Step-by-step explanation:
Congruent circles must have congruent radii.
There are four circles with radii of 3 in, 4 in, 5 in and 3 in.
Hence, the first circle is congruent to the last circle, or circle A is congruent to the circle D.
There are many steps to find the coordinates of the vertices of triangle ABC.
The slope formula is y2 - y1 / x2 - x1
There would be three equation associated with this problem.
The first equation can be found by taking the x and y's from A and B
First Equation: 2 - 3 / 1 - (-1)
Answer: -.5
The second equation can be found by taking the x and y's from B and C
Second Equation: -1 - 2 / -3 - 1
Answer: 12
The third equation can be found by taking the x and y's from C and A
Third Equation: 3 - (-1) / -1 - (-3)
Answer: 2
These are not equal measurements so, it isn't right angle.
Answer:
25(a-2)(a+2)
Step-by-step explanation:
25a^2 -100
We can factor out 25
25(a^2 -4)
a^2 -4 is the difference of squares a^2-b^2= (a-b)(a+b)
where a =a and b=2
a^2 -4 = (a-2)(a+2)
25a^2 -100 = 25(a-2)(a+2)
The value of k in <span>
1/2 k+6=4k-8</span>
is 4
Step-by-step explanation:
p = 0.1, q = 0.9, n = 7
a) Use complementary probability.
P(at least 1) = 1 − P(0)
P(at least 1) = 1 − (0.9)⁷
P(at least 1) = 0.522
b) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
P(3) = ₇C₃ (0.1)³ (0.9)⁴
P(3) = 0.023