- AB and BC are congruent (given)
- AO and OC are congruent (given)
- BO is congruent with itself (reflexivity)
Taken together, these three facts imply that triangles AOB and COB are congruent (side-side-side congruence postulate).
Now, it's not exactly clear whether A and C lie on the same line (it's possible that the figure is not drawn to scale). If they do, then both angles AOB and COB are right angles, so angle BOK has measure 45º, and so .
Answer:
0.8808
Step-by-step explanation:
The objective is to calculate the probability of:
P(-1.20 ≤ z ≤ 2.64)
i.e. the probability that is the area between two z-values.
Thus;
P(-1.20 ≤ z ≤ 2.64) = P(z ≤ 2.64) - P( z ≤ 1.20)
From z table;
P(-1.20 ≤ z ≤ 2.64) = 0.9959 - 0.1151
P(-1.20 ≤ z ≤ 2.64) = 0.8808
We can see the shaded area under the standard normal curve from the image attached below.
Answer: The required value of y is 22.
Step-by-step explanation: We are given the following function of a and b :
We are to find the value of y when a = 1 and b = 2.
To find the required value of y, we need to substitute the values of a and b in equation (i).
From (i), we get
Thus, the required value of y is 22.
X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3
x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions
Heyo!
(a - 6)2
Multiply each term in the parenthesis by 2
2a - 6 × 2
Multiply the numbers
Your answer is
2a - 12