Answer:
x = 32
Step-by-step explanation:
So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:
x + 98 + 50 = 180
Now we solve for x. Subtract 50 from both sides.
x + 98 = 130
Subtract 98 from both sides.
x = 32
So the value of x is 32.
I hope you find my answer and explanation to be helpful. Happy studying.
The ordered pairs that are a solution to the equation y=4-2x are (0,4) and (-1,6)
Answer:
2(x - 7)(x + 2)
Step-by-step explanation:
Given
2x² - 10x - 28 ← factor out 2 from each term
= 2(x² - 5x - 14) ← factor the quadratic
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)
The factors are - 7 and + 2 , since
- 7 × 2 = - 14 and - 7 + 2 = - 5 , thus
x² - 5x - 14 = (x - 7)(x + 2) and
2x² - 10x - 28 = 2(x - 7)(x + 2)
Probability of an adult who needs correction = 82% or 0.82
So, probability of an adult who does not needs correction = 1 - 0.82 = 0.18
If 12 adults are randomly selected, the probability that at least 11 of them need correction for their eyesight is:
12C11
+ 12C12
= 12*0.11*0.18 + 1*0.09*1
= 0.238+0.09
= 0.328 or 0.33
And, yes, 11 is significantly a high number of adults requiring eyesight correction.
