Answer:
43°
Step-by-step explanation:
In a isosceles triangle, two angles HAVE to be equal.
This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.
Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)
94+94+x=180
188+x=180
There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.
x+x+94=180
2x+94=180
Subtract 94 from both sides
2x=86
Divide both sides by 2
x=43
Therefore the answer is 43°
The value of k is (A) 20/3.
<h3>
What is a parabola?</h3>
- A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
- It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
- A point and a line are two ways to describe a parabola.
To find the value of k:
Where (a, b) is the vertex and c is the constant.
- (a, b) = (-4, k)
- y - k = c (x - (- 4))²
- y - k = c (x + 4)²
So,
- x = 0, y = 12
- 12 - k = 16c
- k = 12 - 16c ...... (1)
Then,
- (-3, 7) = (x, y)
- 7 - k = c (1)²
- k = 7 - c ...... (2)
Now,
- 12 - 16c = 7 - c
- 12 - 7 = 16c - c
- 5 = 15c
- c = 5/15 = 1/3
So, the value of k:
- k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3
Therefore, the value of k is (A) 20/3.
Know more about a parabola here:
brainly.com/question/4061870
#SPJ4
The complete question is given below:
The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?
(A) 20/3
(B) 16/5
(C) 14/3
(D) 12/5
X= 9 1/4 or 9.25 in decimal form
Answer: C. 
Step-by-step explanation:
The confidence interval for difference of two population mean is given by :-
Given : Level of significance : 
Then , significance level : 
Critical value : 
Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides
Answer:
(a) 71.00%
(b) 63.00%
Step-by-step explanation:
No optional features = 0.29
One feature = 0.34
Two features = 0.37
(a) The probability that an order requests at least one optional feature is 100% minus the probability of an order requesting no optional features:
(b) The probability that an order does not request more than one optional feature is 100% minus the probability of an order requesting two optional features:
