X=70, y=55
The triangle is an isosceles triangles. In an isosceles triangle, the base angles are congruent.
Then use the triangle angle sum theorem and set the equation to 180.
55+55+x=180
110+x=180
x=70
The angle with 55 degrees and the angle with the variable y are alternate angles. Meaning they are congruent.
Answer:
k = 575
Step-by-step explanation:
let d be distance and h time.
Given d varies directly as h then the equation relating them is
d = kh ← k is the constant of variation
To find k use the condition d = 2875, h = 5, then
2875 = 5k ( divide both sides by 5 )
k = 575
1.A 2.D 3.B These are the answers I think is the choice to your question.
Answer:
a = 10/3.
Step-by-step explanation:
We write the linear function as follows:
f(x) = mx + b where m is the slope and b is the y-intercept.
f(6) = 6m + b = 8
f(2) = 2m + b = 20 Subtracting these 2 equations:
4m = -12
m = -3.
and -3 * 2 + b = 20 so:
b = 20 + 6 = 26.
So we have the linear function:
f(x) = -3 x + 26
f(a) = 16 = -3 a + 26
-3 a = 16-26
a = -10 * -3 = 10/3.
