Answer:
m∠1 = 130°
m∠2 = 158°
Step-by-step explanation:
For the given figure, we have;
The measure of angle m∠1 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;
m∠1 = 99° + 31° = 130°
m∠1 = 130°
Similarly, the measure of angle m∠2 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;
m∠2 = 28° + m∠1 = 28° + 130° = 158°
m∠2 = 158°.
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
3 miles X 4 times a week is =12 miles a week so 12 miles X 6 =72 miles
Answer:
c. 2(x + 8)
Step-by-step explanation:
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A standard Deck of cards has 52 cards. there are 4 5s because there are 4 kinds of cards (spades, hearts, diamonds, clubs). therefore, the theoretical probability of choosing a 5 is 4/52 or 1/13
