Answer: x = 56
Step-by-step explanation:
The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:
Subtract 124 on both sides to isolate the angle 'z' to get:
All you need to do is convert all equations into standard form by using the distributive property on each equation.
Answer: The measure of <b is 26 degrees.
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. I remember this because my teacher told me this: "Complements are always RIGHT!" Of course, this is a reference to complementary angles combining to make right angles, which are 90 degrees.
To go back on your question, if <a and <b are truly complementary, then m<a +m<b = 90 degrees. Substitute the measure of <a for 64 degrees, then you get 64 degrees + m<b = 90 degrees. Simplify. Then you'd get that the measure of <b is 26 degrees.
(P.S. Sorry if I cluttered up the ask portion of your post. I haven't used this platform in like 2 years, so everything seems so foreign to me.)
Answer:
the number of coats in the coat check will most likely decrease if the temperatures decrease.
Step-by-step explanation:
Im guessing this answer: Number of coats in the coat check will decrease because the graph shows negative association
But it could also be this answer: Number of coats in the coat check will decrease because the graph shows positive association
I think the graph shows a negative association because when the temperature goes down, the coat check goes down as well
Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
