Answer:
x=40°
Step-by-step explanation:
Firstly, lets look at some things that we know based on this image:
We have a equilateral triangle(The triangle on the left has 3 tick marked on the sides, so they are equal. It also has 3 of the same angle, so it must be equilateral) and a isosceles triangle (There are two tick marks showing that two of the sides are equal length), the measure of each of the equilateral triangle's angles must be 60° each, the measure of these two triangles together must be 360°, and angle x and the unmarked angle must be the same size as this triangle is isosceles.
To solve this, we can set up an equation to solve for x. To do this, we can add up all of the known angles and set it equal to 360.
<span>Probably 50 F, 32c would be 89 degrees Fahrenheit.</span>
Answer:
160
Step-by-step explanation:
360/(1+2+2+4)=40
4*40=160
2x +3x + 25 = 5x - 15
5x + 25 = 5x - 15
5x - 5x = -15 - 25
0 ≠ -35
Answer:
The ball reached its maximum height of (
) in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
Now factor out the coefficient of the quadratic term:
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
Now take the balancing term out of the parenthesis:
Simplify:
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
