115 degrees because there are 180 degrees in a triangle so let the missing angle in the trinagle be x. Then we have x+75+40=180. Solving for x and subtracting that from 180 (supplementary angles) we get 115 degrees.
Answer:
72°
Step-by-step explanation:
You correctly found x, but the measure of the angle is ...
4x-22 = 4·23.5-22 = 72°
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or (6x-69)° = (141-69)° = 72°
Answer:
Use the Pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is
where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

Simplify the equation to get:

Add 16 and 9 to get 25 and take the square root of both sides:

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.
Answer:
is the equation of this parabola.
Step-by-step explanation:
Let us consider the equation


![\mathrm{Range\:of\:}-4x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D-4x%5E2%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Af%5Cleft%28x%5Cright%29%5Cle%20%5C%3A0%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A0%5D%5Cend%7Bbmatrix%7D)

As











Therefore, the parabola vertex is





so,

Therefore,
is the equation of this parabola. The graph is also attached.
Step-by-step explanation:
Line is passing through the points:
Equation of line in two point form is given as:
