Answer:
A
Step-by-step explanation:
-5x + 10 > -15
-5x > -25
x < 5
(switch direction of inequality sign when multiplying or dividing by a negative number)
Because x < 5, the arrow would go left (more negative) starting at 5, so the answer would be A.
Answer:


Step-by-step explanation:
we have a square and a triangle
we want to figure out the area and the perimeter of the pentagon
to figure out the area of the pentagon we can use the given formula:

let's figure out
:
since the given shape is a square Every angle of its 90° Thus the triangle is a right angle triangle
therefore the height is 4

substitute h and b

reduce fraction:

simplify multiplication:

likewise square

substitute s:

simplify square

hence,


to figure out perimeter
let's figure out hypotenuse first



therefore,



Answer:
122 degrees
Step-by-step explanation:
All the angles of a triangle have to add up to 180 degrees, and 180-35-23=122 degrees
Answer:
Step-by-step explanation:
X( -9 , 2) & Y(5 , -4)
![distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\XY=\sqrt{(5-[-9])^{2}+(-4-2)^{2}}\\\\=\sqrt{(5+9)^{2}+(-6)^{2}}\\\\=\sqrt{(14)^{2}+(-6)^{2}}\\\\=\sqrt{196+36}\\\\=\sqrt{232}\\\\= 15.23](https://tex.z-dn.net/?f=distance%20%3D%20%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5CXY%3D%5Csqrt%7B%285-%5B-9%5D%29%5E%7B2%7D%2B%28-4-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%285%2B9%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%2814%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B196%2B36%7D%5C%5C%5C%5C%3D%5Csqrt%7B232%7D%5C%5C%5C%5C%3D%2015.23)
Answer:

Step-by-step explanation:
zn = z√?
√? = 
√? = n
? = n²
Therefore z√n² makes the statement zn true