Me 20 pts..

using the provided measures determine the measure of angle acb.

75 degrees

72 degrees

28 degrees

152 degrees

the measure of angle ACB is 72 degrees.

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees.

This means that

Angle CAB + angle ABC + angle ACB = 180 degrees. Therefore

70 + 38 + angle ACB = 180

108 + angle ACB = 180

angle ACB = 180 - 108 = 72 degrees

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1