The vertex angle of an isosceles triangle measures 40°. what is the measure of a base angle? 40° 70° 100° 140°

Answer

70°

Explanation

An isosceles triangle is a triangle with two equal sides. When two sides are equal, two of its angles will be also equal. This are the base angles of the triangle.

Let one of the base angle = x

Vertex angle is given a 40°.

Angles in a triangle add up to 180°

∴ 180 = 40 + x + x

 180 = 40 + 2x

  2x = 180 - 40

        = 140°

x = 140/2

    = 70°

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6