Which equation can be used to solve for m∠1?

m∠1 = (a – b)
m∠1 = (a + b)
m∠1 = (c – d)
m∠1 = (c + d)

m∠1 = (a + b) you will also need to divide the sum by 2

Step-by-step explanation:

The measures of angles formed by intersecting chord can be found by adding their arc measures and dividing in 2.

In this case, m< 1 = 1/2 ( a + b).

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is