In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °. Whats the measure of angle BAC?

60°

Step-by-step explanation:

Given :

DAB= (180 – 3x) °,

mZ B= (6x – 40) °, and

m ZC = (x+20) °.

DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)

180 - 3x = (6x - 40) + (x + 20)

180 - 3x = 6x - 40 + x + 20

180 - 3x = 6x + x - 40 + 20

180 - 3x = 7x - 20

180 + 20 = 7x + 3x

200 = 10x

x = 200/10

x = 20

Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80

Angle C = x + 20 = 20 + 20 = 40

BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)

BAC = 180 - 120

BAC = 60°

answer: 0.95, d

step-by-step explanation:

first, you have to combine the percentages of costumers ordering pizza or salad. 25% (percent of salads ordered) plus 70% (percent of pizzas ordered) is equal to 95%. then, turn 95% into a fraction: 95/100. lastly, divide 95 by 100 and you will get 0.95, d.

the answer is a

step-by-step explanation: