Answer:
D is the largest angle
Step-by-step explanation:
The angle opposite the largest side is the largest and the angle opposite the smallest side is the smallest.
Since 12 is the largest side, angle D is the largest
8 is the smallest side, F is the smallest angle
1) y:10;
2) 4p+6q;
3) x +( x+ 1) = 59 => 2x = 58 => x = 29 => 29 and 30;
Answer:Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.
Step-by-step explanation:
Answer: y= 3x-1
Step-by-step explanation:
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m =
y2-y1
x2-x1
m =
2--1
1-0
m =
3
1
m = 3
Now putting value of m in equation (i)
y = 3x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (0,-1) for calculating y-intercept:
y = mx + b
-1 = 3(0) + b
-1 = 0 + b
-1 = b
b = -1
1 .Fridays and Saturdays, she works 16 hours
16 x $9.70 = $155.20
answer: her gross pay in a week: $155.20
2. 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
7 + 6 + 9 = 22
196.90 / 22 = $8.95
answer: his hourly rate was $8.95
3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?
$11.28 x 40 = $451.20 ---normal 40 hours paid
46 - 40 = 6 (6 hours over time)
11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)
6 * $16.92 = $101.52
$451.20(40hours) + $101.52(6hours overtime) = $552.72
answer: her gross pay last week was $552.72
4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?
15 / 120 = .125
.125 * 100 = 12.5%
answer: percent of the meal cost was the tip was 12.5%
5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?
4% = .04
$3,250 * .04 = $130 (commission on sold products)
$720 + $ 130 = $850
answer: her gross pay was $850
