Answer:
AB = PQ
Step-by-step explanation:
ABC = PQR
The angles are equal and the segments are equal
for the angles
A = P
B = Q
C = R
For the segments
AB = PQ
BC = QR
AC = PR
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).
First angle= x+10
Second angle = x
Third angle = x+x+10 or 2x+10
X+10+x+2x +10=180
4x+20=180
Subtract 20 from both sides
4x=160
Divide both sides by 4
X=40
First angle =50
Second angle=40
Third angle =90
Answer:
1a) t = 0.17b
1b) $36.03
2) 51,167.50
Step-by-step explanation:
1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip
1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.
To find what the cost was without the tip, divide the bill total by 1.17
248/1.17 = 211.97. That was the bill before the tip was added.
248-211.97 = 36.03 was the tip added.
2) 5.5% converted to a decimal is 0.055
0.55 x 48,500 = 2667.50
$2,667.50 + $48,500 = 51,167.50
Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500
1.055 x 48,500 = 51,167.50
Answer:
(x + 2)(x - 5)
Step-by-step explanation:
Here are the steps:
