The question has been solved based on the assumption that • represents multiplication operation
We will follow the rule of BODMAS to solve the questions. BODMAS means we solve the expression within the bracket first, then conduct division operation, followed by multiplication, addition and subtraction.
Part A
22-2•6
Let 22-2•6 be X
⇒ X = 22 - 12 (Conducting multiplication operation first)
⇒ X = 10 (Conducting subtraction next)
Part B
6-1/4•16+21 divided by 3 indicates that the first part of the expression (
6-1/4•16+21) needs to be divided by 3.
Let 6-1/4•16+21 divided by 3 be Y
⇒ Y = (6-1/4•16+21) ÷ 3
⇒ Y = (6-0.25•16+21) ÷ 3 (Solving the bracket first and starting with the division operation)
⇒ Y = (6-4+21) ÷ 3 (Conducting the multiplication operation next)
⇒ Y = (6-17) ÷ 3 (Conducting the addition operation next)
⇒ Y = (11) ÷ 3 (Conducting the subtraction operation next)
⇒ Y = 3.333... (Moving out of the bracket and conducting the remaining operation)
Hence, Y = 3.333...
Part C
(8-5) (5-3) to the second power indicates that the brackets need to be solved first. Also, power operation is conducted before division or multiplication.
Let (8-5) (5-3) to the second power be Z
⇒ Z = (3) (2) to the second power (Solving the brackets first)
⇒ Z = (3) (2²) (Conducting the power operation next)
⇒ Z = (3) (4)
⇒ Z = 12 (Conducting the multiplication operation next)
Hence, Z = 12.
Answer:
40x90it is your ans muntply and divide and your ans coms
Answers may vary here are all the possible answers:
(R) = red
(G)= green
12 (R) 1 (G)
11 (R) 2 (G)
10 (R) 3 (G)
9 (R) 4 (G)
8 (R) 5 (G)
7 (R) 6 (G)
14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.
15.
Angles 1 and 8 are congruent, because they are alternate exterior angles
16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5
17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0
18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3
19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
<em>m = -1</em>
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
<em>m = 1</em>
Perpendicular, because the slopes are opposite reciprocals.
20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
<em>m = 2</em>
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
<em>m = 3 / 2</em>
Neither, because the slopes are different.
21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
<em>m = -5/2</em>
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
<em>m = 2/5</em>
Perpendicular, because the slopes are opposite reciprocals.
22.
M = (-2, 2) - N = (2, 2)
Horizontal line
<em>m = 0</em>
O = (3, 0) - P = (-3, 0)
Horizontal line
<em>m = 0
</em>Parallel, because the slopes are the same.
<em>
</em>23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
Answer:
. Multiply 15 by 1, then divide by 5
