Step-by-step explanation:
i) the fourth angle is x=360-(25+136+17)
x=182
ii) 4x+2x+x+5x=360
12x=360
x=30
iii) an expression for the fourth angle can be 5a
Answer:
32m + 24n
Step-by-step explanation:
Distribute the 8 to the other terms.
8(4m + 3n)
32m + 24n
Answer:
∴ 1, 4 and 5 statement are correct.
Step-by-step explanation:
Given some statements for the parallelogram LMNO. we have to choose the statements which apply.
As we know opposite sides of parallelogram are parallel therefore, the sum of their adjacent angles are 180° i.e adjacent angle od parallelogram are supplementary.
m∠N and m∠O are 59° and 121° which are supplementary.
m∠N+m∠O=59°+121°=180°
which satisfied the condition.
Also opposite angles of parallelogram are equal implies
m∠L=m∠N=59° and m∠M=m∠O=121°
Hence, option 2 and 3 not possible.
∴ 1, 4 and 5 statement are correct.
Answer:
4 and 14
Step-by-step explanation:
:the sum of two numbers is 18" can be written as
x + y = 18 let x represent the first number, and y the second
"twice the first number increased by three times the second number equals 40" can be written as
2x + 3y = 40
Now solve this system. Using elimination will probably be the easier method...
1. x + y = 18
2. 2x + 3y = 40
Multiply equation 1 by -2 so the x variable will be the opposite of the x variable on equation 2.
1. -2x - 2y = -36
2. 2x + 3y = 40
Now add the equations together, cancelling out 'x'
y = 4 ( 2x + (-2x) = 0, so 'x' is gone, 3y + (-2y) = y, 40 + (-36) = 4)
Since y = 4, plug that into either equation 1 or 2 and solve for x
1. x + 4 = 18 (y becomes 4)
x = 14 (subtract 4 on both sides to isolate 'x')
No look at the problem set as a fraction Jed did 2 shots in 5 seconds while simplified Alex shot 1 every 3 seconds . hope this helps