Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Answer:
900
Step-by-step explanation:
5 people are said to occupy a 1000square feet space
That means we have to look out for how many 1000 square feets are in 180000
That would be 180000/1000 = 180
But 1000 square occupies 5 persons and there are 180 1000square which can occupy 5 people in 180 000 square.
Hence 180 × 5= 900 is the number of persons that the hall can occupy.
Answer:
- 2
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
b1+b2÷2×h is the formula.
Just fill in the formula with the numbers you have.
12+14=26
26÷2=13
13×9=117
