You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
Answer:
2 problems in 6 minutes
Step-by-step explanation:
if 1 problem is three minutes 2 should be six
A = L * W
A = 99
L = 2W + 7
99 = W(2W + 7)
99 = 2W^2 + 7W
-2W^2 - 7W + 99 = 0
(-2W + 11)(W + 9) = 0
-2W + 11 = 0
-2W = -11
W = -11/-2
W = 5.5
W + 9 = 0
W = -9 .....not this one because it is negative
so the width (W) = 5.5ft <====
L = 2W + 7 .....2(5.5) + 7 = 18 ft is the length (L) <==
