Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
-4.75= z/2
Multiply both sides by 2
-4.75(2)= z/2(2)
Cross out 2 and 2, divide by 1 and becomes z
z=-9.5
Answer: z= -9.5
Answer:
PPP Loan
Step-by-step explanation:
Answer:
210 pounds
Step-by-step explanation:
First, we are going to find the exchange rate from dollars to pounds.
We know form our problem that 800 dollars are 560 pounds. so:
\frac{560pounds}{800dollars} =0.7
800dollars
560pounds
=0.7 pounds per dollar.
Next, we are going to multiply our exchange rate by the number of dollars we want to change, 300:
300dollars*\frac{0.7pounds}{dollar} =210pounds300dollars∗
dollar
0.7pounds
=210pounds
We will get 210 pounds for 300 dollars
No, if you multiply the factors in 3(5b-2) the equivalent expression would be 15b-6