Answer:
The value of x in all the cases is 
.
Step-by-step explanation:
The given equation is:
a. Add 4 on both the sides. The equation becomes 
The operation of addition (or subtraction) done on both the sides of the equation will not alter the value. They will still be equal. However, adding a non - zero term to only one side of the equation will result in the equation becoming unequal.
b. Equivalent Equations are those equations which have the same roots or solutions. Note that, the equations and have the same solution. Then these equations can be named 'equivalent equations'.
c. Subtraction:
Subtract any number from both the sides of the equation, say, 5.
. The solution is still not altered.
Multiplication:
Multiply through by 2. We get: 
. The value of x is still the same.
Division:
Divide through out by -2. The solution is unaltered.
Note that operations of Multiplication and Division are to be done by non -zero numbers. Otherwise it would be altered.
Answer: Read the Explanation
Step-by-step explanation:
m<7 = 120
m<5 = 120
m<6 = 60
m<2 = 60
The reason why they are 60 is because they are supplementary angles to complete a straight line so like since 3 = 120 4 = 60 since its a straight line.
The complete question is;
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm. Option D is the correct answer
Step-by-step explanation:
From the image, the diagonals of the parallelogram bisect each other. Thus;
AE = EC and BE = ED
We are given that;
DE = 3y + 6 cm and BE = 5y - 10 cm, thus;
3y + 6 = 5y - 10
Rearranging, we have;
5y - 3y = 6 + 10
2y = 16
y = 16/2
y = 8 cm
The brace that bisects point B and D is BD. So, BD = BE + DE
So, BD = 5y - 10 + 3y + 6
BD = 8y - 4
Putting 8 for y to obtain;
BD = 8(8) - 4
BD = 64 - 4
BD = 60cm
Answer:
For it to be parallel the answer is B (3)
Answer:
-16 and 16 so A and E
Step-by-step explanation:
The positive version of -16 is 16
