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<h3>
Question #32:</h3>
Solve: 4/m - 8 = 8/2
Cross Multiply: 4 * 2 = 8 * (m - 8)
Simplify: 8 = 8m - 64
Flip the Equation: 8m - 64 = 8
Add 64 to both sides: 8m + (-64) + 64 = 8 + 64
Simplify: 8m = 72
Divide both sides by 8: 8m/8 = 72/8
Final Answer: m = 9
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<h3>
Question #33:</h3>
Solve: 7/b + 5 = 10/5
Cross Multiply: 7 * 5 = 10 * (b + 5)
Simplify: 35 = 10b + 50
Flip the Equation: 10b + 50 = 35
Subtract 50 to both sides: 10b + 50 - 50 = 35 - 50
Simplify: 10b = -15
Divide both sides by 10: 10b/10 = -15/10
Final Answer: b = -3/2
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Hope This Helped! Good Luck!
Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:
Step-by-step explanation:
<u>Given:</u>
Line y || z
i.e. y is parallel to z.
<u>To Prove:</u>
<u>Solution:</u>
It is given that the lines y and z are parallel to each other.
are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.
So, 
..... (1)
Similarly,
are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.
So, 
...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to 
.
i.e.
Using equations (1) and (2):
We can see that:
<em>Hence proved.</em>
Answer:x = 1
y = 1
Step-by-step explanation:
The given system of simultaneous equations is expressed as
3x - 5y = - 2 - - - - - - - - - - - - 1
2x + y = 3 - - - - - - - - - - - - - 2
The first step is to decide on which variable to eliminate. Let us eliminate x. Then we would multiply both rows by numbers which would make the coefficients of x to be equal in both rows.
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x - 10y = - 4
6x + 3y = 9
Subtracting, it becomes
- 13y = - 13
y = - 13/- 13 = 1
The next step is to substitute y = 1 into any of the equations to determine x.
Substituting y = 1 into equation 2, it becomes
2x + 1 = 3
2x = 3 - 1 = 2
x = 2/2 = 1
Answer:
the shape is semetrical
Step-by-step explanation:
