Objective: Solve 2x + 3 = 5x - 42 for x.
Step 1: Subtract 3 from both sides.
2x + 3 = 5x - 42
2x = 5x - 45
Step 2: Subtract 5x from both sides.
2x = 5x - 45
-3x = -45
Step 4: Divide both sides by -3.
-3x = -45
x = 15
Answer:
x = 15
<h3>
Answer: 12 inches</h3>
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Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
Answer:
6+4x-3z
Step-by-step explanation:
<u>-2</u>+6x+z-2x<u>+8</u>-4z
6<u>+6x</u>+z<u>-2x</u>-4z
6+4x<u>+z-4z</u>
6+4x-3z
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Answer is A
Answer:
Part A: (0.75 + .25 + .60) - .20 = 1.40
Part B : Addition and subtraction ¯\(°_o)/¯
First parentheses ¯\(°_o)/¯
Then subtract
¯\(°_o)/¯
