Answer:
2x - 5
Step-by-step explanation:
1/5(10x - 25)
Use the Distrubitve Property
1/5 * 10x = 2x
1/5 * 25 = 5
New equation is 2x - 5
Answer:
b = 15
Step-by-step explanation:
Solve for b:
Cross multiply:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
7+(42-5)-0 Equation/Question
Step 2
7+(42-5)-0 Simplify
7+37+(-0)
44+(-0)
44+0
Step 3
44+0 Add them
answer
44
Hope this helps
Answer:
- <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>
Explanation:
<u>1. Vertices of triangle FGH:</u>
- F: (-2,1)
- G: (-3,3)
- H: (0,1)
<u>2. Vertices of triangle F'G'H':</u>
- F': (-8,-4)
- G': (-12,-12)
- H': (0, -4)
<u>3. Solution:</u>
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:
- Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)
(0,1) → 4(0,1) = (0,4)
- Rule for a reflection across the x-axis:{ (x,y) → (x, -y)
(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
- Dilation by a scale factor of 4: multiply each coordinate by 4
4(-2,1) → (-8,4)
4(-3,3) → (-12,12)
- Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate
(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>
Answer:
3x+8=68 degrees
6x-8= 112 degrees
Step-by-step explanation:
3x+8+6x-8=180
9x=180
x=20
3*20+8=68
6*20-8=112
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