Answer: Bea has $30 saved
Step-by-step explanation:
Add 10: 50+10=60
Divide by 2: 60/2=30
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:
y=10°
Step-by-step explanation:
Here,
→(3x+18)°=(5x-4)°
→18°+4°=5x-3x
→22°=2x
→x=11°
Also,
3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]
12y+9°+5x-4°=180°
12y+5°+5×11°=180°
12y+5°+55°=180°
12y=180°-60°
12y=120°
y=120°/12
y=10°
Since 18 does not have a number that when multiplied by itself equal 18, then it will be a decimal number. You can tell the closest whole number by seeing what is the closest square. In this case we know that 16 is 4 times 4 and the next one would be 5 times 5 to equal 25, so the whole number would be 4.
Now, the easiest way to do this is to get you calculator and take the square root of 18 to get 4.242641. The problem wants it to be to the nearest tenth so 4.2 is your answer. On a number line, if it is in four parts, you will plot it just before the first little line.
Hope this helps! If you are using more small lines in you number line, comment me below and I would be happy to lead you in the right direction.
