Answer:
1) g ≥ 17
2) g > -10
3) g > -1
Step-by-step explanation:
1) 7 (g-19) ≥ -14 divide both sides by 7
g - 19 ≥ -2 add 19 to both sides
∴ g ≥ 17
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2) 3(7g+17) > -19 + 14g
21g + 51 > -19 + 14g
21g - 14g> -19 - 51
7g > -70
g > -10
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6(-6g+6) > -2(19g-17)
-36g + 36 > -38g + 34
-36g + 38g > 34 - 36
2g > -2
g > -1
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Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of
,
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
Answer : The grain of sand is 50 times greater than the phytoplankton.
Step-by-step explanation :
As we are given that:
Size of phytoplankton = 2 × 10⁻⁶ in
Size of sand grain = 1 × 10⁻⁴ in
Now we have to determine how many times longer the grain of sand is than the phytoplankton.
We are dividing the sand grain size by the phytoplankton size.
This can be done by equating it as follows:


Therefore, the grain of sand is 50 times greater than the phytoplankton.
Hello! I think that 300 students attend that middle school. Since 225 is 75% of the students all I did was make 75% a fraction, which is 3/4. Then, I figured out that 225/300 is equivalent to 3/4 or 75%.