The difference between the 48 and electrons impact
Answer:
x = 14
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, hence
4x + 14 + 2x + 15 + 5x - 3 = 180
11x + 26 = 180 ( subtract 26 from both sides )
11x = 154 ( divide both sides by 11 )
x = 14
In a rigid transformation, the shape of the image remains the same as the preimage
The correct options are;
Rotation; a → b
Translation: a → d
Reflection over a horizontal line: c → e
Reflection over a vertical line: g → f
Rotation then reflection: a → h
Rotation then translation: e → j
The reasons why the above selections are correct are as follows;
- Rotation; Figure <em>a</em> is rotated about a common center to figure <em>b</em> to move from <em>a</em> to <em>b</em>
- Translation: Figure <em>a</em> can be translated towards the left and then upwards to reach figure <em>b</em>
- Reflection over a horizontal line: A reflection over a horizontal line is similar to a reflection across the x-axis, therefore an example of a reflection over horizontal line is c → e
- Reflection over a vertical line: A reflection over a vertical line will turn a left pointing triangle to a right pointing triangle as shown in g → e
- Rotation then reflection: The preimage is first rotated about an axis before it is then reflected as seen in the clockwise rotation figure <em>a</em> about its axis, followed by a reflection across a vertical axis to figure <em>h</em>
- Rotation then translation: The rotation and translation composite transformation can be seen in figure <em>e </em>which is rotated to point left, and then translated into the position of figure <em>j</em>
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Learn more about rigid transformations here:
brainly.com/question/14301866
Answer:
1704.74 = P
Step-by-step explanation:
The formula for compound interest is
A = P(1+r/n) ^nt where
A is the amount in the account
P is the principle
r is the interest rate
n is the number of times the interest is compounded per year
t is the time in years
2000 = P (1+.04/12)^12*4
2000 = P (1.003333333)^48
Divide each side by (1.003333333)^48
2000/ (1.003333333)^48= P (1.003333333)^48/ (1.003333333)^48
1704.74110 = P
Rounding to the nearest cent
1704.74 = P
