Answer:
Step-by-step explanation:
Per cent means ' out of a hundred' , thus
45% = 
← divide ( cancel) both 45 and 100 by 5
45% = ← in simplest form
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
<h3>
Answer: 37 degrees</h3>
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Explanation:
The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.
So angle RMI = 106 is bisected, i.e. divided in half, to get
- Angle RMN = 53
- Angle NMI = 53
since 106/2 = 53
Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,
angle RMJ = (angle NMJ) - (angle RMN)
angle RMJ = 90 - 53
angle RMJ = 37 degrees
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In short: divide 106 in half to get 53, then subtract it from 90
(x + 1) x (x - 4). When you check it you will get your original expression.
Answer:
D. $16.42
Step-by-step explanation:
In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.
To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.
199.99 * 0.0825 = 16.499175
This number is closest to $16.42, so D is the correct answer.
