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
= 39.84
:
100^2=251
10000=251
ℎ
251 ℎ
10000/251=251/251
39.84=1
39.84=
It is an acute triangle since all the sides are less than 90 degrees (it's also equilateral)
Answer:
The purchase price is $180
The total price is: $189
Step-by-step explanation:
Sales tax rate = 5\%
Sales tax on bike = $9
We need to find the purchase price.
Let purchase price = x
We know that Sales tax = 5% of x
and Total price = Purchase Price + Sales tax
So, we can write:
Sales tax = 5% of x
Putting values and finding x
![9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180](https://tex.z-dn.net/?f=9%20%3D5%5C%25%20%5C%3Aof%5C%3A%20x%5C%5C9%3D%5Cfrac%7B5%7D%7B100%7D%5C%3Aof%5C%3Ax%20%5C%5Cx%3D%20%5Cfrac%7B9%2A100%7D%7B5%7D%5C%5Cx%3D180)
So, the value of x i.e Purchase price = $180
The purchase price is $180
Now finding the total price of bicycle
Total price = Purchase Price + Sales tax
Total price = 180 + 9
Total price = $189
So, The total price is: $189
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