Answer:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
Answer:
The Total amount of of 33 boxes of chocolates including taxes is $838.358
Step-by-step explanation:
Given as :
The sales tax rate for city = 4.306%
The sales tax rate for the state = 44%
Total number of boxes = 33
The price of each chocolates = $17.13
So , The price of 33 boxes of chocolates = $17.13 × 33
I.e The price of 33 boxes of chocolates = $565.29
Now total tax including state and city = 4.306% + 44% = 48.306 %
So, The tax amount paid for 33 boxes of chocolates = 48.306 % of $565.29
∴ The tax amount paid for 33 boxes of chocolates = 48.306 % × $565.29
= 0.48306× $565.29
= $273.068
∴ The Total amount of of 33 boxes of chocolates including taxes = $565.29 + $273.068 = $838.358
Hence The Total amount of of 33 boxes of chocolates including taxes is $838.358 . Answer
Answer:
volume = 150.9m³
Step-by-step explanation:
in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h
v = πr²h
given that
height = 3meters
radius = 4meters
volume=?
going by the formulae v= πr²h
v = π × (4)² × 3
v = π × 16 ×3
v= 48πm³
note the value of π = 22/7
v = 48 × 22/7
v = 1056/7
v= 150.87m³
therefore the volume of the cylinder to the nearest tenth place is 150.9m³
Answer:
slope = y = 1/2
y-intercept = b = -3
Step-by-step explanation:
slope intercept equation:
y = mx + b----->(equation 1)
m is slope
b is y-intercept
y = 1/2x - 3----->(equation 2)
Compare (equation 1) and (equation 1)
slope = y = 1/2
y-intercept = b = -3
