Answer:
720º
Step-by-step explanation:
We can use vertical angles to figure this out. We can see that each of the unmarked angles in the triangles is a vertical angle to an empty space. A full circle has the measure of 360º. We need half of that which is 180º.
The sum of the angle measures of a triangle is 180º. We have five triangles so the total angle meaure is 900º.
However, we need to subtract the 180º to get 720º.
we are given a function

First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as

Here, it is vertically stretch by 7
so, we get


Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as

Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get

.............Answer
Answer:
13x+12
Step-by-step explanation:
27x-14x=13
+12 because there is nothing else there
Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH
Answer:
Option C and D are correct.
Step-by-step explanation:
Area of rectangle = 144 cm^2
Width of rectangle = 9 cm
Length of rectangle = ?
We know,
Area of rectangle = Length * Width
144 = Length * 9
144/9 = Length
=> length = 16 cm
Option A is incorrect as 3 times width = 3* 9 = 27 but our length = 16 cm
Option B is incorrect as length = 16 cm and not 63 cm
Option C is correct as Length < 2(Width)
=> 16 < 2(9) => 16 < 18 which is true.
Option D is correct.
Perimeter = 2(Length + Width)
Perimeter = 2(16+9)
Perimeter = 50 cm
Option E is incorrect as Length ≠ Width