Supplimentary angles add upto 180 degrees.
Given that angle P is three times angle Q-4 then ;
Let angle P be 3(x-4) = 3x -12
Let angle Q be x
Applying the rule of supplimentary angles;
Divide both sides by 4 to get value of x in degrees
x= 48 degrees
Angle Q = 48 degrees
Angle P = 3x-12 = (3*48)-12 = 132 degrees
Answer:
200 actual miles
Step-by-step explanation:
Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.
50(4)
= 200
So, there are 200 actual miles between the two cities.
Pounds: 10 20 30
Kilos: 4.5 9 13.5
half of 20 is 10, and half of 9 is 4.5. So every 10 pounds is 4.5 kilos. Add 10 to 20 to get 30, and add 4.5 to 9 to get 13.5. Both parts of the ratio table are increasing at the same rate (either 10 eachtime or 4.5 each time).
Answer:
£365 is cheaper than €425.
Step-by-step explanation:
We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.
€425 or £365
£365 = €(365 * 1.14)
£365 = €416.10
€425 > €416.10
£365 is cheaper than €425.
Hey there! I'm happy to help!
The formula for the perimeter of a rectangle is 2L+2W=P where W is the width and L is the length. This is because we have our two sides that are lengths and our two sides that are widths (different values) and we add them together to see what the distance around the whole rectangle is.
So, let's insert these values into the equation.
2(2x+4)+2(x+8)=96
We use the distributive property to remove the parentheses (which is us multiplying our equations for length and width by two).
4x+8+2x+16=96
We combine the like terms.
6x+24=96
We subtract 24 from both sides.
6x=72
Divide both sides by 6.
x=12
Now that we have our value of x, we can plug it into our length and width equations to find those values.
LENGTH:
2x+4
2(12)+4
24+4
28
WIDTH:
x+8
12+8
20
So, our length is 28 and our width is 20.
Have a wonderful rest of your day and keep on learning! :D
