As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies
The answer is 240
Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.
First we will find LCM for first two numbers ( 16 and24 ).
Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.
Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )
Step 3: Divide the 384 with 8. (384/8 = 48)
So, the LCM of 16 and 24 is 48.
Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.
The result of this part is 240
The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.
The answer would be x = 180 - (67 + 52)
33/7 is an improper fraction.
To make it a mixed fraction, do this:-
How many times does 7 go into 33?
About 4 times.
4*7 = 28
4 is our whole number.
Now, subtract to get the numerator.
33-28 = 5
4 5/7
Final answer: 4 5/7
Answer:
31 feet
Step-by-step explanation:
Given: The length of ladder, leaned against wall= 32 foot
The base of ladder is 8 feet away from wall
Adjacent= 8 feet and Hypotenuse= 32 foot
we need to find height of wall till the ladder reach (Opposite).
We will use Pythagorean theorem; 
⇒
⇒
subtracting both side by 64
⇒ 
⇒
≅ 31 ft
∴ 31 ft high up the wall.
