9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
Answer:
x= 52
Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?
Calculate standard Z values for the given data:-
z = (80 - 110) / 20 = - 3/2 = -1.5
and z = (115 - 110) / 20 = 0.25
so we need Prob ( -1.5 < z < 0.25)
Using standard tables this comes to 0.5319 Answer
It shows the Ora scale for area multiply width and length
Answer:
14/27 feet
Step-by-step explanation:
2 1/3 feet : 4 1/2 feet
= 7/3 : 9/2
= 7/3 ÷ 9/2
= 7/3 × 2/9
= (7*2)/(3*9)
= 14/27 feet
2 1/3 feet : 4 1/2 feet = 14/27 feet
