Answer: 20 cm
To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**
Substitute in the values.
a² + b² = c²
12² + 16² = c²
Solve for c, the hypotenuse.
12² + 16² = c²
144 + 256 = c²
400 = c²
c = √400
c = 20
425 is decreased to 319.
The above statement means that a number should be deducted from 425 to get the difference of 319.
Let x be the unknown number.
425 - x = 319
425 - 319 = x
106 = x
106 is the unknown number.
It can be phrased like this: 425 decreased by 106 is 319.
Answer:
C
Step-by-step explanation:
so the y-int is where the point is on the y-axis (0,X). Or, in this situation-2.
for slope, you just need to do rise over run, or up and down first then, left and right. If I do that for C, I go 2 up and 3 right. So the slope os 2/3 (P.S. up and right is positive, and down and left is negative)
Set the 2x - 1 equal to 9 then work backwards. 2x - 1 = 9 Nine minus one is eight divided by two is four. X = 4
William is 17 years old and Charmaine is 14 years old.
Step-by-step explanation:
Let x be the age of William and y be the age of Charmaine
Then
William is 3 years, older than Charmine.
x = y+3 Eqn 1
The sum of 3 times Charmaine's age and 2 times William's age is 76.
2x+3y = 76 Eqn 2
Putting x = y+3 in Eqn 2
Hence,
William is 17 years old and Charmaine is 14 years old.
Keywords: Linear equations, Variables
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