Answer:
Step-by-step explanation:
So 30% of the a number is 8.
Lets call this number x
So we write this down as 30/100 of X=8
by cross multiplying you get X=26.67
So 90/100 of 26.67=24.003
You can choose to write both your answers as fractions if you are not allowed to use decimals!
Answer:
Smaller number = 12
Larger number = 24
Step-by-step explanation:
Let's call X the smallest number, while Y is the largest number.
In this case, Y = 2X
The equation that represents the given case is,
X + Y = 36
But being Y = 2X we substitute in the equation, obtaining ...
X + 2X = 36
Now we add the X ...
3X = 36
We isolate the X to know its value ...
X = 12
Now we calculate the value of Y ...
Y = 2X
Y = 2 (12)
Y = 24
Smaller number = 12
Larger number = 24
Both conditions are met:
(1) The largest number is twice the smallest number: 12 * 2 = 24
(2) The sum of the two numbers is 36: 12 + 24 = 36
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Hope this helps!
Angles in a triangle may or may not be congruent.
The values of x and y are 90 and 47, respectively.
From the figure, we have:
This means that, angle x is a right-angle.
So, we have:
Triangle ABC is an isosceles triangle.
So, we have:
The measure of y is then calculated as:
--- sum of angles in a triangle
This gives
Subtract 137 from both sides
Hence, the values of x and y are 90 and 47, respectively.
Read more about triangles at:
Applying the properties of Isosceles triangle and the sum of triangle theorem, the values of x and y in the image given are:
Recall the properties of Isosceles Triangle:
An isosceles triangle has equal base angles an two equal legs that are opposite the base angles.
Triangle ABC is an isosceles triangle.
m<ACD = m<ABD = 47 degrees
Find y:
y = 1/2(180 - (47 + 47))
y = 43 degrees.
Find x:
x = 180 - (y + m<ABD)
x = 180 - (43 + 47) (sum of triangle)
x = 90 degrees
Therefore, applying the properties of Isosceles triangle and the sum of triangle theorem, the values of x and y in the image given are:
Learn more here:
Answer:
Mr Juan is 48 years old and Eric is 16 years old
Step-by-step explanation:
let Eric's age be x, then his father is 3x ( three times as old as Eric )
the sum of their ages is 64 , that is
x + 3x = 64 ( simplify left side )
4x = 64 ( divide both sides by 4 )
x = , that is
x = 16
and 3x = 3 × 16 = 48
Mr Juan is 48 and Eric is 16