Answer:
x = 4
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is
= 
, thus
= 
( cross- multiply )
2(10 - x) = 3x ← distribute left side
20 - 2x = 3x ( subtract 3x from both sides )
20 - 5x = 0 ( subtract 20 from both sides )
- 5x = - 20 ( divide both sides by - 5 )
x = 4
7 1/4 + 5 3/5
First, you need a common denominator to add the two. 20 will work.
4x5=20, so we have to also multiply 1 by 5.
4x5=20, 1x5=5
5x4=20, so we have to also multiply 3 by 4.
5x4=20, 3x4=12
And now we put the fractions back in.
7 5/20 + 5 12/20
And add them.
7 5/20 + 5 12/20 = 12 17/20
Now, we're supposed to reduce it to its lowest form.
Unfortunately, the fraction cannot be reduced, because 17 is a prime number, meaning there are no factors to it except one and itself.
Therefore, the lowest form of 12 17/20 is 12 17/20
Your answer is B, 12 17/20
The answer is 12 because it’s a circle and that dot in the middle is the radius. so the radius is 6 which mean the diameter is 2x that making it 12
2 tens, 4 ones, 3 tenths, 5 hundredths, 7 thousandths
As it has been given that 
, 
.
We need to find the value of the following:
(i) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(ii) 
, substituting the value of 'x' and 'y' in the expression, we get:
So, 
(iii) 
, we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,
Using the distributive property of multiplication:
Now, we know that 
We get, 
Therefore, =
.
(iv) We have, 
, we need to substitute the value of 'x' and 'y' in the expression, we get:
Again, we can use distributive property of multiplication that says,
So,
since, 
we get,
Therefore,
