Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Let us assume total capacity of the container = x pounds.
Container contains 1/6th coffee of total x pounds, that is x/6 pounds.
We also given that 1/6th part is equal to 2/3 of a pound.
So, we could setup an equation now.
x/6 pounds equals 2/3 of a pound.

Dividing both sides by 1/6, we get
÷
=
÷
.
Therefore, x =
÷
Division expression that represents the capacity of the container = 2/3 ÷ 1/6.
Answer:
The answer is B
Step-by-step explanation:
Answer:
His savings were of $4,200.
Step-by-step explanation:
Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:
This means that the son and daughter amount is:

As
is the remained that his son did not get. So

Fraction his wife got:

If his wife got $900, what were his savings?
Total savings are x, wife got
of x. So





His savings were of $4,200.
y-3=3(x+1)
opening the bracket
y-3=3x+3
y=3x+3+3
equation of the line in the form y=mx+c;
y=3x+6
therefore gradient=3
parallel lines have same gradient therefore gradient of the other line is 3
y--3/x-0=3
y+3=3(x-0)
y+3=3x-0
y=3x-3.