With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.
FH is one diagonal that is split into two equal pieces by the other diagonal EG.
The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH
By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH
Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)
and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8
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Answer: x = 8
From the information provided by the statement, you know that
*Ann draws 2/16 of the playground
*Susan draws 6/16 of the playground because she draws 3 times as much as Ann so
*Louise draws 3/16 because she draws half as much as Susan, so
*Sam draws 2/16 because she draws 1 less section than Louise
Now, let x be the fraction of the playground that still needs to be drawn. Then, you have
Therefore, 3/16 of the playground still needs to be drawn.
Answer:
y = 
x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = 
= 
=
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = x + 1 ← equation of line
Step-by-step explanation:
let debbie be x years
let felix be 6x years
in 12 years felix will be 2x older than debbie
do the calc
Answer:
an=9+(n−1)3, an=3n+6
Step-by-step explanation:
Arithmetic Sequence:
d=3
This is the formula of an arithmetic sequence.
an=a1+d(n−1)
Step 1: Substitute in the values of
a1=9 and d=3.
an=9+(3)(n−1)
Step 2: Simplify each term.
an=9+3n−3
Step 3: Subtract 3 from 9.
an=3n+6
