A vertical line has an undefined slope.
vertical lines are X= something
in this case it needs to intercept 9.
so it is X=9
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
Answer:
Rolling a six-sided die and flipping a coin: The sample space is 6 • 3or 18 equally likely outcomes
Step-by-step explanation:
mark me brainliest!!
Answer:
x = 
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = 
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = | 
| =
right side = 
- 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = | 
| =
right side = 
- 5 = -
right side ≠ left sides, hence not a solution
<h2><u><em>Answer: meters.
</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>Step-by-step explanation: Let L be the length of the rectangle. We have been given that the rectangle has an area of square meters and a width of meters. Since we know that area of a rectangle is the product of its length and width. To find the length of our given rectangle we will divide the area of the rectangle by the width of our rectangle. Let us factor out our numerator by splitting the middle term. Upon canceling out x-7 from numerator and denominator we will get, Therefore, the length of our rectangle will be metered.</em></u></h2>
