Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.
Isolating variable terms, we get
Therefore, the value of x is equal to 4.
Answer:
Simplify the denominator.
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x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
x
2
−
5
x
+
6
Factor
x
2
−
5
x
+
6
using the AC method.
Tap for more steps...
x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
(
x
−
3
)
(
x
−
2
)
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
(
x
+
3
)
(
x
−
3
)
,
(
x
−
3
)
(
x
−
2
)
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number
1
is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of
1
,
1
is the result of multiplying all prime factors the greatest number of times they occur in either number.
1
The factor for
x
+
3
is
x
+
3
itself.
(
x
+
3
)
=
x
+
3
(
x
+
3
)
occurs
1
time.
The factor for
x
−
3
is
x
−
3
itself.
(
x
−
3
)
=
x
−
3
(
x
−
3
)
occurs
1
time.
The factor for
x
−
2
is
x
−
2
itself.
(
x
−
2
)
=
x
−
2
(
x
−
2
)
occurs
1
time.
The LCM of
x
+
3
,
x
−
3
,
x
−
3
,
x
−
2
is the result of multiplying all factors the greatest number of times they occur in either term.
(
x
+
3
)
(
x
−
3
)
(
x
−
2
)
Step-by-step explanation:
there does that help
Answer:
Pronoun
A pronoun is a word used to stand for a noun
Answer:
The equation would be y = 3/2x - 1
Step-by-step explanation:
To find the answer in slope-intercept form, simply solve for y.
4x-4y/2=x+2 ----> Subtract 4x from both sides
-4y/2=-3x+2 ----> Multiply both sides by 2
-4y = -6x + 4 -----> Divide by -4
y = 3/2x - 1
Answer:
Graph is attached below.
Step-by-step explanation:
If you want to solve for the variable x,
x = −4 / 5y + 7 / 5
