Answer:
your answer
Step-by-step explanation:
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The value of x is 9.
Solution:
Proportionality theorem:
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
In the given triangle, the middle line is parallel to the base, so the sides are in the same ratio.
Do cross multiplication.
⇒ 9 × 56 = 72(3x – 20)
⇒ 504 = 216 x – 1440
Add 1440 on both sides of the equation.
⇒ 1944 = 216 x
Divide by 216 on both sides of the equation.
⇒ 9 = x
Switch the sides.
⇒ x = 9
The value of x is 9.
Answer:
x = -10
Step-by-step explanation:
3(x+1) +5 = 2x -2
<em>Distribute the 3 to the x+1</em>
3x+3 +5 = 2x -2
<em>Combine like terms</em>
3x + 8 = 2x -2
<em>Subtract 2x from both sides</em>
x + 8 = -2
<em>Subtract 8 from both sides</em>
x = -10
Hope this helps!
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
6
2
−
5
−
4
=
0
6x^{2}-5x-4=0
6x2−5x−4=0
=
6
a={\color{#c92786}{6}}
a=6
=
−
5
b={\color{#e8710a}{-5}}
b=−5
=
−
4
c={\color{#129eaf}{-4}}
c=−4
=
−
(
−
5
)
±
(
−
5
)
2
−
4
⋅
6
(
−
4
)
√
2
⋅
6
Step-by-step explanation:
The answer is C
Hope this helps!!