For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

$\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}$

And we are done !!

#CarryOnLearning....

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3 0

3 years ago

Anthony has $11,600 in his account and earns $700 per month. He spends $8,000 on a car and has other expenses totaling $900 per

ExtremeBDS [4]

Answer:

216 Months

Step-by-step explanation:

First find how much money he looses per month: 0+700-8000= -7300 on the first month. So 11600-7300=4300.

Then, he starts loosing $200 dollars per month because 900-700=200.

So 4300/20=215. So 215+1=216 months before Anthony runs out of money.

7 0

3 years ago

Read 2 more answers

The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term

satela [25.4K]

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
y=a(x-(-4))^2-1\implies y=a(x+4)^2-1
\\\\\\
\textit{now, we also know that }
\begin{cases}
y=0\\
x=2
\end{cases}\implies \underline{0}=a(\underline{2}+4)^2-1$

solve for "a"

5 0

3 years ago

Solve for x xx: 7 x + 4 9 ∘ 7x+49 ​∘ ​​ 2 x + 9 4 ∘ 2x+94 ​∘ ​​

Solve for x xx: 7 x + 4 9 ∘ 7x+49 ∘ 2 x + 9 4 ∘ 2x+94 ∘