The line $y = 10x - 45$ is already written in the $y = mx+q$ form. This means that $m$ is the slope. If two lines are perpendicular, their slopes are the anti-inverse of each other, i.e. their product is -1.

So, our perpendicular line has a slope of $-\frac{1}{10}$

Finally, we want a line passing through (1,1) with slope $-\frac{1}{10}$ :

$y-1 = -\dfrac{1}{10}(x-1) \iff y = -\dfrac{x}{10} + \dfrac{1}{10}+1 = -\dfrac{x}{10} + \dfrac{11}{10}$

7 0

3 years ago

270 is 90% of what number?

kakasveta [241]

$90\% \ of \ x =270 \\\\ \frac{90}{100}*x=270 \\\\ \frac{9}{10}=\frac{270}{x} \\\\ x=\frac{10*270}{9} \\\\ x=10*30 \\\\ \boxed{x=300}$

6 0

3 years ago

John and O’Neill are playing a boardgame in which they roll to number cubes. John needs to get some of a on the number cubes to

Pani-rosa [81]

Answer: John is most likely to win.

Step-by-step explanation: John is most likely to win because he can roll the following numbers:

2,6

3,5

4,4

5,3

6,2

Oh Neil Can only roll these numbers

5,6

6,5

So John would most Likely win

6 0

2 years ago

Determine whether the triangles are congruent. Explain your reasoning .

lapo4ka [179]

Yes because of ASA
Angel MLX =angel JLM
JLM =90
They share a side (included ) so it is ASA

4 0

2 years ago