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3 years ago

Solve for x and y. Then find the measure of each angle.

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

x= 42

y= 23

Step-by-step explanation:

Set up a system of equations like this:

(4y-9)=(3x-43)

(2x+13)=(4y+5)

when two lines cross like this they form vertical angles, and vertical angles are always equal.

calculate the system of equations and you'll get x=42 and y=23

To find the measure of any of the angles just put x or y into the equation.

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2 years ago

Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l

marta [7]

Answer:

$\begin{gathered} y=\frac{9}{6}x-9 \\ l=\frac{P}{2}-w \end{gathered}$

Step-by-step explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

$\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=\frac{9}{6}x-\frac{54}{6} \\ y=\frac{9}{6}x-9 \end{gathered}$ $\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=\frac{P}{2}-\frac{2}{2}w \\ l=\frac{P}{2}-w \end{gathered}$

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11 months ago

In what form is the following linear equation written v=9x+2

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3 years ago

Write the slope-intercept form of the equation of the line; (-5,-4) and prep. To y equals 5x plus 1

ohaa [14]

Answer:

$y=-\frac{1}{5} x-5$

Step-by-step explanation:

The given line is defined by: $y=5x+1$ , where we see that the slope is 5 and the y-intercept 1.

In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.

"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: $\frac{1}{5}$ .

We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

$y=-\frac{1}{5} x+b$

we require then that when $x=-5$ , the value of $y=-4$ .

Therefore: $-4=-\frac{1}{5} (-5)+b\\-4=\frac{5}{5} +b\\-4=1+b\\b=-4-1=-5$

Then our final answer is that the new line should have the form: $y=-\frac{1}{5} x-5$

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