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2 years ago

Each figure shows a triangle with one of its angle bisectors.

Mathematics

1 answer:

OLga [1]2 years ago

8 0

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

2x = 10

x = 10/2

x = 5

so m<2 = 4(5) -3 = 20-3 = 17 degrees

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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?

Anvisha [2.4K]

Answer:

$y=-\frac{3}{2}x-\frac{9}{2}$

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = $\frac{y_2-y_1}{x_2-x_1}$

m' = $\frac{1+1}{3-0}$

m' = $\frac{2}{3}$

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × $\frac{2}{3}$ = -1

m = $-\frac{3}{2}$

Equation of the perpendicular line will be,

$y=-\frac{3}{2}x+b$

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = $-\frac{3}{2}(-3)+b$

b = $-\frac{9}{2}=-4.5$

Equation of the line will be,

$y=-\frac{3}{2}x-\frac{9}{2}$

3 0

3 years ago

12/-4 =<br> pls help i don’t understand

Sveta_85 [38]

$\text {Hello! Let's Solve this equation!}$

$\text {Since there is a negative in the problem this tells us that the answer we get will be a negative.}$

$\text {Here are some tips on dividing/multiplying equations like this.}$

$\text {Multiplying/Dividing a Positive to a Positive will equal a Positive}\\\text {Multiplying/Dividing a Positive to a Negative will equal a Negative}\\\text {Multiply/Dividing a Negative to a Negative will equal a Positive}\\\text {Multiplying/Dividing a Negative to a Positive will equal a Negative}$