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2 years ago

PLEASE HELP! i’ll mark brainliest if you’re correct!

Mathematics

1 answer:

Jobisdone [24]2 years ago

6 0

Answer:

y = 5

Step-by-step explanation:

Since this is an isosceles triangle, Angle B and Angle C are equivalent. We can use this to find x

3x = 75

x = 25

Angles in a triangle add up to 180, so knowing the measure of Angle B and Angle C, we can find the measure of Angle A

Angle A = 180-(75+75)

Angle A = 180-150

Angle A = 30

We know Angle A = 4y+10

4y + 10 = 30

4y = 20

y = 5

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Consider the line y = -7x+6.

frosja888 [35]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following equation:

$y = -7x + 6$

With slope $m_ {1} = - 7$

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:

$y = -7x + b$

We replace the point (5,5) through which the line passes and find "b":

$5 = -7 (5) + b\\5 = -35 + b\\5 + 35 = b\\b = 40$

Finally, the equation is:

$y = -7x + 40$

On the other hand, if two lines are perpendicular then the product of their slopes is -1. Thus, the slope of a perpendicular line will be:

$m_ {2} = \frac {-1} {m_ {1}} = \frac {-1} {- 7} = \frac {1} {7}$

Thus, the equation is of the form:

$y = \frac {1} {7} x + b$

We substitute the point (5, -5) through which the line passes and find "b":

$-5 = \frac {1} {7} (5) + b\\-5 = \frac {5} {7} + b\\-5- \frac {5} {7} = b\\b = \frac {-35-5} {7}\\b = \frac {-40} {7}\\b = - \frac {40} {7}\\$

Finally, the equation is:

$y = \frac {1} {7} x- \frac {40} {7}$

Answer: $y = -7x + 40\\y = \frac {1} {7} x- \frac {40} {7}$

4 0

3 years ago

Solve for x. 2x2 − 4x = 0 A. 0, -4 B. 0, -2 C. 0, 2 D. 2, 4

Tatiana [17]

The answer is 0,-2 so B

3 0

3 years ago

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Let a=3 and b=−2. Complete the statement using <, >, or =.

Masja [62]

Answer:

a > b

Step-by-step explanation:

3 > -2

a > b

3 0

3 years ago

Which percent is equivalent to 2.5?

Elan Coil [88]

To convert a decimal to a percentage, you move the decimal place two spaces to the right.

2.5 would become 250%.

I hope this helps!

8 0

3 years ago

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Please help me !!

xxTIMURxx [149]

Answer:

(0, 12 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (- 5, - 3)

m = $\frac{-3-3}{-5+3}$ = $\frac{-6}{-2}$ = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 3 ), then

3 = - 9 + c ⇒ c = 3 + 9 = 12 ← y- intercept

Thus the line crosses the y- axis at (0, 12 )

4 0

3 years ago

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