Can someone answer this question please

Mathematics

2 answers:

katrin2010 [14]3 years ago

7 0

The sum of all angles in a triangle is equal to 180°, so....
Equation 1:
(3y-20)+2y+(x+13)=180
5y+x-7=180
x=187-5y

A straight line angle is 180°, so....
Equation 2:
2y+3x+9=180

Substitute x=187-5y into Equation 2:
2y+3(187-5y)+9=180
2y+561-15y+9=180
-13y=-390
y=30

Substitute y=30 into Equation 1:
x=187-5y
=187-5(30)
=37

Answer: x=37°

Anton [14]3 years ago

3 0

Answer: C

Step-by-step explanation:

(x + 13) + (3y - 20) + (2y) = 180 and (2y) + (3x + 9) = 180

so (x + 13) + (3y - 20) + (2y) = (2y) + (3x + 9)

⇒ x + 13 + 3y - 20 = 3x + 9

⇒ x + 3y - 7 = 3x + 9

⇒ 3y = 2x + 16

⇒ y = $\frac{2x+16}{3}$

(2y) + (3x + 9) = 180

2 $(\frac{2x+16}{3})$ + 3x + 9 = 180

$\frac{4x+32}{3}$ + 3x = 171

4x + 32 + 9x = 513

13x = 481

x = 37

You might be interested in

write a slope intercept equation for a line passing through the point (2,-2) that is parallel and perpendicular to the line x=-1

vekshin1

You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:

Parallel: x = 2

Perpendicular: y = -2

In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.

Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.

5 0

3 years ago

Does the equation x^2+y=144 define y as a function of x?

11Alexandr11 [23.1K]

The given equation is

$x^2 + y = 144$