Answer:
x = 15°
Step-by-step explanation:
<em><u>The segment is a diameter, So let us assume the part in which there lies the triangle as a semicircle.</u></em>
=> <em>A triangle inscribed in a semi-circle will always have one of its angle equal to 90</em>
=> <em>So the angle (not 75 and x) is 90 degrees.</em>
<em>=> To find the value of x, we'll subtract rest of the angles from 180 degrees (because the interior angles of a triangle add up to 180°)</em>
<em>So,</em>
=> x = 180-90-75
=> x = 15°
2(3x + 5) (x - 1)
This is done through factoring 2 out of the equation first...
2(3x^2 + 2x -5)
And then cross multiplying it
X + 4y = 3 x = -4y + 3
2x - 3y = 17
2(-4y + 3) - 3y = 17
-8y + 6 - 3y = 17
-11y + 6 = 17
-11y = 11
y = -1
x = -4(-1) + 3
x = 4 + 3
x = 7
(7, -1) is your answer
Answer: 130°
Step-by-step explanation:
supplementary angle: ∠A+∠B=180°
x+(2x+30)=180
x+2x+30=180
3x+30=180
3x=150
x=50
2(50)+30=100+30=130°
Hope this helps!! :)
Please let me know if you have any question