2 opposite interior angle (opposite to the exterior angle) added together are equal to the exterior angle
6x-1+85 = 18x
6x +84 = 18x
subtract 6x from both sides
84 = 12x
divide both sides by 12
x = 7
<em>hope this helps! </em>
Answer:
2, 690, 000, 000
Step-by-step explanation:
Hope thus will help you
Answer:
m = -3 and b = -3
Step-by-step explanation:
No solution at all when you graph the two equations
Answer:
BM = 30 cm, DL = 42 cm
Step-by-step explanation:
The area of the parallelogram = 1470 cm², AB = 35 cm, AD = 49 cm, DL and BM are the heights on sides AB and AD.
area of the parallelogram = base × height = AD × height of AD = AD × BM
⇒ 1470 cm² = 49 cm × BM
BM = 1470 cm² / 49 cm = 30 cm
BM = 30 cm
Also:
area of the parallelogram = base × height = AB × height of AB = AB × DL
⇒ 1470 cm² = 35 cm × DL
DL = 1470 cm² / 35 cm = 42 cm
DL = 42 cm
Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square
Given
x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )
x² - 8x + y² - 2y = 8
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1
(x - 4)² + (y - 1)² = 25 → B
