Answer:
x= 10, y= 15
Step-by-step explanation:
because alternate interior angles are congruent
8x -10 = 7x
8x -7x = 10
x = 10
because straighht line form 180°
6y+20 +7x = 180
6y +20 +70 = 180
6y = 180 -90
y=90/6 = 30/2 = 15
Answer:
9
Step-by-step explanation:
Given
x² - 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 5 + 9, that is
(x - 3)² = 14
Answer:
See Below
Step-by-step explanation:
1) 180 ft / 6 sec
You can divide both the numerator and denominator by 6:
30 ft / 1 sec
2) 86 mi/5 hr
You can divide 86 by 5:
17.2 mi / hr
3) 83 mi / 5hr
Same as above ^
16.6 mi / hr --> 16.6 mph
4) 93 feet / 5 sec
Same as above ^^
18.6 ft/ 1 sec
5) 150 mi / 4 hr
Same as above ^^^
37.5 mi / 1 hr --> 37.5 mph
Answer:
227.75 cm
Step-by-step explanation:
a coin (Circle) with diameter 2.9cm
(radius) r = diameter ÷ 2
r = 2.9cm ÷ 2
r = 1.45cm
1 complete revolutions (perimeter or circumference of a circle ) = 2πr
= 2 × π × r
where r = radius, π is a constant = 22/7
= 2 × 22/7 × 1.45
= 9.11cm
thus in one complete revolution the coin travels a distance of 9.11cm.
therefore in 25 complete revolutions the coin will travel a distance of = 25 × 9.11 cm = 227.75 cm.
The distance covered in complete 25 revolutions of a coin with diameter of 2.9 when it's rolled is = 227.75 cm