Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
about 37.7 feet
Step-by-step explanation:
If the outside wheels are turning twice as fast, they go twice the distance in the same time. The distance they travel is proportional to the radius of the circle, so the outside circle must have twice the radius of the inside circle.
Adding 6 ft to the radius of the inside circle doubles the radius, so the inside circle's radius must be 6 feet. Then the circumference of the inside circle is ...
C = 2πr = 2π(6 ft) = 12π ft ≈ 37.7 ft
Answer:
r = 7 q - 34
Step-by-step explanation:
Solve for r:
-34 + 7 q - r = 0
Subtract 7 q - 34 from both sides:
-r = 34 - 7 q
Multiply both sides by -1:
Answer: r = 7 q - 34
So, first what we should do is divide 2,046 by 62 to find the width of Lucas's banner.
2,046 / 62 = 33 The width of Lucas's banner is 33 cm.
Which means if the width of Emily's banner is 3x that:
3 x 33 = 99 Emily's banner is 99 cm in width.
So, your 2 answers are: 99 cm, division and multiplication. ;)
Answer:
A is your answer.
Step-by-step explanation:
