Part A:
Given that <span>the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then
50% of x = 1200
⇒ 0.5x = 1200
⇒ x = 1200 / 0.5 = 2400
Therefore, </span><span>the retail price of the mattress, before the discount is $2,400.
Part B:
Given that </span><span>the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then
(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.
Therefore, </span><span>the wholesale price, before the markup was $960</span>
Answer:
Step-by-step explanation:
<u>As per diagram:</u>
- ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
- m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles
<u>Find the measure of ∠YXZ:</u>
- m∠YXZ = 180° - 2*63° = 54°
<u>Find the bearing of Z from X:</u>
- m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We know that:</u>
- x = y
- 2(70 + 60) + x + y = 360
<u>Work:</u>
- 2(130) + x + x = 360
- => 260 + 2x = 360
- => 2x = 360 - 260
- => 2x = 100
- => x = 50
Hence, <u>the value of x is 50°.</u>
Hoped this helped.
Answer:
So since the 2 angles are congruent they will be the same.
Step-by-step explanation:
So since the 2 angles are congruent they will be the same. So for example, if I have a triangle and angle 60 and two congruent angles it will be 60 + 2x =180. I congruent angle will be x then 2 of that is 2x. Angles in a triangle always sum up to 180.
The disk spins at a constant number of revolutions per second. This means, the angular velocity is constant.
We know that,
Linear velocity = r x Angular Velocity
where r is the radius.
So, for a given angular velocity, larger value of r will have larger Linear velocity. Since the value of r at point B is more than at point A, the value of Linear velocity will be more at point B.
So, the correct answer is option C
