He has paid 22 500 meanign that he says more than the car cost
Answer:
![\displaystyle m\angle AED=32.5^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D32.5%5E%5Ccirc)
Step-by-step explanation:
<u>Angles in a Circle</u>
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:
![\displaystyle m\angle AED=\frac{AD-BC}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D%5Cfrac%7BAD-BC%7D%7B2%7D)
![\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D%5Cfrac%7B113%5E%5Ccirc-48%5E%5Ccirc%7D%7B2%7D%3D%5Cfrac%7B65%5E%5Ccirc%7D%7B2%7D)
![\displaystyle m\angle AED=32.5^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20AED%3D32.5%5E%5Ccirc)
flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means
⌊ 2.5 ⌋ = 2
⌊ 2.00000001 ⌋ = 2
⌊ 2.999999999999⌋ = 2
⌊ -2.0000000001⌋ = -3
⌊ -2.999999999999⌋ = -3
let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.
⌊ -5.2 ⌋ = -6.
Answer:
x = 11
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11