Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
Answer:
1560.38
Step-by-step explanation:
As far as I know, a sales tax is never calculated until money changes hands. So the rebate is the first amount to take place.
1560 - 100 = 1460
Now if the purchaser agrees to this amount and does anything to pay partially or in full, the tax is added.
Total Cost = 1460 * (1.06875)
Total Cost = 1560.38
Edit
You have to be very careful when you use a term like rebate. Rebate is a very special kind of discount. Your purchase has to qualify for a rebate. Apparently this one does. If you are willing to spend 1560 on something, the merchant selling the product offers you a rebate to help you decide.
If the TV cost is 1200 you may not get the rebate.
Answer: £18
Step-by-step explanation:
let Bridget get £x,
Stephen gets 3x, Richard gets 2(3x)
Equation is x + 3x + 6x = 60
10x = 60: x = 60/40 = 6
Bridget gets £6
Stephen gets 3x = 3 x 6 = £18
Richard gets 2(3x) = 2 x 18 = £36
