7: since they went down further you go further from zero: -28-40=-68 or D.
8: they lost 6 and then 8 so 6+8=14 but they lost them so -14 or A :)
Answer:
28
Step-by-step explanation:
all adds up to 180 degrees
so 4x+3+2x+9=180
=6x+12=180
6x=168
x=28
Answer:
you should buy 2.5 okay that is more cheaper then the other ones
Step-by-step explanation:
Option a:
is the length of b
Explanation:
The angle of B is
and ![a=10 \ m](https://tex.z-dn.net/?f=a%3D10%20%5C%20m)
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
![\angle A+\angle B+\angle C=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%2B%5Cangle%20B%2B%5Cangle%20C%3D180%5E%7B%5Ccirc%7D)
![\angle A+60^{\circ}+90^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%2B60%5E%7B%5Ccirc%7D%2B90%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\angle A+150^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%2B150%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\angle A=30^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D30%5E%7B%5Ccirc%7D)
Thus, the angle of A is ![\angle A=30^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D30%5E%7B%5Ccirc%7D)
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
![\frac{a}{\sin A}=\frac{b}{\sin B}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B%5Csin%20A%7D%3D%5Cfrac%7Bb%7D%7B%5Csin%20B%7D)
where
,
, ![\angle B=60^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20B%3D60%5E%7B%5Ccirc%7D)
Thus, we have,
![\frac{10}{\sin 30}=\frac{b}{\sin 60}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B%5Csin%2030%7D%3D%5Cfrac%7Bb%7D%7B%5Csin%2060%7D)
Simplifying, we get,
![\frac{10}{0.5}=\frac{b}{0.866}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B0.5%7D%3D%5Cfrac%7Bb%7D%7B0.866%7D)
Multiplying both sides by 0.866, we get,
![\frac{10\times0.866}{0.5}=b](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Ctimes0.866%7D%7B0.5%7D%3Db)
Multiplying the numerator, we have,
![\frac{8.66}{0.5}=b](https://tex.z-dn.net/?f=%5Cfrac%7B8.66%7D%7B0.5%7D%3Db)
Dividing, we get,
![17.32=b](https://tex.z-dn.net/?f=17.32%3Db)
Thus, the length of b is ![b=17.32 \ m](https://tex.z-dn.net/?f=b%3D17.32%20%5C%20m)
Hence, Option a is the correct answer.