Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
Cosine again. Yay.
Put 36 into a fancy calculator with one of those cos() things. You get about 0.81.
So that's the ratio between x and 10.
So basically x/10 = 0.81, or 0.81 * 10 = x.
8.1 = x
Answer:
12k=84
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
If you mean as an equation, it would be 12k=84
(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥
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Proportional:
82.8 / 92 = 0.9
73.8 / 82 = 0.9
so
FG / 47 = 0.9
FG = 47 * 0.9
FG = 42.3
answer
The distance between 2 campsites is 42.3 m.
Answer:
basically multiplication, (that quantity) times 5
Step-by-step explanation:
