Answer: d=70; f=45; e=65
Step-by-step explanation:
NUMBER 1 WAY
110+d=180
d=70
135+f=180
f=45
d+f+e=180
70+45+e=180
e=65
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NUMBER 2 WAY
concept to know: exterior angle theorem
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System of equation
d+e=135
f+e=110
d+e+f=180
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d=135-e
f=110-e
-------------------------
d+e+f=180
(135-e)+e+(110-e)=180
135-e+e+110-e=180
245-e=180
e=65
-----------------------
d=70
e=65
f=45
Ok. You can use equations to find out what number of each meal was eaten.
x*14+y*17=99
If you solve for x and y (I used guess and check- there's only a few possible combinations) and got one chicken dinner and five steak dinners.
Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle
Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a
Explanation of problem:
sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that
since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

x = sin^-1 (16cm/28cm)
Answer:
x = 34.84990458°
I don't know how far rounded you'll need it
I hope this helped!
Answer:
1488 sandwiches in thirty minutes
Step-by-step explanation:
Answer:
Each algebra book costs $60.
Step-by-step explanation:
A=bill for algebra books; S=bill for science books=A+$360
S+A=$3960 Substitute for S
A+$360+A=$3960 Subtract $360 from each side.
2A=$3600 Divide each side by 2.
A=$1800 The order for 30 algebra books cost $1800.
Individual book=A/30
individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.