The three little lines through the sides of the triangle mean all three sides are equal. Because all three sides are equal the three inside angles would aso be equal.
The three angles of a triangle need to equal 180, so we can divide 180 by 3 to find what each angle is:
180 / 3 = 60.
Now we can set the equation with x in it to equal 60:
7x +4 = 60
Subtract 4 from each side:
7x = 56
Divide each side by 7:
x = 56 / 7
x = 8
Answer: SOH CAH TOA Tan C= 11/22= 1/2 So Tan C= 1/2
Sin B= x/17
Step-by-step explanation:
SOH CAH TOA = S=o/h C=a/h T=o/a.
I love trig ratios!
Hope this helped.
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
7 choose 2 or
=7! / (7-2)!
=7*6*5*4*3*2*1 / 5*4*3*2*1
=7*6
=42
Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.