Answer:
9 1/3
Step-by-step explanation:
Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.
2/3 gets multiplied by 2/2
1/2 gets multiplied by 3/3
1/6 stays the same
2/3 becomes 4/6
1/2 becomes 3/6
1/6 stays 1/6
Follow the order of operations from the original equation.
4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6
6 - 1 = 5 then 5 + 4 = 9
Simplify 2/6 to 1/3
Remember to add 1/3 back to 9 making it 9 1/3
<h3>
Answer: angle T = angle W</h3>
Explanation:
We are given the sides are congruent due to the tickmarks. Specifically
TU = WV (single tickmarks)
TV = WX (double tickmarks)
So we just need the "A" of "SAS". The A is between the two S letters, so the angle is between the two sides. For triangle TUV, the angle T is between the two sides with the tickmarks. Similarly, angle W is between the tickmarked sides of triangle WVX.
If we know that angle T = angle W, then we have enough information to use SAS.
X = 12
Use the Pythagorean Theorem.
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtract 25 from both sides.
144 = x^2
Take the square root.
12 = x
Cos = adjacent over hypotenuse
cos33 = b/170
170cos33 = b
b = 142.574 inches
