The variable can be g for games being bowled and the expression is 25g
Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
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<em>Check</em>
The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)
So basically you are going to line up your equations (already done). Next, you will just add each term. So x + 3x = 4x, then 2y - 2y = 0 (we wouldn't put anything) then 7 - 3 = 4
So then we have all of our terms figured out and will have 4x = 4 then divide 4x by 4 to get x alone and then you will also divide the four that is by itself by four to equal one. So, your answer is x = 1. I hope that helps!
Answer:
20
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
21^2 + b^2 = 29^2
441 + b^2 = 841
Subtract 441 on both sides to get b^2 = 400
Take the square root of both sides to get b = 20
Right angle: a^2 + b^2 = c^2
c = longest side which is 26
a = 10
Now plug it in to find b
10^2 + b^2 = 26^2
100 + b^2 = 676
b^2 = 576
b = squareroot of 576 = 24
Solution: 24
