Answer:
y = -3x + 2
Step-by-step explanation:
To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2
First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)
x = 22/sin(67°) = 23.9
Use pythagorean theorem to find the last side.
a^2 + 22^2 = 23.9^2
a^2 + 484 = 571.21. Subtract each side by 484
a^2= 87.21. Take the square root of each side.
a = 9.3
x = 23.9 and the other side is 9.3
Answer:
10
Step-by-step explanation:
(15 x 40) / (15+40)
solve inside the parenthesis:
600/60
divide:
10
Answer:
see below
Step-by-step explanation:
The angle where chords cross is the average of the intercepted arcs. Here, that is ...
(37° +46°)/2 = (83°)/2 = 41.5°
Angle SUT is 41.5°.
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<em>Comment on the error</em>
The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.