Answer: The answer is x = -10
Answer:segment YZ ≈ 19.4 inangle X ≈ 85.3°angle Z ≈ 26.7°Explanation:1) Given two side lenghts and one angle you can use sine law:

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

From which you can clear sinZ and get:
sinZ = 43 × sin(68) / 40 = 0.9967
⇒ Z = arcsine(0.9967) ≈ 85.36°
3) The third angle can be determined using 85.36° + 68° + X = 180°
⇒ X = 180° - 85.36° - 68° = 26.64°.
4) Finally, you can apply the law of sine to obtain the last missing length:

From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in
The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
It should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.
<h3>How to illustrate the information?</h3>
When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.
Therefore, it should be noted that angle 2 and angle 1 are vertical angles and angle 2 and angle 5 are linear pair.
Learn more about vertical angle on:
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Answer:
the answer to the first question is 9/27, 5/27, 13/27
the answer to the second question is 27/126, 33/126, 20/126, 42/126
the answer to the last question is 32/44
Step-by-step explanation:
they way you solve the fist two questions you just add the numbers up and that will tell you your probability.
for the last question you take the number of players and subtract it by 12 to get the top number
Step-by-step explanation:
Hey there!
The given slope is; 3. And passing through point (-7,8).
Now,
Using one point formula.

Put all values to find equation.

Simplify them to get answer.



Therefore the required equation is 3x-y+29=0.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>