PLEASE HELP WILL GIVE YOU ALL MY POINTS In the picture, t || s, mz1 = 10x + 2, and mz2 = 12x - 22. Find the measure of angle 2.
2 answers:
Answer:
Step-by-step explanation:
From the figure,
<h3>∠1 = ∠2 </h3>- (Alternate angles are equal)
<u>We know that:</u>
- ∠1 = 10x + 2
- ∠2 = 12x - 22
So,
<h3>10x + 2 = 12x - 22</h3>Add 22 to both sides
10x + 2 + 22 = 12x
10x + 24 = 12x
Subtract 10x to both sides
24 = 12x - 10x
24 = 2x
Divide 2 to both sides
12 = x
OR
<h3>x = 12</h3>Given that,
∠2 = 12x - 22
Put x = 12
∠2 = 12(12) - 22
∠2 = 144 - 22
<h3>∠2 = 122°</h3>Answer: 122°
Step-by-step explanation:
∠1 an ∠2 are alternate interior angles, which are angles that are <u>inside</u> both parentheses and are on <u>alternate sides</u> of the transversal. The Alternate Interior Angles Theorem states that <u>if two lines are parallel and cut by a transversal, then the alternate interior angles formed are congruent</u>.
Since the lines are parallel as given in the question, ∠1 and ∠2 are of equal measure. We can solve for ∠2 by first solving for x, then plugging it in ∠2's measure.
Putting x in the expression 12x-22, we get
Hence, the value of ∠2 is 122°.
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Solving for y and using the inverse sin gives you that y = 53.12
If you are not familiar with setting up the Law of Sines, nothing I could tell you here would help. If you are familiar, then you get the idea of where the numbers came from and why they are set up that way. Hope that helps. That second part was quite hard.
Answer:
A. 7 centimetres and 25 centimetres
Step-by-step explanation:
To see if the lengths make a triangle, use the Pythagorean theorem. Insert the biggest value as c (the hypotenuse, which is always the longest side in a right triangle). If both sides equal each other, it is a right triangle:
A.
This is a right triangle.
B.
Not a right triangle.
C.
Not a right triangle.
D.
Not a right triangle.
Done :D