Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; t
op, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees
1 answer:
Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.
Similarly,
According the the angle sum property, the sum of all angles of a triangle is 180 degrees.
Divide both sides by -5.
The value of x is 36.
Now,
Therefore, the values of x, y and z are 36, 67 and 77 respectively.
You might be interested in
Sally earns per hour = $12
Sally works for in a week = 16 hours.
So, Sally earns in a week =
Sally can save money each week= 20% of 192
A. How much does she earn each week ? Sally earns $192 in a week.
B. How much money will she save each week? Sally will save $38.40 each week.
C. How much money will she save each month (assume there are 4.3 weeks in a month)
Savings of 1 week = $ 38.40
Savings of 4.3 weeks =
Hence, she will save $165.12 in a month.
D. How many months will it take her to save the money?
Total money needed = $1800
Number of months needed to collect this amount =
Hence, it will take 11 months approx to save $1800.
<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>x on the interval [0, 2π)
<h3>Solution</h3>Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}
Answer:
Step-by-step explanation:
Please check below in the attached, you will see answer to given questions, thank you, I hope it helps.
