Answer:
x=13
Step-by-step explanation:
we can guess that the three angles are a linear pair and equal 180
in this case we can start writing a equation
x+105+62=180
now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.
x+167=180
now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer
180-167=13
so... x=13
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°
The munimum value is, at x = 3/10, y = 5 and 10x+3y/5 = 6.
<h3>
What are nonnegative real numbers?</h3>
- Non-negative real numbers are the set of positive real numbers that are bigger than 0 (zero).
- That is, the true values are either positive or negative.
- The collection will include numbers such as 0, 1, 2, 3, 4, 5, and so on.
To find the minimum value of 10x (3y/5):
Given - y = 3/(2x)
So, we want the bare minimum of,
- = 10x + 3/5 × 3/(2x)
- = 10x + 9/(10x)
Take the derivative to obtain:
When you set it to zero, you get:
- = 100x^2 - 9 = 0
- = (10x-3)(10x+3) = 0
- = x = ± 3/10
So, at x = 3/10, y = 5 and 10x + 3y/5 = 3 + 3 = 6.
Therefore, the munimum value is, at x = 3/10, y = 5 and 10x+3y/5 = 6.
Know more about nonnegative real numbers here:
brainly.com/question/26606859
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Step-by-step explanation:
Sequence 1:
term1=26
term2=26-3=23
term3=23-3=20
term4=20-3=17
term5=17-3=14
sequence2:
term1=-3
term2=-3+10=7
term3=7+10=17
term4=17+10=27
term5=27+10=37