Answer: angle 4 and angle 5
Answer:
4
5
Step-by-step explanation:
Answer:
option H, 130°
Step-by-step explanation:
In order to find the measure of ∠ACD, first find the measure of ∠ACB
∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)
∠ACB + 95° + 35° = 180°
∠ACB + 130° = 180°
∠ACB = 180° - 130°
∠ACB = 50°
∠ACD + ∠ACB = 180° (linear pair)
∠ACD + 50° = 180°
∠ACD = 180° - 50°
∠ACD = 130°
therefore, option H is the correct option
hope it helps you!
Answer:
x=6, 90 degree angle total?
Step-by-step explanation:
Hopefully this is a 90 degree angle, 90-60=30
30/5=6
x=6
Answer:
140 x 180
Step-by-step explanation:
To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse.
To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse. In a straight angle, the two legs are equal, so the equation simplifies to A = 2A. Therefore, the measure of the unknown angle is twice the measure of one of the legs
Step-by-step explanation:
These are all examples of p-series:
∑(1 / nᵖ), where p>0.
If p > 1, the series converges. If 0 < p ≤ 1, the series diverges.
First option:
∑(1/n⁵)
Here, p = 5. Since 5 > 1, the series converges.
Second option:
∑((√n+3)/n³)
∑((√n)/n³) + ∑(3/n³)
∑(1/n^2.5) + 3 ∑(1/n³)
In the first sum, p = 2.5. In the second sum, p = 3. Both are greater than 1, so the series converges.
Third option:
∑((n−4)/(n⁴√n))
∑(1/(n³√n)) − ∑(4/(n⁴√n))
∑(1/n^3.5) − 4 ∑(1/n^4.5)
In the first sum, p = 3.5. In the second sum, p = 4.5. Both are greater than 1, so the series converges.
Fourth option:
∑(1/∛n)
∑(1/n^⅓)
Here, p = ⅓. This is less than 1, so the series diverges.
Note: if a series is converging, then the limit is 0.
However, if the limit of a series is 0, it does not necessarily mean that series is converging.
Here, the limit of all 4 options is 0. However, the fourth option is a diverging series.