Since the angle is positive, you can find any coterminal angle by applying:
Angle + x = 2π ==> 7π/6 + x = 2π ==> x = 2π - 7π/6
x= 12π/6 -7π/6 = 5π/6
So the angle 5π/6 is the coterminal of 7π/6
Answer:
(A)Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
Step-by-step explanation:
- In the triangle, the exterior angle = p
- The adjacent interior angle =o
- The two opposite angles are marked m and n
The steps followed by the student are:
Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
We observe that the student made a mistake in Step 1, it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle).
p is outside the triangle, therefore it cannot form one of the angles in the triangle.
Answer:
t = 51°
Step-by-step explanation:
The total sum of a polygon's exterior angles is always 360°.
Add all of the given angles and equate it to 360°.
40° + 34° + 34° + 46° + (2t - 50°) + (2t - 50°) + 2t = 360° Collect like terms
154° + 2t - 50° + 2t - 50° + 2t = 360° Remove brackets and collect like terms
54° + 6t = 360° Isolate t by doing reverse operations in reverse BEDMAS
6t = 360° - 54° Subtract 54° from both sides
6t = 306° Divide both sides by 6
t = 51° Answer
<span>A credit card's interest rate is the price you pay for borrowing money. For credit cards, the interest ratesare typically stated as a yearly rate. This is called the annual percentage rate (APR). On most cards, you can avoid paying interest on purchases if you pay your balance in full each month by the due date.
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We need to determine the term life insurance amount per thousand on a 22-year-old female for a 5-year policy given that the face value of the policy is $600,000 and the annual premium is $1332.
Since we are supposed to find the term life insurance amount per thousand, therefore, we will use the following formula:
![\text{Term life insurance amount}=\frac{\text{Annual premium}}{\text{Face value of insurance}}*1000](https://tex.z-dn.net/?f=%5Ctext%7BTerm%20life%20insurance%20amount%7D%3D%5Cfrac%7B%5Ctext%7BAnnual%20premium%7D%7D%7B%5Ctext%7BFace%20value%20of%20insurance%7D%7D%2A1000)
Upon substituting the values of annual premium and face value of insurance, we get:
![\text{Term life insurance amount}=\frac{\text{1332}}{\text{600000}}*1000\\ \text{Term life insurance amount}=\$2.22](https://tex.z-dn.net/?f=%5Ctext%7BTerm%20life%20insurance%20amount%7D%3D%5Cfrac%7B%5Ctext%7B1332%7D%7D%7B%5Ctext%7B600000%7D%7D%2A1000%5C%5C%0A%5Ctext%7BTerm%20life%20insurance%20amount%7D%3D%5C%242.22)
Therefore, the required life insurance amount is $2.22.