Each numbered angle equals 37°.
Answer:
x = 2
Step-by-step explanation:
2(2x+1-x)=6
2(x+1)=6 add common factors
2x+2=6 distribute the 2
2x=4 subrtract 2 on both sides
x=2 divide 2 on both sides
Answer:
Solution : 
Step-by-step explanation:
![-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]](https://tex.z-dn.net/?f=-3%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%7D%7B4%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%7D%7B4%7D%5Cright%29%5Cright%5D%5C%3A%5Cdiv%20%5C%3A2%5Csqrt%7B2%7D%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,
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As you can see your solution is the last option.
1500 members have a contributor membership.
64.8% of the noncontributory memberships are individual memberships.
<u>Step-by-step explanation:</u>
There are 20,000 members of a zoo.
⇒ Total members = 20,000
From the graph shown,
7.5% of the members have a contributor membership.
<u>To find the number of members who have contributor membership :</u>
⇒ 7.5% of 20,000
⇒ (7.5/100) × 20,000
⇒ 7.5 × 200
⇒ 1500 members.
Therefore, 1500 members have a contributor membership.
<u>To find the percentage of the noncontributory memberships are individual memberships :</u>
The percentage of noncontributory memberships = 100% - 7.5% ⇒ 92.5%
The percentage of individual memberships = 60%
∴ What percentage of the noncontributory memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%
