Answer:
148º
Step-by-step explanation:
Use the information given:
- The measure of a straight line is 180º. So angle PST=180-(2R+8)
- Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
- The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
- Combine like terms, 212-R=180
- Subtract, -R=-32
- Convert to positive, R=32º
With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:
- 32º+72º+108º+STR=360º
- Combine like terms, 212º+STR=360º
- Subtract, STR=148º
Answer:
Bonds: $42,000
Certificates of deposit: $41,000
Step-by-step explanation:
Total invested = Amount in bonds + Amount in CDs
Amount in bonds = Amount in CDs + 1000
Let the amount in bonds = B and the amount in CDs = C
1. 83,000 = B + C
2. B = C+1000
Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).
83,000 = C + 1000 + C
Now, you can solve for C.
83,000 = 2C + 1000
82,000 = 2C
41,000 = C
You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.
I hope this helps you
f (x)=(x+2)^3/2
f'(x)=3/2. (x+2)^3/2-1
f'(x)=3/2 (x+2)^1/2
f'(x)=3/2.square root of (x+2)
