Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
Answer:
L = 4.103
Step-by-step explanation:
we have length of curve

where 
substituting for f(x), we have 
(since the limit is 2≤ x ≤5)
solving, 
Simplifying this integral, we have
L = 4.10321
$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)
Answer:
Option A.) 88 inches
Step-by-step explanation:
step 1
Find the circumference of the wheel
we know that
The circumference of a circle is equal to

we have


substitute

For this question you can say:
-8 -11q = -9q +6
so now you can add +9q on both sides and +8 on both sides of the equation:
-11q + 9q = 8 + 6
-2q = 14
q = 14/-2
q = -7 :)))
I hope this is helpful
have a nice day