+(-x) = -X
+(-7) = -7
So
6-x+2x-7+2x
Simplifies to
3x-1
So your answer is 3x-1
Hope this helps
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Answer:
- arc BC = 60°
- m∠ADC = 60°
- m∠AEB = 105°
- m∠ADP = 45°
- m∠P = 60°
Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
__
In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Answer:
Step-by-step explanation:
step 1
Find the surface area of the cylinder
The surface area of the cylinder is equal to
we have
----> the radius is half the diameter
assume
substitute
<em>Find the cost</em>
step 2
Find the surface area of the square prism
The surface area of the prism is equal to
we have
substitute
<em>Find the cost</em>
step 3
Find the difference of costs
The three points form a right triangle with legs length 3in and 4in. So, the area is
So, both sides of the pillow will require 12 squared inches.
The intersected arc is the arc opposite the angle in question, here arc ABE.
Answer: ABE, last choice
