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Answer:
*The answer must have a fraction.*
Step-by-step explanation:
Lesson: Zero and Negative Exponents.
Distributive property: a(b+c)=ab+ac
First, you apply exponent rule.
Final answer:
Hope this helps!
Thanks!
-Charlie
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Answer:
The answer is 1/343
Step-by-step explanation:
B. 5
C.
D.
b) m<2= ?
c) m<3= ?
d) m<4= ?
e) m<5= ?
f) m<6= ?
The measures are: ∠ 1 = 80°, ∠ 2 = 57°, ∠ 3 = 57°, ∠ 4 = 43°, ∠ 5 = 137° and ∠ 6 = 123°
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays.
Given is a figure, (refer to figure attached)
1) ∠ 1 = 80° (vertically opposite angles)
2) 43°+∠ 1 + ∠ 2 = 180° (linear pair)
∠ 2 = 180°-(43+80)
∠ 2 = 57°
3) ∠ 3 = ∠ 7 (alternate interior angles)
∠ 7 = ∠ 2 (vertically opposite angles)
∠ 3 = ∠ 2 (transitive property)
∠ 3 = 57°
4) ∠ 4 = ∠ 8 (alternate interior angle)
∠ 8 = 43° (vertically opposite angles)
∠ 4 = 43° (transitive property)
5) ∠ 5 = ∠ 1 + ∠ 2 (corresponding angles)
∠ 5 = 137°
6) ∠ 6 = 80° + ∠ 8 (corresponding angles)
∠ 6 = 80° + 43°
∠ 6 = 123°
Hence, The measures are: ∠ 1 = 80°, ∠ 2 = 57°, ∠ 3 = 57°, ∠ 4 = 43°, ∠ 5 = 137° and ∠ 6 = 123°
For more references on angles, click;
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m<1= 80 due to the Corresponding Angles Postulate.
m<2= 360-(80+80)-(43+43) = 360-246 = 114/2 = 57
m<3= 57
m<4= 57+80+x = 180 ---> 137+x = 180 ---> x = 43
m<5= 180-43 = 137
m<6= 180-57 = 123
Answer:
3.5 cups
Step-by-step explanation: there are 32 cups in two gallons, 32 devided by 9 is 3.5