9514 1404 393
Answer:
30°
Step-by-step explanation:
Consecutive interior angles are supplementary when the lines are parallel:
2x +4x = 180°
x = 180°/6
x = 30°
_____
<em>Comment on units</em>
A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)
Answer:
Area of the sector = 57.26295cm²
Step-by-step explanation:
Radius of the circle=9cm
π= 3.142
Angle at B= 81° ( opposite angle of a quadrilateral)
Area of the sector = πr² * 81/360
Area of the sector = 3.142 * 9*9 * 0.225
Area of the sector= 3.142*81*0.225
Area of the sector = 57.26295cm²
Answer:
<u>For 1 quart of orange juice:</u>
Calories = 448
Vitamin C = 387.6 mg
Carbohydrates = 107.56 mg
Step-by-step explanation:
The following information is given about 1 CUP of orange juice:
<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>
Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.
Calories = 112 * 4 = 448
Vitamin C = 96.9 * 4 = 387.6 mg
Carbohydrates = 26.89 * 4 = 107.56 mg
<h3>
Answer: D) Cannot be determined</h3>
Explanation:
Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.
Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).
Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".
Choice D is the only thing left. It turns out we don't have enough info to be able to determine if the triangles are similar or not.
Answer:
The Car would release over 360 tons of carbon dioxide in 10 years.
36x10 = 360
Step-by-step explanation:
Hope this helps!