We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5
We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°
This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
[Given]
{ x + y = 6
{ x = y + 4
[Plug-in our x value & solve]
[Given] x + y = 6
[ Plug-in] (y + 4) + y = 6
[Distribute] y + 4 + y = 6
[Combine like terms] 2y + 4 = 6
[Subtract 4 from both sides] 2y = 2
[Divide both sides by 2] y = 1
[Answer]
Third option - (5, 1)
-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly
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Answer:
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Step-by-step explanation:
Well to find the prime factor we make the prime factorization tree.
Look at the image below↓
<em>Thus,</em>
<em>the prime factorization of 4275 is </em>
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<em>Hope this helps :)</em>
length of a rectangle is 6 less than 3 times its width"
L = 3W-6
"perimeter of the rectangle is 148 meters"
2L + 2W = 148
L + W = 74
(3W-6) + W = 74
4W = 80
W = 20 m
L = 3W-6 = 54 m
Answer:
D. All of the above
Step-by-step explanation:
By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:
Low Calorie Meal got likes = 6
Moderate Calorie Meal got likes = 7
High Calorie Meal got likes = 17
so,
Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.
Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.
Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.