A triangle has an angle that measures 101.7°. The other two angles are in a ratio of 10:19. What are the measures of those two angles?
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You know that the angles of a triangle always add up to exactly 180° .
So you know that the two missing angles add up to (180° - 101.7°) = 78.3° .
That's the amount you need to split up in the ratio of 10:19 .
-- The smaller angle will get 10 shares of it.
The larger angle will get 19 shares of it.
Together, they'll add up to 29 shares of 78.3° .
-- OK. So what size is each share ? It's 78.3°/29 = exactly 2.7° .
-- The smaller angle gets 10 shares = (10 x 2.7°) = 27° .
The larger angle gets 19 shares = (19 x 2.7°) = 51.3° .
Check:
-- 27/51.3 = 10/19 <== good
-- (27° + 51.3° + 101.7°) = 180° <== good yay !
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O y=-2x + 6
O y=-*x+2
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Answer:
None of the answers is correct based on the points given
Step-by-step explanation:
1. Use the slope formula (see image)
Based on the points given the slope is actually undefined.
Answer:
y = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (3, 4)
m = =
= 0
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (1, 4) and (3, 4) with y- coordinates of 4, thus
y = 4 ← equation of line
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Answer:
121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, and 484.
Step-by-step explanation:
used this page as a reference: https://brainly.ph/question/91919
Answers
The above question has to do with proportionality, specifically direct proportionality.
Direct proportionality means when an item x is directly proportional to an item y. This is represented mathematically as:
x ∝ y
90 cookies will serve 45 students.
The number of cookies needed for 30 students is 90 cookies
From the above question,
45 cookies will serve 15 students
Hence,
15 students = 45 cookies
30 students = ?
Cross Multiply
30 students x 45 cookies / 15 students
= 90 cookies.
Therefore, 90 cookies will serve 45 students.
To learn more, visit the link below:
You know how many cookies are needed for 15 students but you need to fiqure out how many for 30 students. The ratio between 15 to 30 is a 1:2, AKA double. THis means that you can simply double the known number of cookies and it will give you the amount that you need for double the people.
Your answer is 90 cookies.