The measure of each angles are m∠F = 46°, m∠D = 32°, m∠E = 102°.
<h3>What is angle?</h3>
An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.
The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.
We have given that Δ DEF has
m∠D = m∠F - 14
And
m∠E = 10 + 2(m∠F)
We know that that sum of all angels in a triangle is 180°, So
m∠D + m∠E + m∠F = 180°
Substituting the values we get
(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°
m∠F - 14 + 10 + 2m∠F +m∠F
4(m∠F) - 4 = 180
4(m∠F) = 180 + 4
4(m∠F) = 184
(m∠F) = 46°
m∠D = 46° - 14
m∠D = 32°
m∠E = 10 + 2(m∠F)
m∠E = 10 + 2( 46°)
m∠E = 10 + 92°
m∠E = 102°
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Answer:
33°, 57°
Step-by-step explanation:
The sum of angle measures is 90°, so we can write ...
(x +3) + (2x -3) = 90
3x = 90 . . . . . . . . . . . . simplify
x = 30 . . . . . . . . . . . . . divide by 3
The first angle is 30+3 = 33 degrees.
The second angle is 2·30-3 = 57 degrees.
_____
Check:
33° +57° = 90°
Answer:
oh i know the answer but i dont know how to say it
Step-by-step explanation:
Answer:
And for this case
The % of variation is given by the determination coefficient given by and on this case , so then the % of variation explained is 20.25%.
The proportion of the variability seen in final grade performance that can be predicted by math ability scores is 20.25%.
Step-by-step explanation:
For this case we asume that we fit a linear model:
Where y represent the final grade and x the math ability scores
Where:
And we can find the intercept using this:
The correlation coeffcient is given by:
And for this case
The % of variation is given by the determination coefficient given by and on this case , so then the % of variation explained is 20.25%.
The proportion of the variability seen in final grade performance that can be predicted by math ability scores is 20.25%.