Answer:
94°
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:
180 = (29 + 65 + m∠2)
= 180 - 94 = m∠2
= m∠2 = 86°
Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:
180 - 86 = 94°
m∠1 = 94°.
The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:
m∠1 = 29 + 65
m∠1 = 94°.
~
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
Step-by-step explanation:
Is this the full question
The ratio of the rectangle's length to its width is 42/14 which simplifies to 3/1 by factoring out 14 out of the numerator and denominator.
Any ratio that is not 3:1, or a multiple of 3:1, is not equal.
List of Equal Ratios: 6:2, 9:3, 12:4, etc.
Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is
Using this rule, we get
Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
