Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)
Answer:
Roman
Step-by-step explanation:
An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.
Best of Luck!
1) No, because the line does not divide the figure into two mirrored images.
2)Yes, because the line divides the figure into two mirrored images.
3) Yes, because the line divides the figure into two mirrored images.
4)No, because the line does not divide the figure into two mirrored images.
5)One line, vertical down the middle.
6) Zero lines, because the figure can not be divided into mirrored images.
7)Four lines, horizontal down the middle, vertical down the middle and diagonal down from each top corner.
8) One line, vertical down the middle
The answer to this question is A.-1/12
X^2 - 9x + 18
factors of 18: 1*18, 2*9, 3*6,
the sums of the factors: 19, 11, 9
the positive 18 tells us both factors have the same sign, the negative 9 tells us they are both negative
(x - 3)(x - 6)
