Step-by-step explanation:
Refer to attachment.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
You would want to add all of the angles together to find the sum. Set this equal to 360.
2x-9 + 2x-9 + x + x + x = 360
Combine like terms,
7x-18 = 360
Add 18 to both sides,
7x = 378
Divvied both sides by 7,
x = 54
Answer:
The right statement is sin(J) = cos(L) ⇒ answer D
Step-by-step explanation:
* Lets describe the figure
- LKJ is a right triangle, where K is a right angle
∵ m∠K = 90°
∵ LJ is opposite to angle K
∴ LJ is the hypotenuse
∵ LJ = 219
∵ KJ = 178
- By using Pythagoras Theorem
∵ (LJ)² = (LK)² + (KJ)²
∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides
∴ (LK)² = (219)² - (178)²
∴ (LK)² = 16277
∴ LK = √16277 = 127.58
* Lets revise how to find the trigonometry function
# sin Ф = opposite/hypotenuse
# cos Ф = adjacent/hypotenuse
# tan Ф = opposite/adjacent
∵ LK is the opposite side to angle J
∵ LJ is the hypotenuse
∵ sin(J) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ sin(J) = 127.58/219 = 0.583
∵ LK is the adjacent side to angle L
∵ LJ is the hypotenuse
∵ cos(L) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ cos(L) = 127.58/219 = 0.583
∴ sin(J) = cos(L)
* The right statement is sin(J) = cos(L)
Answer:
The line represents a direct variation function
The line has a slope of 2
Step-by-step explanation:
In oder to find the slope given two points, use the Slope-Formula to identify the slope
m = slope
m = y2 - y1/x2 - x1
m = -8 - 10/-4 - 5
m = -18/ -9
m = 18/9
m = 2
Therefore, the slope is 2
Two angles can be complementary angles add up to 90. So if you have a angle that is 30 and another one that is 60 those would be complementary because if you add them up they add up to 90.
