150 and the unknown angle next to it equal 180.
180 - 150= unknown angle
30 degrees= unknown angle
Then the triangle also equals 180 so we add the angles and solve for x
3x + 2x + 30= 180
5x + 30= 180
5x= 150
x= 30
3x= 3(30)= 90 degrees
2x= 2(30)= 60 degrees
Answer: 0.27
You can mark me brainliest on the other question you know
Step-by-step explanation:
9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
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(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
Answer: OPTION D
Step-by-step explanation:
To solve this exercise you must use the formula for calculate the distance between two points, which is shown below:

Now, you must substitute the points given in the problem into the formula:
A(-2,-4)
B(-8,4)

Then, the result is:

3/5x + 22 = 28
-22. -22
3/5x = 6
(5/3)(3/5)x = 6 × (5/3) multiply by the reciprocal
x = 6 × (5/3) -------------> 6 and 3 can be simplify so it will be x = 2 × 5 = 10
check
3/5 (10) + 22 ---> 3 × 2 + 22
28 = 28 ✔