The sum of the measures of the angles of a triangle is 180 degrees.
An isosceles triangle has two congruent sides.
The angles opposite the congruent sides are congruent.
Just like the bottom left angle measures x, the bottom right angle also measures x.
x + x + 38 = 180
2x + 38 = 180
2x = 142
x = 71
Answer:
The answer to your question is below
Step-by-step explanation:
Number 9.
To find x use the law of sines
sin x / 8 = sin 95 / 12
Solve for sin x
sin x = 8 sin 95 / 12
sin x = 0.664
x = 41.6°
Number 10
To find x use law of cosines
x² = 6² + 8² - 2(6)(8)cos100
x² = 36 + 64 - 96(-0.174)
x² = 100 + 16.67
x² = 116.67
x = 10.80
Answer:
16 and 82 degrees
Step-by-step explanation:
You can sum all of the angles together and solve for x.
(x - 1) + (5x - 3) + (5x - 3) = 180
11x - 7 = 180
11x = 187
x = 17
The first angle is 16 degrees. (17 - 1)
The other two angles are 82 degrees(5(17) - 3)
Answer:
its 45 degrees celcius
Step-by-step explanation:
Since the line of refrection is a horizontal line, the x-coordinate of the image will be the same as the x-coordinate of the point P(-1, -1). P(-1, -1) is one unit above the line y = -2, hence the image will be one unit below the line y = -2. Therefore the coordinate of the image is (-1, -3)
