Answer:
B
Step-by-step explanation:
it matches the table
Answer:
13) Angle A is 30°
14) Angle A is 45°
15) Angle A is 40°
16) Angle A is 40.5°
Step-by-step explanation:
By the angle sum theorem for the interior angles of a triangle, we have;
13) 130° + 2·x + 3·x = 180°
∴ 2·x + 3·x = 180° - 130° = 50°
2·x + 3·x = 5·x = 50°
x = 50°/5 = 10°
∠A = 3·x = 3 × 10° = 30°
∠A = 30°
14) 3·x + 9 + 4·x + 9 + 78° = 180°
7·x + 18 + 78° = 180°
7·x = 180° - (18 + 78)° = 180° - 96° = 84°
x = 84°/7 = 12°
∠A = 3·x + 9 = 3 × 12° + 9 = 45°
∠A = 45°
15) 90° + x + 51 + x + 61 = 180°
∴ x + 51 + x + 61 = 180° - 90° = 90°
2·x + 112 = 90°
2·x = (90 - 112)° = -22°
x = -22°/2 = -11°
x = -11°
∠A = x + 51 = -11° + 51 = 40°
∠A = 40°
16) x + 79 + x + 49 + 70° = 180°
x + x = (180 - 70 - 79 - 48)° = -17°
2·x = -17°
x = -17°/2 = -8.5°
x = -8.5°
∠A = x + 49 = (-8.5 + 49)° = 40.5°
∠A = 40.5°.
Ten thousands is the answer
Answer:
y=29
Step-by-step explanation:
Since the angles are across a vertex from one another, they are congruent and equal. You can also see this by reflecting or folding it in half through the vertex. They will be the same. This means we can write the following equation and solve using inverse operations:
4y-8=79+y
4y-y-8=79+y-y
3y-8=79
3y-8+8=79+8
3y=87
y=29
1) 5 cups of yellow paint; because if 10 cups of yellow paint are used for 2 cups of blue paint, then you would use 5 cups of yellow paint to even out the pigment of one cup of blue.
2) 3 cups of blue paint, and 15 cups of yellow paint
3) 5 cups of yellow for every cup of blue paint
4) for every cup of blue paint 5 cups of yellow are used to get the same shade of green