Answer:
E) 35°, 70°.
Step-by-step explanation:
Given that the triangle has angles of a°, 2a° and 75°.
A triangle is a polygon shape that has three sides and three angles. The sum of angles in a triangle is 180°. There are different types of triangles such as scalene triangle, isosceles triangle, equilateral triangle e.t.c.
In the triangle:
a + 2a + 75 = 180° (sum of angles in a triangle)
3a + 75 = 180
adding -75 to both sides:
3a + 75 - 75 = 180 - 75
3a = 105
a = 105/3
a = 35°
Hence 2a = 2(35) = 70°
Therefore a = 35° and 2a = 70°
245 yards would convert to 8,820 inches.
Answer: 1 1/3
Step-by-step explanation:
Turn 6 2/3 into a improper fraction (20/3)
Subtract 8 - 20/3
Get 4/3 turn 4/3 into a mix number and get 1 1/3
72 cups (US Gallons)
1 gallon = 19.215 cups.
<span>6x – 7y = 16
2x + 7y = 24
This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.
</span> 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5
Substitute 5 for x into either of the above equation and solve algebraically for y.
2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2
Check work by plugging both x- and y-values into each original equation.
6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24
Answer:
x = 5; y = 2
(5, 2)