Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
- In any triangle, the sum of the measures of its interior angle is 180°
- In the isosceles triangle, the two base angles are equal in measures
∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
Answer:
-4
Step-by-step explanation:
B is 4 units to the left of the origin.
The answer is going to be yes it's rational. hope that helped
Answer:
Each time you draw, there is a 57.143% chance it will be blue, and a 42.857% chance it will be red.
Answer:
The amount of wood left is 36 9/16 in
Step-by-step explanation:
Here, we want to get the amount of wood left
To calculate this, we have to subtract what is cut and what is wasted from the original total length
So we have what is left as follows;
45 1/2 - 8 7/8 - 1/16
45 1/2 = 91/2
8 7/8 = 71/8
91/2 - 71/8 - 1/16
(728 - 142 - 1)/16
585/16 = 36 9/16 in
