Answer:
They each spent 18.75.
Step-by-step explanation:
Divide 93.75 by 5.
Step-by-step explanation:
The x-coordinate of the vertex can be found by the formula − b 2 a, and to get the y value of the vertex, just substitute − b 2 a, into the Finding Vertex from Vertex Form It's called 'vertex form' for a reason! The vertex is just (h,k) from the equation.
Option D: 
is the x-coordinate
Explanation:
It is given that the coordinates of the line segment are A(3,2) and B(6,11).
Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3
The distance between the x-coordinates is 3 units.
To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.
The value of x-coordinate from the ratio is 2.
Sum of the ratio is 2 +3 = 5
Thus,
The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5
Substituting the values, we have,
The x - coordinate of the Point C =
Thus, Option D is the correct answer.
Answer:
x=6
Step-by-step explanation:
22x-2=20x+10
22x-20x=10+2
2x=12
x=6
Answer:
∠A = 70°, ∠B = 50°, and ∠C = 60°.
Step-by-step explanation:
In a triangle ΔABC, ∠A + ∠B + ∠C = 180° ......... (1), we know from the property of triangle.
Now, the sum of ∠C and the exterior angle adjacent to ∠C is 180°.
If the exterior angle adjacent to ∠C is 120°, then ∠C = 180° - 120° = 60°.
Now, from equation (1), ∠A + ∠B = 180° - ∠C = 180° - 60° = 120° ......... (2)
Now, given that ∠A = 2x and ∠B = x + 15.
Hence, from equation (2), we have, 2x + x + 15 = 120
⇒ 3x = 105
⇒ x = 35.
Therefore, ∠A = 2x = 2 × 35 = 70°
∠B = x + 15 = 35 + 15 = 50°
and ∠C = 60° (Answer)
