Answer:
Option A) (2.5,-1.3) is correct
The midpoint of the given line segment is M=(2.5,-1.3)
Step-by-step explanation:
Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)
To find the mid point of these endpoints midpoint formula is 
Let (
) be the point (3.5, 2.2) and (
) be the point (1.5, -4.8)
substituting the points in the formula
Therefore M=(2.5,-1.3)
The midpoint of the given line segment is M=(2.5,-1.3)
31 degrees, 31 degrees, 118 degrees
Step-by-step explanation:
Step 1 :
Let x be the measure of 2 angles of the given isosceles triangle with same measure
Let y be the measure of 3rd angle
So we have x + x + y = 180
Step 2 :
Given that the measure of 3rd angle of triangle is 25° more than three times the measure of either of the other two angles
So we have , y = 3 x + 25
Step 3:
Substituting for y in the first equation we have,
x + x + 3 x + 25 = 180
=> 5 x + 25 = 180
=> 5 x = 180-25 = 155
=> x = 155/5 = 31
Hence the 2 angles of the triangle are 31 degrees.
Step 4:
we have y = 3 x + 25
=> y = 3 * 31 + 25 = 118
Hence the 3rd angle of given triangle is 118 degrees
Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4
Answer:
19°
Step-by-step explanation:
Set up the equation (triangles add up to 180 degrees)(Right angles are 90 degrees).
39 + 90 + 2x + 13 = 180
142 + 2x = 180
2x = 38
x = 19
Answer:
The final amount is 550.93.
Step-by-step explanation:
Here, the given amount is 468.
Now 8% of the given amount is 
⇒ 8% of 468 = 37.44
So, the New amount = Initial Amount + 8% increase
= 468. + 37.44 = 505.44
Now 9 % of the new amount 505.44 is
[tex]\frac{9}{100} \times 505.44 = 45.4896/tex]
⇒ 9% of 505.44 = 45.4896
So, the Final amount = New Amount + 9% increase
= 505.44 + 45.4896 = 550.93
Hence, final amount is 550.93.
