Answer : C. 40
In a right triangle, the acute angles measure x + 15 and 2x degrees
We know right angle is 90 degree.
In right angle triangle , one angle is 90 and other two angles are x+15 and 2x
WE know sum of angles in a triangle = 180
90 + x+15 + 2x = 180 (combine like terms)
105 + 3x = 180
Subtract 105 on both sides
3x = 75 (Divide by 3 on both sides)
x= 25
In right angle triangle , one angle is 90 and other two angles are x+15 and 2x
Replace x with 25
So angles of the right triangle are 40, 50 , 90 degrees
Smallest angle of the triangle= 40
Ten more than a number. X + 10 ... Eleven added to a number. A number minus seven x + 2 added to x + 11. Subtraction
The first step is to find out what one centimeter of map represents. 15÷2.5 is equivalent to 6 kilometers. We now know that one centimeter is equal to 6 kilometers. Now we will have to multiply 17.5 by 6, which would equal 105.
C is correct. You have to pay attention to the corresponding sequences of the vertices. C is correct because in the three triangles, MON, MPO, OPN are the right angles, respectively. However, the angles are not consistent in other given choices.
