Answer:
26°
Step-by-step explanation:
An obtuse triangle is a triangle that has one obtuse angle. Obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.
An isosceles triangle is a triangle that has two equal sides and angles.
Therefore, an obtuse isosceles triangle is a triangle with an obtuse angle and two equal sides that have two equal acute angles (angle less than 90° ).
Given:
The three angles of the triangle are given to be x°, x° and (10x−2) = 128°. The obtuse angle is 128°, the two x° are acute angles. We are not using equation 10x − 2 since the value of the obtuse angle has been given as 128°
The sum of angles in a triangle is 180°
∴ x° + x° + 128° = 180°
2x° = 180° - 128°
2x° = 52°
x° = 52° / 2
x° = 26°
The measurement of one of the acute angles is 26°
Answer:
1/6 (16.667%)
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
0.75 x 14 = 10.5 or 10.50.
Answer:
100 students play only basketball.
Step-by-step explanation:
We are given the following information in the question:
Total number of students in school = 240
Number of students that play soccer =

n(S) =80

Formula:

Putting the values, we get,

Thus, 144 students play basketball.
Out of these 144, 44 plays soccer as well.

Thus, 100 students play only basketball and not soccer.
(x + 2)² - 10 = 0 (assuming it's equal to zero)
Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0

(by quadratic formula)



, since we're taking the positive solution.