Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Answer:
Step-by-step explanation:
Multiply by the reciprocal in order to get rid of the fraction in the denominator.
Answer:
82 degrees
let the point where the lines cross be E
ABD angle is 108 / 2 = 54 degrees
CAB angle is 56 / 2 = 28 degrees
the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82
Answer:
B = 73°, c = 107°, d= 107°
Step-by-step explanation:
Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.
Given:
Ray QS bisects ∠PQR.
m∠PQS = 3x
m∠SQR = 5x-20
To find:
The value of x and m∠PQR
Solution:
Ray QS bisects ∠PQR. So,
The value of x is 10.
Now,
Put x=10,
Therefore, the m∠PQR is 60 degrees.