Answer:
The Proof is given below.
Step-by-step explanation:
Given:
P is the center of Circle
∠ONE ≅ ∠TEN
To Prove:
∠5 ≅ ∠6
Proof:
Exterior Angle Theorem:
Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.
STATEMENT REASON
1. So In ΔONE,
1. Exterior Angle Property of a Triangle.
2. Similarly In ΔTEN,
2. Exterior Angle Property of a Triangle.
3. But , ∠ONE ≅ ∠TEN 3. Given
4. And P is the center of circle So
4.radius of same circle
5. ΔPEN is an Isosceles triangle,
∴ ∠ 1 ≅ ∠ 2 5. Isosceles triangle property
6. ∴ ∠5 ≅ ∠6 6. From 3 and 5 Transitive Property.........Proved
Answer:
$8,864.73
Step-by-step explanation:
Base amount: $6,000.00
Interest Rate: 5% (yearly)
Effective Annual Rate: 5%
Calculation period: 8 years
This expression is not factorable which means the answer is 8x+7
(100/15)x493=$3286.67 (rounded to 2 decimal places)
The one above is wrong.
This is the correct way:
(100/85)×493=580
Correct answer is $580
Answer:
1st side= 4m
2nd side= 8m
3rd side= 12m
Step-by-step explanation:
Let the first, second and third side of the triangle be a, b and c meters respectively.
a= b -4 -----(1)
c= 3a -----(2)
Perimeter of triangle
= a +b +c
= 24
a +b +c= 24 -----(3)
From (1): b= a +4 -----(4)
Subst. (2) and (4) into (3):
a +(a +4) +3a= 24
3a +a +a +4= 24
5a +4= 24
5a= 24 -4
5a= 20
Divide both sides by 5:
a= 20 ÷5
a= 4
Substitute a= 4 into (4):
b= 4 +4
b= 8
Substitute a= 4 into (2):
c= 3(4)
c= 12
Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.
