Answer:
The similarities are;
1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°
2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third
3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems
The differences are;
1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle
2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle
Step-by-step explanation:
Answer:
This system has one answer.
Step-by-step explanation:
This system only has one answer which are: x=1 y=2
Hope this helped! :)
Answer Interest rate = 12.3%
The compound interest formula is given by:
Where
A = Future amount
P = Present amount (Principal amount)
r = Interest rate in decimal form
n = No. of times compounded per year
t = time in years.
We can say that if:
Present amount = P
Future amount = 3P
r = 12.3/100 = 0.123
n = 1
t = ?
Substitute the values in the formula of compound interest:
Taking log on both sides.
Round off to nearest option
t ≅ 9 years
Answer:
56.25
Step-by-step explanation:
Answer:she made 12 two points basket.
Step-by-step explanation:
Let x represent the number of baskets that were worth two points.
Let y represent the number of baskets that were worth three points.
Anaya makes 14 baskets during her game.
This means that
x + y = 14
Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that
2x + 3y = 30 - - - - - - - - - -1
Substituting x = 14 - y into equation 1, it becomes
2(14 - y) + 3y = 30
28 - 2y + 3y = 30
- 2y + 3y = 30 - 28
y = 2
Substituting y = 2 into x = 14 - y, it becomes
x = 14 - 2
x = 12
