Solve Systems of Equations
x+y=6
x−y=2
x=4,y=2
If two angles are complementary and one angle is 30∘, what is the measure of the other angle?
The other angle is 60∘.
What is the Pythagorean Theorem?
a2+b2=c2
If a point A(2,3) is translated 4 units to the right and 2 units down, what are the new coordinates of point A?
The new coordinates of point A are (6,1)
2x+3y=12
4x−3y=6
x=3,y=2
If two angles are supplementary and one angle is 110∘, what is the measure of the other angle?
The other angle is 70∘.
In a right triangle, the lengths of the legs are 3 and 4. What is the length of the hypotenuse?
The length of the hypotenuse is 5.
If the point P(3,4) is translated 5 units to the right and 2 units down, what are the new coordinates of point P?
The new coordinates of point P are (8,2)
3x+4y=10
5x−4y=2
x=3/2,y=11/8
The measure of one angle in a linear pair is 3x+10 and the measure of the other angle is 5x−20. What is the value of x?
x=23.75
In a right triangle, one leg has a length of 6, and the hypotenuse has a length of 10. What is the length of the other leg?
The length of the other leg is 8.
f the point Q(7,−2) is translated 4 units left and 3 units up, what are the new coordinates of point Q?
The new coordinates of point Q are (3,1)
4x−7y=8
6x+7y=20
x=14/5,y=16/35
In a triangle, the first angle is 2x+10∘, the second angle is 3x−5∘, and the third angle is x+25∘. Find the value of x.
x=25
In a right triangle, the lengths of the two legs are 7x and 24x, and the length of the hypotenuse is 25x. What is the value of x?
625x2=625x2
The point R(−4,6) is translated 8 units to the left and 5 units down. What are the new coordinates of point R?
The new coordinates of point R are (−12,1)
x+2y=7
3x−2y=5
x=3,y=2
The measure of the first angle is 4y+15∘∘ and the measure of the second angle is 3y+25∘. These angles form a linear pair. What is the value of y?
y=20
In a right triangle, the length of the hypotenuse is 13, and one of the legs is 5. What is the length of the other leg?
The length of the other leg is 12.
If the point S(2,−3) is translated 6 units to the right and 4 units up, what are the new coordinates of point S?
The new coordinates of point S are (8,1)