Answer:
25 units
Step-by-step explanation:
Applying Pythagoras' Theorem,
(BD)^2= (CD)^2 + (BC)^2
(BC)^2= 65^2 - 60^2
(BC)^2= 625
BC= √625= 25
−2x + 3y + 5z = −21
−4z = 20
6x − 3y = 0
do -4z=20 first
divide both sides by -4 to get z by itself
-4z/-4=20/-4
z=-5
Use z=-5 into −2x + 3y + 5z = −21
-2x+3y+5(-5)=-21
-2x+3y-25=-21
move -25 to the other side
sign changes from -25 to +25
-2x+3y-25+25=-21+25
-2x+3y=4
6x-3y=0
find x by eliminating y
Add the equations together
-2x+6x+3y+(-3y)=4+0
-2x+6x+3y-3y=4
4x=4
Divide by 4 for both sides
4x/4=4/4
x=1
Use x=1 into 6x − 3y = 0
6(1)-3y=0
6-3y=0
Move 6 to the other side
6-6-3y=0-6
-3y=-6
Divide both sides by -3
-3y/-3=-6/-3
y=2
Answer:
(1, 2, -5)
Answer:
50 degrees
Step-by-step explanation:
All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.
45+85=130. Then, subtract 130 from the total, or 180. 180-130=50. The measure of the third angle of the triangle is 50 degrees.
Here we are given the equation 3x+k =c
Here in order to solve for x , first let us bring k to the right side.
k is in addition on the left , so when we bring it to the right it gets subtracted
now we have to isolate x on the left side , 3 is in multiplication with x , so when we bring it to the right side we divide by 3
Answer: 
