Answer:
x = 50
Step-by-step explanation:
Angles of a triangle add up to 180°. So the third angle of the triangle on the right is:
180° − 43° − 57° = 80°
Vertical angles are congruent, so the angle on the other side is also 80°. Therefore:
x° + x° + 80° = 180°
2x° = 100°
x = 50
Answer:
Step-by-step explanation:
You are supposed to pull out the common factor and put it outside the brackets.
42: 6 * 7
54: 6 * 9
So the answer is
6(9 + 7)
Answer: the ordered pair is (-14,-6)
Step by step:
x – 2y = -2 (Eq. 1)
x – 4y = 10 (Eq. 2)
Isolate x in Eq. 2:
x = -2 + 2y
Substitute that solution x in Eq. 2:
x - 4y = 10
-2 + 2y - 4y = 10
Solve for y:
-2 - 2y = 10
-2y = 10 + 2 = 12
y = -6
Then calculate value for x using the above value for y
x = -2 + 2y
x = -2 + 2(-6) = -14
The solution is (x,y)=(-14,-6)
Answer:
he gained 2,100
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
∠ACE and ∠ECB form a straight angle whose sum = 180°, hence
2x + 2 + 5x + 3 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25 → C