Answer:
26
Step-by-step explanation:
The two angles shown are a linear pair. Their sum is 180°.
(4z -8)° +(3z +6)° = 180°
7z = 182 . . . . . . . . . divide by °, add 2
z = 26 . . . . . . . . . . divide by 7
Answer:
(-1, -2)
Step-by-step explanation:
4x - 7y = 10
3x + 2y = -7
The common multiple of the x coefficient is 12.
Multiple 3 to 4 to get 12; 4 to 3 to 12:
3(4x - 7y = 10)
4(3x + 2y = -7)
12x - 21y = 30
12x + 8y = -28
Subtract the two equations:
-29y = 58
y = -2
Substitute y = -2 to either 4x - 7y = 10 or 3x + 2y = -7. Typically, do the easier equation to solve:
3x + 2(-2) = -7
3x - 4 = -7
3x = -3
x = -1
The order pair solution is like a coordinate: (x, y)
You are welcome!
Kayden Kohl
9th Grade Algebra II Student
There are two triangles: a small one to the left and a big one, which includes the small one. They both have a common angle (the leftmost angle) and since (we can assume) the two columns meet the floor at right angles, they both have two equal angles. This means they are similar (AAA).
Let the distance of the base of the stairs to the tallest column be d.
Because matching sides of similar triangles are in the same ratio,
4 / 6 = d / (6 + 12)
4 / 6 = d / 18
(4 * 18) / 6 = d
d = 12
The answer is C
Answer:
Answer:
33.14\°
Step-by-step explanation:
Let
Y ----> field of vision that Yash's camera would need
we know that
Applying the law of sines
\frac{sin(Y)}{25}=\frac{sin(41\°)}{30}
Solve for sin(Y)
sin(Y)=\frac{sin(41\°)}{30}(25)
Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]
Y=33.14\°
Answer:
Slope is 35
Step-by-step explanation:
