Hello!
The angle is a right angle, which measures 90°.
3x + x = 4x
Angle = 4x + 10 = 90
Switch that around
90 - 10 = 4x
90 - 10 = 80
80 = 4x
Divide by 4
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3x+3y+6z=9
x+3y+2z=5
3x+12y+12z=18
Step 1: use Eq 2 to solve for x
x+3y+2z=5
x= -3y-2z+5
Step 2: Solve for y unsing Eq 1
3x+3y+6z=9
3y= -3x-6z+9
y= -x-2z+3
Step 3: plug in x= -3y-2z+5 to solve for the value of y
y=-x-2z+3
y= (-1)(-3y -2z +5) - 2z+3
y= 3y+2z-5- 2z+3
-2y= -2
y=1
Step 4: plug y= 1 into the x= equation
x= -3y-2z+5
x= -3(1)-2z+5
x= -2z+2
Step 5:Plug y= 1 and x= -2z+2 into the 3rd equation to solve for z
3x+12y+12z=18
12z= -3(-2z+2)-12(1)+ 18
12z= 6z - 6 - 12 +18
6z= -18+18
6z=0
z=0
Step 6: Plug z in to solve for x
x=-2z+2
x= (-2)(0)+2
x= 2
ANSWER:
x,y,z = 2,1,0
answer choice C
Answer:
HL
Step-by-step explanation:
The things that are congruent between the 2 triangles are the 90° angles and the hypotenuses and legs. HA and LA only work with the acute angles, not right angles, and AA isn't a way of proving things to be congruent, meaning that HL is the answer
Answer: The functions values are greater than 0 over the interval.
Step-by-step explanation:
To tell if a function is positive over a given interval, see if it's below the x-axis or if it's under (since the x-axis represents 0).
- If it's below, it's less than zero.
- If it is above, it's greater than zero.
If the interval is above the x-axis, it's positive (greater), and if it's below, it's negative (less).
Answer: (0,3) and (-9,0)
————————
-2(0) + 6y = 18
6y = 18
y = 3 so…(0,3)
————————
-2x + 6(0) = 18
-2x = 18
x = -9 so.. (-9,0)
