Answer:
This is the correct way to set up the equation:
9x + 88 + 6x + 182 = 180
I'm going to move some things around so we can combine like terms. It now reads:
9x + 6x + 88 + 182 = 180
9x + 6x = 15x, so the equation now reads:
15x + 88 + 182 = 180
88 + 182 = 270, so the equation reads:
15x + 270 = 180
Subtract the 270 from both sides. 180 - 270 is -90:
15x = -90
Divide both sides by 15. -90 divided by 15 = -6:
x = -6
Now we can substitute -6 back into the separate equations.
9(-6) + 88 = ?
9 times -6 is -54. -54 + 88 = 34.
6(-6) + 182 = ?
6 times -6 = -36. -36 + 182 = 146
Now we can add 34 and 146 together.
34 + 146 = 180
I hope I helped answer your question!
Step-by-step explanation:
Ans : A and F
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
For answering multiple choice, you can do the following:
Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes. They're out!
Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5 No good.
Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3 good
So we conclude the first system is the correct answer.
Answer:
<u>Similarities</u><u> between a parallelogram and a rectangle</u>
- Quadrilateral (4-sided, two dimensional shape)
- Opposite sides are equal and parallel to each other
- Sum of all the interior angles is 360°
- Diagonals bisect each other
- Adjacent angles are supplementary (sum to 180°)
- Opposite angles are equal
<u>Differences</u><u> between a parallelogram and a rectangle</u>
- A rectangle has four equal interior angles (each are 90°) whereas only the opposite angles in a parallelogram are equal.
- The diagonals of a rectangle are equal in length, whereas the diagonals of a parallelogram are not equal in length.
All rectangles are parallelograms since the opposite sides of a rectangle are parallel, but all parallelograms are not rectangles.
