Answer:
-4x-6x=-20=
x=2
-3(2x-3)=33=
x=-4
4x+3x+2x=180
x=20
Step-by-step explanation:
-4x-6x=-20
-4+(-6)=-10x
-10x=20 (divide both by 10)
x=-2 (divide by -1 to get positive)
x=2
-3(2x-3)=33
-6x+9=33
-9 . -9
-6x=24 (divide both by -6)
x=-4 (divide by -1 to make positive)
4x+3x+2x=180
(combine like terms)
9x=180 (divide both sides by 9)
x=20
Answer:
m=25
Step-by-step explanation:
You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.
Answer:
1. Opposite
2. angle-side-angle criterion
Step-by-step explanation:
Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.
A parallelogram posses the following features:
1. The opposite sides are parallel.
2. The opposite sides are congruent.
3. It has supplementary consecutive angles.
4. The diagonals bisect each other.
95n+75 is less than or equal to 645. 645-75=570. 95n is less than or equal to 570. 570/95=6. A maximum of six nights
Answer:
Step-by-step explanation:
1a) the y intercept, or 20
b) from 0 weeks to 1 week the difference is 10
c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20
2a) the y int, is the same as the x(number of games played) being zero, so here it is 25
2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week
2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25