Answer:
41
Step-by-step explanation:
130-89= other angle whic is 41
30 - 5d - c + 3d
In this equation there are two numbers which have the letter d with them. These would be like terms.
You have -5d + 3d which equals -2d
The simplified form would be 30 -2d -c
How do we answer is there’s no pic??
Answer:
104
155
180
Step-by-step explanation:
an easy way is to solve what is in the parenthesis then multiply by the outside number
but if you need to use the distributive property:
1. 4 x (20 - -6)
(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104
2. -5 x (24 - -7)
(-5 x 24) - (-5 x -7) = -120 - 35 = 155
3. 12 x (-30 + 45)
(12 x -30) + (12 x 45) = -360 + 540 = 180
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
