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Bogdan [553]
3 years ago
12

20 pts! If Quadrilateral J K L M is congruent to quadrilateral C B D A, which pair of sides must be congruent? Segment J K and S

egment A B Segment J K and Segment C B Segment J M and Segment A D Segment J M and Segment B C
Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

Answer:

segment I'm and segment ad

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

4(10)+6(12)=40+72=112\leq120⇒Bike order meets the restrictions

4(10)+4(12)=40+48=88\leq100⇒Bike order meets the restrictions

Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

3 0
3 years ago
How many students chose walking as their preferred method of transportation
vova2212 [387]
Is there a picture for viewing 
4 0
3 years ago
Solve: -3= 12x-5(2x-7)
leonid [27]

Answer:

x = -19

Step-by-step explanation:

-3= 12x-5(2x-7)

Distribute

-3= 12x-10x+35

Combine like terms

-3 = 2x +35

Subtract 35 from each side

-3-35 = 2x+35-35

-38 = 2x

Divide each side by 2

-38/2 = 2x/2

-19 =x

7 0
3 years ago
Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
Write each rate as a fraction in lowest terms. <br><br>4.20 for 36 potatoes
sweet-ann [11.9K]
$4.20 / 36 = $0.11667 per potato<span>
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8 0
3 years ago
Read 2 more answers
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