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FromTheMoon [43]
3 years ago
10

Mary is caring for 25 animals while her neighbors are on vacation. The number of cows is 3 greater than the number of pigs. How

many pigs is she taking care of?
Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0
To solve, you make a systems of equation:
x+(x+3)=25, the x representing the number of pigs. Since there is no multiplication and following the order of operations, you add the x’s to get 2x+3=25. Then, you subtract 3 from both sides to get 2x=22, then divide by 2 on both sides to isolate the variable. Therefore, x=11 and Mary is taking care of 11 pigs.
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If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
scZoUnD [109]

Answer:

Option B m<ZA+m<ZB = 155° is correct option.

Step-by-step explanation:

We know that sum of angles of triangle is equal to 180°

And Isosceles triangle, 2 angles are same

So, let  Angle 1 = x

Angle 2 = x

Angle 3 = 130°

Finding values of angle x

x+x+130=180

2x=180-130

2x=50

x=25

So, Angle 1 = 25 °

Angle 2 = 25°

As, angle B is greater than 90°, the sum of angles added must be greater than 90°

So, Option A, C and D can't be correct, as their sum is less than 90°

Option B m<ZA+m<ZB = 155° is correct option.

Verify:

m<ZA = 25° (as found earlier)

m<ZB = 130° (given)

So, m<ZA+m<ZB = 155°

25°+130° = 155°

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