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pantera1 [17]
2 years ago
5

5. The graph of a system of two equations is a pair of parallel lines. Does the system have a solution? Explain​

Mathematics
1 answer:
Anestetic [448]2 years ago
8 0
An inconsistent system has no solution. The lines are exactly the same, so every coordinate pair on the line is a solution to both equations.
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The ecology club wants to collect 200 bags of trash for a cleanup.Before lunch they collected 87 bags.After lunch they collected
Naddika [18.5K]

Answer:

18 more bags

Step-by-step explanation:

87 + 95 = 182

200 - 182 = 18

8 0
3 years ago
A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea
kakasveta [241]
Since you have the length and the area, you can assume the width

1496/44 = Width              Because  Area = L * W

Width = 34

So this is a ratio problem

44/11 = ratio

So, the ratio is 4:1
So since we have the width, we can divide the width of the school banner by 4 because of the scale

34/4 = 8.5 = width of the sign

The area of the sign is 8.5*11 = 93.5

and the perimeter is just that,

8.5 * 2 + 11*2 = 39

Perimeter = 39 inches

Area = 93.5 inches
²

3 0
3 years ago
Read 2 more answers
For which value of b would x^2 + bx - 24 be prime?<br><br> a. 3<br> b. 5<br> c. 10<br> d. 23
Lapatulllka [165]

Answer:

3

Step-by-step explanation:

24 + (-1) = 23, 12 + (-2) = 10, 8 + (-3) = and 6 + (- 4) = 2, none of the sums are equal to 3, therefore b = 3 would give a prime quadratic. The correct answer is then A. 3

5 0
2 years ago
In how many ways can Joseph, Michael, Chris, Katherine, Rebecca and Kyle stand in a line?
Andrews [41]

Answer:

720

Step-by-step explanation:

I got it from Quora

We can use 6 people without repetition, which means we simply have to use counting principle 1.

A number of n objects can be arranged in n! ways.

Total number of combinations possibles = 6! =720

6 0
3 years ago
Two triangles are congruent if:
Flura [38]

Answer:

A and D. SSS theorem

B. ASA or AAS theorems

C. SAS theorem

E. AAS theorem

Step-by-step explanation:

SSS theorem states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

SAS theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS theorem states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

ASA theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Thus:

A. If each pair of corresponding sides is congruent, then two triangles are congruent by SSS theorem.

B. If two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent, then two triangles are congruent by ASA or AAS theorems.

C. If two pairs of corresponding sides and the angles included between them are congruent, then two triangles are congruent by SAS theorem.

D. If  three sides of one triangle are congruent to three sides of a second triangle, then two triangles are congruent by SSS theorem.

E. If two angles and a non-included sides of each triangle are congruent, then two triangles are congruent by AAS theorem.

6 0
3 years ago
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