Mathematics, 16.03.2020 01:56 ShlomoShekelstein

The sum of four consecutive integers is −46. What is the smallest of these integers?

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Answer from: bxbykyah

The integers are -13, -12 and -11.

Step-by-step explanation:

Let the four numbers be n, n+1, n +2, and n+3

Therefore (n )+ (n+1 )+(n+2) + (n +3) = -46

4n + (1 +2+3) = -46

4n + 6= -46

Subtract 6 from both sides to get the value of n

4n +6 - 6= -46 -6

4n = -52

Divide both sides by 4

n = -52/4

n = -13

Therefore, n + 1 = -13 + 1= -12

n + 2= -13 + 2 = -11

The integers are -13, -12 and -11.

I hope this helps, please mark as brainliest.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

why are you giving so many marks make your marks less and make a question list so that i can understand your question very nicely

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