Mathematics, 11.01.2020 05:31 jessiejohnsonjr123

Flag for review if the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k ? (1) the tens digit of k + 9 is 3. (2) the tens digit of k + 4 is 2.

Answers: 3

Show answers

Answers

Answer from: snoopyqueen2597

Statement 1 alone is sufficient and Statement 2 is not.

Step-by-step explanation:

Consider Statement 1:

Choose numbers to resolve it,

If unit digit of k takes from 1 to 9, then adding 9 would definitely increase the tens digit by 1, so it gives 2. And this is sufficient to answer the question.

Consider statement 2:

If unit digit takes any number between 1 to 5, then as you add, the 4 tens digit would remain the same.

So in this case it would be 2, but if unit digit take from 6 to 9, tens digit would increase by 1, in which case it becomes 1.

Therefore, Statement 1 alone is sufficient and Statement 2 is not.

Answer from: Quest

i think the amount would be $140.62

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.