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kozerog [31]
3 years ago
6

A number has two digits. The digit at tens place is four times the digit at units place. If 54 is subtracted from the number, th

e digits are reversed. Find the original number.
Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

"The digit at tens place is four times the digit at units place."

How many possible numbers are there?

1 in the units place: 41

2 in the units place: 82

If you try 3 in the units place, 4 * 3 = 12, you'd get 123, and now it's a three-digit number, so the only possibilities are 41 and 82.

41 or 82

If you subtract 54 from 41, you get a negative number, so 41 cannot be the number.

82 - 54 = 28, which has the digits of 82 in reverse order.

Answer: 82

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max2010maxim [7]
Here’s the answer and each step I took to solve it. With the example I made on the side just continue to repeat that for each one to get the answers. You just replace that one number for the X to take the place for the next X value as you go down the table solving them.

7 0
3 years ago
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
denis-greek [22]

Answer:

Step-by-step explanation:

y + 2 = 12(x - 3)

y + 2 = 12x - 36

y =12x - 38

7 0
3 years ago
I desperately need this question answered. See attached image thanks so much
Dahasolnce [82]

For this case we must follow the steps below:

step 1:

We place each of the given points on a coordinate axis

Step 2:

We join the AC points (represented by the orange line)

We join the BD points (represented by the blue line)

It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.

In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: m1 * m2 = -1

In this case, the slope of the orange line is m1 = 1 and that of the blue line is m2 = -1

Then m1 * m2 = 1 * -1 = -1, it is verified that they are perpendicular.

Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.

Answer:

See attached image

Option D

6 0
3 years ago
What is the value of y?<br> O A. Cannot be determined<br> O B. 60<br> O C. 36<br> O D. 120<br> HELP!
Angelina_Jolie [31]

Answer: 60

Step-by-step explanation:

The three interior (inside) angles in a triangle will always add up to 180°.

60 + 60 + y = 180

120 + y = 180

-120

y = 60

60 * 3 = 180

8 0
3 years ago
Read 2 more answers
Can someone please help me with this question and show the steps?
Katena32 [7]
<h2>Answer:</h2>

D. \ 408in^2

<h2>Step-by-step explanation:</h2>

This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:

s=s_{square}+4s_{triangle}

FOR THE SQUARE:

s_{square}=L^2 \\ \\ L=12in \\ \\ s_{square}=12^2=144in^2

FOR THE TRIANGLE:

s_{triangle}=\frac{bh}{2} \\ \\ b=12in \\ h=11in \\ \\ s_{triangle}=\frac{12\times 11}{2}=66in^2

Finally:

s=s_{square}+4s_{triangle} \\ \\ s=144+4(66) \\ \\ s=144+264 \\ \\ \boxed{s=408in^2}

7 0
3 years ago
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