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Inga [223]
3 years ago
10

Solve for X Please and thanks

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

<u>Given</u>:

The measure of ∠ABD is (4x + 15)°

The measure of ∠DBC is (13x + 7)°

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property that every angle in a rectangle is 90°

Hence, the value of x can be determined by adding the two angles and equating to  90°

Thus, we have;

\angle ABD+\angle DBC=90^{\circ}

Substituting the values, we have;

4x+15+13x+7=90

              17x+22=90

                      17x=68

                          x=4

Thus, the value of x is 4.

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Find from u.<br><br> -12u = -24
Bingel [31]
Well, to find u, we have to remove all that is attached to it so the equation can just be u=...
   To find u, you have to remove what is attached to it, and that is -12. Then you have to look at the relationship between the -12 and u. The relationship is multiplication, and the opposite of multiplication is division, so all you have to do is divide both sides by -12. So;
-12u/-12=-24/-12
   The -12 cancels the -12, leaving u and the - in 12 cancels the - in 24. Leaving 24/12. And that is 2. Written as;
u=2
   Hope i helped. If you have any more problems, let me know.
5 0
3 years ago
Read 2 more answers
The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
Minchanka [31]

The small number is 2.

The large number is 3.

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

Let the two consecutive numbers be x and x+1.

  • x be the small integer.
  • x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

3 0
3 years ago
Divide x4+2x2−24<br> by x+2
Ipatiy [6.2K]

\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{  x+2  } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8  \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\  _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}&   \\  _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }

\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}

7 0
2 years ago
Read 2 more answers
Can you please help!! I need it ASAP! ;(
Ivahew [28]

Answer:

-8 just add them together

8 0
2 years ago
Order least to greatest 0.5,3.16,0.75,11/48
lys-0071 [83]

11/48=.23

11/48, .5, .75, 3.16

Hope this helps

8 0
3 years ago
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