I am confused on The fraction part..........

Answer:

For each of them, you would need to isolate the variable.

Step-by-step explanation:

Okay so for the first one, you would need to isolate the x.

x/-2 = 3

Since the "/" represents division, you need to do the inverse of dividing which is multiplication. You would need to multiply on both sides of the equation.

x = 3 x -2

x = -6

And there you have it, the answer for the first problem!

You again, isolate the x for the second equation as well.

-9x = -9

Since the x is directly next to the 9, indicating that it is multiplication. Do the inverse of multiplication which is division. Divide by -9 on both sides.

x=-9

Since -9/-9 cancels each other out, that leaves x by itself.

x = -9/-9

x = 1

You only end up cancelling out the number next to the variable, not the one on the other side. (if you are wondering why I didn't cross it out)

As for the third one, you can carry the -5 over to the -4, but since the inverse of -5 is +5, you add 5 to -4.

x = 1

As easy as that! You don't do the same as the two questions before because the number isn't right next to the variable.

For the fourth one, you isolate the x once more. You do the inverse of multiplication which is again, division. And again, the -5/-5 cancel out!

x = -5/25

x = -0.2

And finally, the last one!

You repeat the same steps as the third one. Add 2 on each side and cancel out 2 + 2 on the x's side.

x = 10 +2

x = 12

And that's all your answers. Hope you understood :)

Final answer:

Sendy still needs to drive 148 more miles to reach her parents' lake house, which we found by subtracting the 97 miles she has already driven from the total 245 miles.

Explanation:

The subject here is Mathematics because we're dealing with a subtraction problem. The question is essentially asking us to subtract the miles that Sendy has already driven from the total distance she needs to travel. In this case, that would be '245 miles - 97 miles'.

1.  
2. Start with the total distance that Sendy needs to travel, which is 245 miles.
3.  
4. Subtract the distance she has already driven, which is 97 miles.
5.  
6. The result will be the number of miles Sendy still needs to drive to reach her parents' lake house.

Let's go ahead and do the subtraction:

•  
• 245 miles - 97 miles = 148 miles

So, Sendy still has 148 miles to drive before she arrives at her parents' lake house.

Learn more about Subtraction Problem

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Answer:

The interior of the triangle are congruent as they are equal in size at point at point l, k, m proof is the line of symmetry shows a 4 way rotation.

We know from how the line represents 2 triangles that equally make an equal sided square should we draw lines

For the g, h, i, j to show a 4 way rotation- should we draw 2 more triangles.

The second shape has congruent angles as the rotation is 2 and angles shown indicate the symmetrical value as midway point are the same also. So while all 3 sets of the second angles are congruent if we make a square shape 8/8 angles have the same degree as one another as there will be 4 triangles in shape 1 and shape 2.

Whilst the rotation is less, this is simply as the base is on the outside and sides are the same- creating a wider perimeter as it enlarges the shape. this may confuse but to prove again we can compare a rotation to equal curve triangles folded within a regular circle shape or just like the first example create 4 triangles and draw 2 lines of symmetry. just like folding a regular square. For full flip rotation within a shape we have found side length is not equal but angles must be 3 of the same for 2 way rotation within a larger shape and 3 equal angles with longer length for rotation within its first found square shape.

Step-by-step explanation:

Answer:

Both are congruent

Step-by-step explanation:

7. SSS congruence

KN=KM ........Side

KI=MI ........Side

LN is a common side

Thus by SSS congruence both triangles are congruent

8. ASA congruence

angles PRO=TRS ..........vertically opposite angles are equal

angles POR=RTS ..........given to be equal in the question

angle OPR=180-PRO-POR ...angle sum property of triangle

angle RST=180-RTS-TRS ......angle sum property of triangle

so OPR=RST as PRO=TRS and POR=RTS

line PO=TS .......given in question

so

OPR=RTS ...........angle

line PO=TS .........side

POR=RTS ...........angle

Thus by ASA congruence both triangles are congruent