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trapecia [35]
3 years ago
15

Solve the equation for x. show each step of the solution. name the justifications for each step of the solutions.

Mathematics
1 answer:
sweet [91]3 years ago
5 0
9/2{8-x}+36=102-5/2{3x+24}
you first use 9/2 to open brackets
9/2*8=36,
9/2*x=9/2x
36-9/2x=102-5/2{3x+24}
5/2*3x=15/2x+60
36-9/2x=-15/2x-60
36+60=15/2x+9/2x
96=12x you then divide and the answer obtained will be 8.
x=8
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I need to know the answer
Lubov Fominskaja [6]
So we know the lines are parallel.
Thus, the equation should look something like this:
y = 5x + b

Now, we have to solve for b.
Plug x=1 and y=2 into the equation to solve for b
2 = 5 + b
Subtract both sides by 5
-3 = b
b = -3

Plug that value into the equation.
y = 5x - 3

That's your answer.
Have an awesome day! :)
4 0
3 years ago
Troy shares a family bag of 24 Jet Plane
nlexa [21]

Answer:

Troy ate 7 lollies.

Step-by-step explanation:

You start out by finding how many lollies Troy's two friends ate out of the 24 lollies. To find out how much Tane ate out of the 24 Jet Plane lollies you simply <u><em>divide 24 by the denominator</em></u> --> 24/3=8, <em><u>then you multiply your answer by the numerator</u></em> --> 8x1=8, so Tane ate 8 of the 24 lollies. Repeat this same process for Levi, and your answer should be 9.

Because Tane ate <u>8</u><u> out of the 24</u> lollies and Levi ate <u>9</u><u> out of the 24 lollies</u>, that indicates that <u>17</u><u> out of the 24 lollies</u> are gone (just add your results, 8+9=17). This leaves Troy with only 7 lollies (<em><u>subtract 17 from 24</u></em> to find out how many lollies are left, 24-17=7).

4 0
3 years ago
Read 2 more answers
Given a 30-60-90 triangle with a long leg of 9 inches, determine the length of the hypotenuse
lianna [129]

A Quick Guide to the 30-60-90 Degree Triangle

The 30-60-90 degree triangle is in the shape of half an equilateral triangle, cut straight down the middle along its altitude. It has angles of 30°, 60°, and 90°. In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3.

Note: The hypotenuse is the longest side in a right triangle, which is different from the long leg. The long leg is the leg opposite the 60-degree angle.

Two of the most common right triangles are 30-60-90 and the 45-45-90 degree triangles. All 30-60-90 triangles, have sides with the same basic ratio. If you look at the 30–60–90-degree triangle in radians, it translates to the following:

30, 60, and 90 degrees expressed in radians.

The figure illustrates the ratio of the sides for the 30-60-90-degree triangle.

A 30-60-90-degree right triangle.

A 30-60-90-degree right triangle.

If you know one side of a 30-60-90 triangle, you can find the other two by using shortcuts. Here are the three situations you come across when doing these calculations:

Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.

Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.

Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.

Finding the other sides of a 30-60-90 triangle when you know the hypotenuse.

Finding the other sides of a 30-60-90 triangle when you know the hypotenuse.

In the triangle TRI in this figure, the hypotenuse is 14 inches long; how long are the other sides?

Because you have the hypotenuse TR = 14, you can divide by 2 to get the short side: RI = 7. Now you multiply this length by the square root of 3 to get the long side:

The long side of a 30-60-90-degree triangle.

6 0
3 years ago
What is -5 3/4 - 3 1/2​
lubasha [3.4K]

Simplify the expression.

Exact Form:

−37/4

Decimal Form:

−9.25

Mixed Number Form:

−9 1/4

3 0
3 years ago
Read 2 more answers
Triangle PQR lies in the xy-plane, and the coordinates of vertex Q are (2, –3). Triangle PQR is rotated 180° clockwise about the
trasher [3.6K]

Answer:

(2,3)

Step-by-step explanation:

We are given that triangle PQR lies in the xy-plane, and coordinates of Q are (2,-3).

Triangle PQR is rotated 180 degrees clockwise about the origin and then reflected across the y-axis to produce triangle P'Q'R',

We have to find the coordinates of Q'.

The coordinates of Q(2,-3).

180 degree clockwise  rotation about the origin  then transformation rule

(x,y)\rightarrow (-x,-y)

The coordinates (2,-3) change into (-2,3) after 180 degree clockwise rotation about origin.

Reflect across y- axis the transformation rule

(x,y)\rightarrow (-x,y)

Therefore, when reflect across y- axis then the coordinates (-2,3) change into (2,3).

Hence, the coordinates of Q(2,3).

5 0
3 years ago
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