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MA_775_DIABLO [31]
3 years ago
5

10 = 2j – 4 what does j =

Mathematics
2 answers:
NARA [144]3 years ago
6 0

Answer:

j=7

Step-by-step explanation:

10=2j-4                          add 4 on both sides

10+4=2j                        

14=2j                                divide by 2 on both sides

<u>7=j</u>

Usimov [2.4K]3 years ago
3 0
J = 7 (add four to both sides then divide by 2 to get j by itself)
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Help on how to do this problem​
siniylev [52]

Hello!

We can first find RZ. A midpoint is the point right in the middle of a line segment. It splits the line into two equivalent lengths. If z is the midpoint of RT, it therefore splits RT into two equivalent segments, RZ and ZT. Thus, the length of RZ is equivalent to ZT, therefore, the length of RZ is 150.

Next, find RT. We know that RT is made of RZ and ZT, and we know the side lengths of both - 150 and 150. Therefore, add these two together to get the length of RT. 150 + 150 = 300.

Finally, find x. We know that RZ is equal to 150, and we are given 8x - 10 = RZ. Therefore, we know 8x - 10 = 150. Solve this equation for x by isolating x.

8x - 10 = 150

8x = 160

x = 20

Therefore, x = 20.

Your final answer is choice C: x = 20, RZ = 150, and RT = 300.

Hope this helps!

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4 years ago
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I’ll give you brainliest for the first person with an answer
raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving <u>162mm^2</u>

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving <u>162mm^2</u>

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get <u>108mm^2</u>.

Area of the rectangle: lw, so 15mm * 9mm = <u>135mm^2</u>

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, <u>378mm^2</u>

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, <u>162mm^2 </u>

Area of the rectangle at the very bottom = lw, 21mm * 9mm = <u>189mm^2</u>

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

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4 0
2 years ago
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