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Ann [662]
3 years ago
14

The rectangular prism shown is formed by six intersecting planes.

Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0

Answer:

Line line containing EF

Step-by-step explanation:

The segment EF is the only part that both planes share.

liubo4ka [24]3 years ago
4 0

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

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Find x if EC is a bisector
OLga [1]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

If EC is a bisector of AC and CD, then AC is equal to CD.

Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;

3x+6 = 2x+14

subtract 6 from both sides

3x+6-6 = 2x+14-6

3x = 2x+8

subtract 2x from both sides

3x-2x = 2x+8-2x

x = 8

<em>Hence the value of x is 8</em>

6 0
4 years ago
Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/
algol13

Answer: 24\ liters

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

 1. In the first part of the trip the amount of gasoline the car used can be expressed as:

 \frac{2}{3}x

2. After the first part of the trip, the remaining was:

x-\frac{2}{3}x=\frac{1}{3}x  

3. In the second part of the trip the car used \frac{1}{2} of the remaining. This is:

(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

\frac{2}{3}x+\frac{1}{6}x=20

6. Finally, you must solve for "x" in order to find its value. This is:

\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24

3 0
3 years ago
Find the error in the solution, and then solve it correctly.
melamori03 [73]

We could find the error first, but if we solve the equation, we can compare our answers to find the error. So,

7x + 12 + 3x = 8

10x + 12 = 8

10x = -4

x = -4/10

x = -2/5.

When we compare the two, we see that our second line is vastly different, and we can easily isolate the mistake, finding that it occurs when they disregard the variable in the 3x term and subtract 8 by 3 rather than combining the terms 3x and 7x together.

8 0
3 years ago
Read 2 more answers
Nine and four thousand one hundred twelve ten-thousandths
navik [9.2K]
Please specify, are we multiplying, adding, dividing or subtracting? Or am I supposed to transform these into number form?
6 0
3 years ago
Dons signature coffee blend is 60% dark roast and 40% light roast. He has 10 kg of blend A, which is 80% dark roast and 20% ligh
astraxan [27]

Answer

Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .

To proof

As given

Dons signature coffee blend is 60% dark roast and 40% light roast.

He has 10 kg

60 % is written in the decimal form

= \frac{60}{100}

= 0.6

40 % is written in the decimal form

= \frac{40}{100}

= 0.4

Now 60% dark roast of  10 kg = 0.6 ×10

                                                 = 6 kg

Now 40% of  10 kg = 0.4 × 10

                               = 4 kg

As given

He has 10 kg of blend A, which is 80% dark roast and 20% light roast  i.e 80% of the 6kg is dark roast and 20% of the  4kg is light roast .

80% is written in the decimal form

= \frac{80}{100}

= 0.8

80% of the 6kg is dark roast = 0.8 × 6

                                                = 4.8 kg

20% is written in the decimal form

= \frac{20}{100}

= 0.2

20% of the 4kg is light roast = 0.2 × 4

                                               = .8kg

Total kilograms of blend A will don need to use to make 10 kg of his signature blend =  4.8 kg + .8 kg

                          = 5.6 kg

Hence proved




 


8 0
3 years ago
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