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>
Answer: 
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:

2. After the first part of the trip, the remaining was:
3. In the second part of the trip the car used
of the remaining. This is:

4. The total amount ot gasoline used in this trip was 20 liters.
5. Then, with this information, you can write the following equation:

6. Finally, you must solve for "x" in order to find its value. This is:
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.
Please specify, are we multiplying, adding, dividing or subtracting? Or am I supposed to transform these into number form?
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

= 0.6
40 % is written in the decimal form

= 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

= 0.8
80% of the 6kg is dark roast = 0.8 × 6
= 4.8 kg
20% is written in the decimal form

= 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