Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
Answer:
£84
Step-by-step explanation:
The given ratios are ...
A : N = 2 : 1
N : J = 3 : 1
Putting these together, we have ...
A : N : J = 6 : 3 : 1
There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.
Angad's share is 6×£14 = £84.
_____
<em>Check</em>
Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.
Answer:
60%
Step-by-step explanation:
To know the discount, we must know how much that $ 18 represents of the original price, as follows:
18/45 = 0.4
That is, $ 18 is 40% of $ 45
Therefore, to calculate the discount we must subtract what represents 45%, that is, 100%
100% - 40% = 60%
In other words, the discount is 60%
Answer:
First step of the problem
Step-by-step explanation:
The mistake that Carly did while solving the equation was that she multiplied -4 with 10, when there was no reason to. If she had to, it would be if -4 was 1 over -4 and then to get rid of that should would multiplied that on both sides. Both in this case there was no reason to.
Besides that, the real way to solve the problem is by doing these steps.
1. Distribute property
-4(7j+2) = 10 => take -4 times 7j and -4 times POSITIVE 2
-28j-8= 10
You may be wondering why can't we add 7j and 2 together? Well it's because they aren't the same variable if 7j was just 7, then you could add 7 and 2 together. And if 2 was 2j, you would add 7j and 2j together. This type of process is called "combine like terms." It's when you add or subtract all the terms that are the same variable.
2. Get "j" on one side
-28j-8= 10
<u> +8 +8 </u>
-28j= 18
With this we had to add 8 on both sides to get -28j on one side of the equation. This is how we ended up with -28j= 18
3. Get "j" all alone
<u>-28j= 18 </u>
18
j= -28/18
or j= -14/9
Why did we divide 18? Well if you divide 18 on both sides, you have one side cancel out and the other side resulting in the coefficient with the variable divided by the number, this will cause "j" to be alone or have an answer.
The right answer for "j" is actually -14/9
I hope this help you understand, if not don't be afraid to ask questions or even comment. Hope you have a great day, bye! :D
Answer:
110 chocolate cupcakes
88 vanilla cupcakes
Step-by-step explanation:
5chocolate to 4 vanilla
5x+ 4x = 9x
9x=198,
x = 22
22 * 5=110 chocolate cupcakes
22 * 4=88 vanilla cupcakes
CHECK: 88 + 110 = 198
