Answer:
x = 9º
∠B = 40º
Step-by-step explanation:
5x-5º = 3x+13º
<em>[add 5 to both sides]</em>
5x = 3x+18º
<em>[subtract 3x from both sides]</em>
2x = 18º
<em>[divide each side by 2]</em>
x = 9º
/ / / / / / / / / / / / / / / / / / /
3x+13º = 3(9º)+13º=27º+13º = 40º
Answer:
D = 4, Z = 24
Step-by-step explanation:
6D+3Z = 96
5D+4Z = 116
multiply top by 5 and bottom by -6
top equation = 30D+15Z = 480
bottom equation = -30D-24Z = -696
Cancel 30D and -30 D
top equation = 15Z = 480
Bottom equation = -24Z = -696
15Z - 24 Z = 480 - 696
-9Z = 216
Z = 216/9
Z = 24
Now that we have the value of Z, we can substitute it in any equation to find D
6D + 3(24) = 96
6D + 72 = 96
6D = 96 - 72
6D = 24
D = 24/6
D = 4
Answer:
£24 : £32
Step-by-step explanation:
Add the parts of the ratio 3 + 4 = 7
Divide the amount by 7 to find the value of one part
£56 ÷ 7 = £8 ← one part of the ratio
3 parts = 3 × £8 = £24
4 parts = 4 × £8 = £32
<h3>
Answer: Choice A</h3>
is not the same as 
The base of the log is p, while the base of the exponential is b. The two don't match. If it said 
then it would be a valid statement since the bases are both p.
-----------------
Extra info:
Choice B is a valid statement because Ln is a natural log with base 'e'
Choice C is valid as any square root is really something to the 1/2 power
Choice D is valid for similar reasons mentioned earlier
