First, the angles of triangle MNP add up to 180º. Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.
Now angle N is congruent to angle U.
2x - 50 = 14
2x = 64
x = 32
Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.
13 = 62 - y
y = 49
Step-by-step explanation:
Since we have given that
Number of muffins Diana sold at the bake sale = 336
Number of muffins Bob sold at the bake sale = 287
Now, here we are using the method of estimation i.e. rounding the integers to nearest ones.
By estimation, we get
Number of muffins Diana sold at the bake sale = 340
Number of muffins Bob sold at the bake sale = 290
So,
Difference between them is given by

Hence, Bob sold 50 fewer muffins than Diana.
Answer:
1%
Step-by-step explanation:
\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}
100% represents the starting balance: $50.
Method 1
Express the ending balance as a percentage of the starting balance:
\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=
$50
$50.50
=
\,\,1.01
1.01
1.01\times100=
1.01×100=
\,\,\color{darkviolet}{101\%}
101%
\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}
Subtract the starting 100% to get the percent interest:
\color{darkviolet}{101\%}-\color{blue}{100\%}=
101%−100%=
\,\,\boxed{\color{green}{1\%}}
1%
Answer:
0
Step-by-step explanation:
x and x are same terms.