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mamaluj [8]
2 years ago
7

What is the value of Y

Mathematics
1 answer:
pshichka [43]2 years ago
6 0

Answer:

y = 150º

Step-by-step explanation:

The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:

2x + x + (x - 20) = 180

4x - 20 = 180

4x = 200

x = 50

x - 20 = 50 - 20

x - 20 = 30

y = 180 - 30

y = 150º

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Evaluate the expression. 5^2−4⋅6+11 Enter your answer in the box.
mart [117]

Explanation:

This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.

Do exponents first.

5^2=5*5=25

25-4*6+11

Then, multiply left to right.

4*6=24

25-24+11

And add/subtract left to right.

25-24=1

1+11=12

\boxed{=12}

Hope this helps!

Thanks!

Have a great day!


6 0
2 years ago
Please help me. There are 25 students in Mrs. Benatar‘s class at the beginning of the school year, and the average number of sib
adelina 88 [10]

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923

So the new average is 3.19

8 0
2 years ago
Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
6 0
3 years ago
What's the scale factor from AABC to ADEF?<br><br> A) 4/3<br> B) 3/4<br> C) 2/5<br> D) 5/2
guajiro [1.7K]

Answer:

D) 5/2

Step-by-step explanation:

Scale factor = AB/DE = 35/14 = 5/2

6 0
2 years ago
Read 2 more answers
Alpha false and true Which of the following statements are true? If false, explain briefly.
solmaris [256]

Answer:

A. False

B. True

C. True

D.True

Step-by-step explanation:

A. False . The significance level or alpha is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. 0.01 alpha is better than 0.05 alpha . 0.01 indicate a 1% risk of rejecting the null hypothesis when it is true .

B. True . If the p-value is less than alpha, we reject the null hypothesis . Therefore statistically significant.

C . True . If the p-value is less than alpha, we reject the null hypothesis

D. True . Alpha will be greater than p-value . Therefore we will reject .

8 0
2 years ago
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