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3 years ago

Plz help with question 4 and explain ! Will give branliest answer to whoever gives the most thorough explanation

Mathematics

1 answer:

Mumz [18]3 years ago

3 0

Answer: 35 units^2

Step-by-step explanation: The trick is not to try and calculate the area of the triangle, but the spaces around it. Calculate all the white triangles in the rectangle then subtract them to the rectangle.

14*3/2=21

8*8/2=32

6*8/2=24

21+32+24=77

8*14=112

112-77=35

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

3 years ago

Which statement best describes her claim?

Norma-Jean [14]

Answer:

B: She is incorrect because the segments do not have the same length.

Step-by-step explanation:

3 0

3 years ago

Determine the solution to the equation below.

mezya [45]

Answer:

excuses me I don't have point to ask questions so I write a thing instead of answering ❤

8 0

3 years ago

What is the length of missing side b in the figure below?

Anna11 [10]

According to the theory
b^2 = (13)^2 - (7)^2
b^2 = 169 - 49 = 120
b= root(120)
b= 10.95 cm

4 0

3 years ago

Read 2 more answers

Need reasons answer for this please!

Ugo [173]

Step-by-step explanation:

1.Given .

2.Being vertically opposite angle.

3.Because sum of all interior angle of a triangle is always 180°.

4.From the statement of 3 number.

5.Because angle 4 = angle 3 and angle 6= angle 1 .

6.(suppose ,< is angle sign) solving this equation,

m<1 + m<2+ m<3 = m<3 + m<5 + m<1

3 0

3 years ago