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Lady_Fox [76]
3 years ago
6

A rectangle is divided into 8 equal parts. Two parts are shaded. What fraction is equvalent to the shaded area of the rectangle.

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer: 1/4

Step-by-step explanation:

Since the rectangle is divided into 8 equal parts and two parts are shaded, this simply means that 2 out of 8 parts are shaded which is 2/8.

The fraction that's equvalent to the shaded area of the rectangle will be:

2/8 = (2 × 1) / (2 × 4) = 1/4

The equivalent fraction is 1/4

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m∠R = 60, m∠S = 80, m∠F = 60, m∠D = 40, . Are the two triangles congruent? If yes, explain and tell which segment is congruent t
Lynna [10]
The correct answer is in file attached  
<span>we have

triangle RST
m∠R = 60, m∠S = 80  and m∠T=180-(80+60)=40</span> <span>RS=4
triangle EFD
m∠F = 60, m∠D = 40  and m∠E=180-(60+40)=80</span>
EF=4  

Therefore  
<span>The triangles RST  and EFD are congruents because they have two angles and the side common to them, respectively, equal.
This is the theorem of ASA (angle-side-angle).</span>
Explication
 Side common--------> RS=EF
<span>Angles RS------------- > m∠R = 60  m∠S = 80 </span>
<span>Angles EF------------- > m∠E = 80  m∠F = 60 </span>  
<span>Angles RS and Angles EF are equals</span>   
<span>
The segment which is congruent to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60 and 40.</span>

8 0
3 years ago
Which system of equations is equivalent to the system of equations shown?
Ivanshal [37]
<span>I can solve for x and y
A) 2x - 4y = 12
A) 2x = 4y + 12
A) x = 2y + 6
Substituting into B
B) 3* (2y +6)  - 5y = 20
B) 6y + 18 -5y = 20
B) y = 2
B) x = 10


</span>
4 0
4 years ago
What are the solutions of -x + 4x = X-4?
julsineya [31]

Answer: x = -2

Step-by-step explanation:

-x + 4x = x - 4

=> 3x = x - 4

=> 3x - x = -4

=> 2x = -4

=> x = -2

5 0
4 years ago
Read 2 more answers
Solve the matrix equation by using inverse matrices.
STALIN [3.7K]

Answer:

x=-7, y=2

Step-by-step explanation:

You are given the matrix equation

\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right] \cdot \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-18\\13\end{array}\right]

Find the inverse matrix for the matrix

\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]

1. The determinant is

\left|\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]\right|=2\cdot 3-(-1)\cdot (-2)=6-2=4

2.

a_{11}=2 \Rightarrow A_{11}=3\\ \\a_{12}=-2 \Rightarrow A_{12}=-(-1)=1\\ \\a_{21}=-1 \Rightarrow A_{21}=-(-2)=2\\ \\a_{22}=3 \Rightarrow A_{22}=2

3. Inverse matrix is

\dfrac{1}{4}\left[\begin{array}{cc}3&1\\2&2\end{array}\right]^T=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]

So, the solution of the equation is

\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]\cdot \left[\begin{array}{c}-18\\13\end{array}\right]=\\ \\=\dfrac{1}{4}\left[\begin{array}{cc}3\cdot(-18)+2\cdot 13\\1\cdot (-18)+2\cdot 13\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{c}-28\\8\end{array}\right]=\left[\begin{array}{c}-7\\2\end{array}\right]

8 0
3 years ago
Please help! ASAP! I will give brainliest!
krek1111 [17]

Answer:

Step-by-step explanation:

C

5 0
3 years ago
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