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ipn [44]
3 years ago
8

Prove segment LJ = segment MO

Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0

hope it helps .........

......

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Use Cramer’s Rule to solve system of equation.
alisha [4.7K]

\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108

W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6

5 0
3 years ago
A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
nikitadnepr [17]

Answer:

Broken = 7x

Step-by-step explanation:

Left = x

x(7x) = 30

(7x² = 30)⅐

x² = 4.285

√x² = √4.285

x = 2.07

Left = 2.07 meters

Broken = 7 x 2.07 = 14.49 meters

i hope this is correct!

good luck on ur test!

5 0
3 years ago
Lean wants to giftwrap a present she got for her little brother. how many square inches of giftwrap will be needed to cover a bo
Natalka [10]
Check the picture below.

so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.

the front and back are two 5x3 rectangles

the left and right are just two 3x7 rectangles

and the top and bottom are just two 5x7 rectangles

so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.

4 0
4 years ago
For quadrilateral ABCD, determine the most precise name for it. A(-2,3), B (9,3), C(5,6) and D(2,6). Show your work and explain.
Arisa [49]
For this case, the first thing to do is to graph the ordered pairs given in the problem.
 Then, join the points to see the quadrilateral formed.
 In this case the quadrilateral is a trapezoid.
 The trapezoid is a geometric figure with four sides, of which only two are parallel.
 Answer: 
 trapezoid
 See attached image.

4 0
4 years ago
How many centimeters are in 4.4 inches? [1 inch = 2.5 cm]
Talja [164]
1 inch = 2.5 cm....so 4.4 inches = (4.4 * 2.5) = 11 cm
8 0
3 years ago
Read 2 more answers
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