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VMariaS [17]
3 years ago
13

Every rectangle with four congruent sides is a square

Mathematics
1 answer:
Julli [10]3 years ago
6 0

The statement is true.

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Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne
ANEK [815]

Answer:

The matrix equation is \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

 more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

 than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

6 0
2 years ago
Read 2 more answers
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find m2C in the quadrilateral.
saul85 [17]

Answer:

m∠C = 107°

Step-by-step explanation:

there are 4 sides so we first need to find the total interior angle:

  • ( 4 - 2 ) * 180 = 360°

m∠C = 360° - 90° - 90° - 73°

         = 107°

8 0
2 years ago
The area of triangle ABC is 1.89 square feet. The measure of side c is ______.
Feliz [49]

we are given

Area is 1.89

A=40

b=2.8

now, we can use area formula

A=\frac{1}{2} c*b*sin(A)

1.89=\frac{1}{2} *c*2.8*sin(40)

now, we can solve for c

we will get

c=2.10023.............Answer

7 0
3 years ago
Find an equation in slope-intercept form of the line that has slope –2 and passes through point a (1,9)​
user100 [1]

Answer:

Step-by-step explanation:

y - 9 = -2(x - 1)

y - 9 = -2x + 2

y = -2x + 11

8 0
3 years ago
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A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.
horrorfan [7]
The distance beween the points is 3\sqrt{} 13
3 0
3 years ago
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