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never [62]
4 years ago
11

A rectangle has four right angles. What other shape has four right angles?

Mathematics
1 answer:
julia-pushkina [17]4 years ago
4 0

Answer:

Square

Explanation:

A square is the only other shape with 4 right angles

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0
3 years ago
1680 at 12% for 6 months
vfiekz [6]

Answer:

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8 0
3 years ago
99 POINTS PLZ HELP Which explanation best describes the answer to this problem? At the honey farm there were 35 bees in a hive.
LiRa [457]

Answer:

910 bees

Step-by-step explanation:

There are 35 bees in a hive and we have 26 hives.

Take the number of hives and multiply by the number of bees per hive

26*35 =910

There are 910 bees total

7 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. A system of equations and its solution are given system A x-y=7 -3x+9y=-39 s
galina1969 [7]

Answer:

Step-by-step explanation:

x-y=7

-3x+9y=-39

Divide the second equation by 3

-x +3y = -13

Add this to the first equation

x-y=7

-x +3y = -13

----------------------

0x +2y = -6

Divide by 2

2y/2 = -6/2

y = -3

Now find x

x-y = 7

x -(-3) = 7

x+3 = 7

Subtract 3 from each side

x = 4

(4,-3)

Or by substitution

x-y=7  

solve for x

x = 7+y

-3x+9y=-39

Substitute y+7 in for x

-3(7+y) +9y = -39

Distribute

-21 -3y +9y = -39

Combine like terms

-21 +6y = -39

Add 21 to each side

6y = -18

4 0
3 years ago
Solve the equation for x: 3(m+7)=6(m+2)
Morgarella [4.7K]

Answer:

3

Step-by-step explanation:

There is no x in the equation, so I will assume solving for m

Distribute:

3m + 21 = 6m + 12

Subtract 3m and 12

3m = 9

Divide by 3

m = 3

8 0
3 years ago
Read 2 more answers
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