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Firdavs [7]
3 years ago
7

Given PQRS is a square, solve for x.

Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0

Answer:

x = 11

Step-by-step explanation:

The angles in a square are right , that is 90°

The diagonals bisect the angles , then

6x - 21 = 45 ( add 21 to both sides )

6x = 66 ( divide both sides by 6 )

x = 11

siniylev [52]3 years ago
6 0

Step-by-step explanation:

In the given figure, we can see that there is a square, and know that diagonals of squares bisect each other at 90° , so

Angle PTQ = 90°

( since they bisects each other at 90° )

now,

since the diagonals of the square are equal and they are bisected by each other so,

PT = TQ

then, Angle TPQ = Angle TQP

( since, PT = TQ , Opposite sides are equal )

In triangle PTQ ,

Angle TQP + Angle TPQ + Angle PTQ = 180°

( since, sum of all interior angles of a triangle is 180° )

=》Angle TQP + Angle TPQ + 90° = 180°

( PTQ = 90° )

=》2 × Angle TQP = 90°

( TPQ = TQP )

=》TQP = 45°

From here,

TQP = 45° = 6x - 21

=》6x - 21 = 45°

=》6x = 45 + 21

=》6x = 66

=》x = 66 / 6

=》x = 11

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Select the coordinates of two points on the line y = 8. (2 points)
Pie

Answer: D  (0,8)   and (8,8)

Step-by-step explanation:

The equation y= 8  can also be written as y= 0x + 8 which means the slope is always zero.

so if you put in 0 for x you will get  8  as if (0,8)

and if you put in 8 for x you still get 8  because 8 times 0 is 0 plus 8 is  8 as if (8,8)

4 0
3 years ago
Solve the system of the linear equation using any method:<br> 2x+5y=4<br> 4x+7y=11
mr_godi [17]
Multiply the first equation by 2:
4x+10y=8
Subtract the second equation from this so the 4x cancels:
3y = -3
y = -1
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So (x,y) = (-1,4.5)
3 0
3 years ago
Read 2 more answers
Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combine
Arte-miy333 [17]
X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....

x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000

x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
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x = 9,000

2x + 2z = 22,000
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z = 4000/2
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x + y + z = 15,000
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first venture (x) = 9,000 <==
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7 0
3 years ago
Read 2 more answers
Find the measure of each numbered angle for each figure
cricket20 [7]

Answer:

Angle 1 is 58. Angle 2 is 32.

Step-by-step explanation:

The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.

6 0
3 years ago
Hi can someone help me on this please? I am having trouble understanding this one :) thx
fomenos

Answer:

I would say its the bottom one

Step-by-step explanation:

The top one goes to five while the bottom only goes to four, plus you cant have a negative amount of people you can only have from 0 to infinity amount of people.

4 0
3 years ago
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