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kolezko [41]
3 years ago
11

The cost of 5 tables exceeds the cost of 8 chairs by Rs.150. Write the linear equation in two variables

Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

The  linear equation in two variables is 5u - 8v  = 150 .

Step-by-step explanation:

As given

The cost of 5 tables exceeds the cost of 8 chairs by Rs150 .

Let us assume that the cost of one table be u .

Let us assume that the cost of one chairs be v .

Than the equation becomes

5u + 150 = 8v

Simplify the above equation

5u - 8v  = 150

Therefore the  linear equation in two variables is 5u - 8v  = 150 .




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What is the reason for Statement 3 of the two-column proof?
Ivenika [448]

Refer to the attached image.

Given:

The measure of \angle JMK= 52^\circ and \angle KML= 38^\circ.

Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove: \angle JML is a right angle.

Proof:

  Statements                                                                                 Reasons

1. m \angle JMK=52^\circ                                            Given

2. m \angle KML=38^\circ                                           Given

3. m \angle JMK+m \angle KML=m \angle JML  

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. 52^\circ+38^\circ = m \angle JML   Substitution property of equality

5. 90^\circ = m \angle JML                  Simplification

6. \angleJML is a right angle.      Definition of right angle

8 0
3 years ago
Using polygon STUVW what is m angle U ?
bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\

To find :

\angle U = x = ?

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180

Here we have n = 5 on substituting the values we get

\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72

Therefore,

m∠ U is 72°.

4 0
3 years ago
Lisa's store collects 5% sales tax on every item sold if if she caused if she collected $22. In sales tax what was the cost of t
Advocard [28]
Im assuming the question is asking: if she collected $22 in sales tax what was the cost of the items her store sold.  you should make sure you type the question correctly otherwise it'll be hard to answer.

going with my assumption of what the question is, we want to find the total cost of all items her story sold.  let that cost be c. since there is 5% sales tax on everything and we know the sales tax is worth $22,m we have:

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dividing both sides by 5% (or .05) gives:
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A new lawn has a perimeter of 278ft. And a width of 64ft. A bag of grass seed will cover 384ft of ground. How many bags of grass
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Answer:

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(0,-4) graph the vertex
arsen [322]

Answer:

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5 0
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