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2 years ago

If T is the midpoint of SU,find x. ( ST=8x+11 and TU= 12x-1)

Mathematics

2 answers:

sukhopar [10]2 years ago

8 0

Answer:

Step-by-step explanation:

Set the equations equal to each other and solve for x

8x+11 = 12x-1

11=4x-1

12=4x

x=3

Y_Kistochka [10]2 years ago

3 0

<h3>Answer: x = 3</h3>

============================================

Explanation:

T is the midpoint of SU, so point T cuts segment SU into two equal halves. Those two halves being ST and TU, therefore, ST = TU

ST = TU

8x+11 = 12x-1 ... substitution

8x+11-8x = 12x-1-8x ... subtract 8x from both sides

11 = 4x-1

11+1 = 4x-1+1 .... add 1 to both sides

12 = 4x

4x = 12

4x/4 = 12/4 .... divide both sides by 4

x = 3

As a check, plug x = 3 into each equation below

ST = 8x+11 = 8*3+11 = 24+11 = 35

TU = 12x-1 = 12*3-1 = 36-1 = 35

Each piece ST and TU is 35 units long. So this confirms we have the right answer.

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Answer:

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2 years ago

Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve

kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

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The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

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7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

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2 years ago

A graduate weighs 35.825 g. When 10 mL of water are measured in it, the weight of the graduate and water is 45.835 g. Calculate

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Answer:

Calculated weight of water = 10.01 g

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Given:

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Now,

The weight of water = ( Weight of graduate + Water ) - Weight of graduate

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The weight of water = 10.01 g

Now,

The percentage of error = $\frac{\textup{Calculated value - Actual value}}{\textup{Actual value}}\times100$

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2 years ago

Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 1

mote1985 [20]

Answer:

<h3>Pudge has 12 morethan apples that is 24 apples and both Ace and Christi has not more than 12 apples together they has atmost 12 apples.The apples does each having is</h3><h3>P = Pudge's Apples =24</h3><h3>A = Ace's Apples =8</h3><h3>and C = Christi's Apples=4.</h3>

Step-by-step explanation:

Let P = Pudge's Apples

Let A = Ace's Apples

Let C = Christi's Apples

<h3>To find how many apples does each have if Pudge has 12 more than both Ace and Christi together:</h3>

Given that P = 3A , A = 2C and P = A + C + 12

Substitute the value for P in P = A + C + 12 we get

3A = A + C + 12

3A-A=C+12

2A=C+12

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$24-20=C$

4=C

Rewritting we get

<h3>∴ C=4 </h3><h3>Hence Pudge has 12 morethan apples that is 24 apples </h3><h3>and both Ace and Christi has not more than 12 apples together they has atmost 12 apples</h3>

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