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slega [8]
3 years ago
14

W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

Mathematics
1 answer:
juin [17]3 years ago
7 0

\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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A total of 399 tickets were sold for the school play. They were either adult tickets or student tickets. The number of students
weqwewe [10]

133 adult tickets were sold.

Step-by-step explanation:

Given,

Total tickets sold for school play = 399

Let,

x represent the number of children tickets sold.

y represent the number of adult tickets sold.

According to given statement;

x+y=399      Eqn 1

x = 2y           Eqn 2

Putting value of x from Eqn 2 in Eqn 1

2y+y=399\\3y=399

Dividing both sides by 3

\frac{3y}{3}=\frac{399}{3}\\y=133

133 adult tickets were sold.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/9231234
  • brainly.com/question/9214411

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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y = mx + c ( m is the slope and c the y- intercept )

here m = \frac{3}{4} , then

y = \frac{3}{4} x + c ← is the partial equation

to find c substitute (- 4, 5 ) into the partial equation

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Write the equation of the line that has a slope of -4 and goes through (3,-3)
Sindrei [870]
The functional equation of the line is f (x)=a*x+b
you have already a: -4 -->f (x)=-4 x+b
Now you can use the point (3;-3)
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3 years ago
Silvia buys 12 steaks that are each 34 of a pound. She spends a total of $90 on steaks. Complete each sentence. Silvia buys a to
scZoUnD [109]
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
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To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10. 
5 0
3 years ago
PLEASE HELPPPPP. URGEENNTT!!! I DONT KNOW HOW TO SOLVE THIS
Oksi-84 [34.3K]

Answer:

A = 58.7 degrees

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<u><em>For <A:</em></u>

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Tan A = \frac{23}{14}

Tan A = 1.6

A = Tan^{-1} 1.6

A = 58.7 degrees

<u>For <B:</u>

Sin B = \frac{opposite}{hypotenuse}

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B = Sin^{-1} 0.92

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Sin C = \frac{opposite}{hypotenuse}

Sin C = \frac{14}{25}

Sin C = 0.56

C = Sin^{-1}0.56

C = 34.1 degrees

6 0
3 years ago
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