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slega [8]
3 years ago
9

Hewlpp!!!!!!!! please!!

Mathematics
2 answers:
True [87]3 years ago
8 0

Answer:

x=55

Step-by-step explanation:

(2x+10) + (x+5) = 180

3x+15=180

3x=165

x=55

Pie3 years ago
3 0
The answer of X is 55 x=55
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Please help me <br> 30 points <br> Show you work
GenaCL600 [577]

Answer:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.

(b) Write and expression for the slope of line r:

(k-n)/(j-m)

(c) Write and expression for the slope of line s:

(k-n)/(j-m)

(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

The coordinates of P'' are:

P''=(m,n+ϴ-3)

Step-by-step explanation:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.


(b) Write and expression for the slope of line r.

Line r goes through the points:

P=(m,n)=(xp,yp)→xp=m, yp=n

Q=(j,k)=(xq,yq)→xq=j, yq=k

Slope of line r is:

mr=(yq-yp)/(xq-xp)

Replacing the coordinates, the expression for the slope of line r is:

mr=(k-n)/(j-m)


(c) Write and expression for the slope of line s.

Line s goes through the points:

P'=(m,n+ϴ)=(xp',yp')→xp'=m, yp'=n+ϴ

Q'=(j,k+ϴ)=(xq',yq')→xq'=j, yq'=k+ϴ

Slope of line s is:

ms=(yq'-yp')/(xq'-xp')

Replacing the coordinates, the expression for the slope of line s is:

ms=[(k+ϴ)-(n+ϴ)]/(j-m)

Eliminating the parentheses in the numerator:

ms=[k+ϴ-n-ϴ]/(j-m)

Simplifyng:

ms=(k-n)/(j-m)


(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

3 units down, then change only the ordinate y:

P''=(xp',yp'-3)

Replacing xp' and yp':

P''=(m,n+ϴ-3)


7 0
3 years ago
Read 2 more answers
Which postulate or theorem proves that these two triangles are
Aleksandr-060686 [28]

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

4 0
2 years ago
The difference between two numbers is 9, and the sum of the squares of each number is 153. What is the value of the product of t
Mandarinka [93]
Numbers are 3 and 12
The product is 36
3 0
3 years ago
Solve X/3+5=9 pls give me answer​
dalvyx [7]
The answer is x= 12.
5 0
2 years ago
Situation A
Colt1911 [192]

The equation a = 100 + 75d represents Maria's  account balance.

<u>Step-by-step explanation:</u>

Given that,

  • Maria opened a new savings  account with an initial deposit of  $100.
  • She deposits $75 into this  savings account every  two-weeks.

You need to find the equation to represent Maria's  account balance, a after she has  completed d deposits.

  • Let 'd' be the number of deposits Maria made after the initial deposit.
  • Let 'a' be the total account balance after 'd' deposits.

Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.

<u>To find the amount that was deposited after the initial deposit :</u>

⇒ $75 × number of times Maria deposited.

⇒ 75 × d

The equation is written as,

⇒ a = 100 + 75d

Hence the equation a = 100 + 75d represents Maria's  account balance.

7 0
3 years ago
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