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Dvinal [7]
1 year ago
13

If P is between L and A, PL = 6x + 24, PA = 12x - 6 and LA = 30x - 18, then x = ______ and LA = ___&&

Mathematics
1 answer:
levacccp [35]1 year ago
7 0

To solve this problem, we have to use the definition of segment addition.

LA=PL+PA

Then, we replace the given expressions

30x-18=6x+24+12x-6

Now, we solve for <em>x</em>.

\begin{gathered} 30x-6x-12x=24-6+18 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}<h2>Hence, x = 3.</h2>

Let's find LA:

30x-18=30\cdot3-18=90-18=72<h2>Hence, LA measures 72 units.</h2>
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Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first
Pepsi [2]

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14  

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation :  4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

               = 3×(29)+43 = 130.

:)

4 0
3 years ago
Solve for r in terms of s, t, and u. <br> t=u-s+r
Verdich [7]

Answer:

r = t - u - s

Step-by-step explanation:

To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.

t = u - s + r

t - u = s + r

t - u - s = r

6 0
3 years ago
M angle PQS= 3x; m angle SQR=5x-20 <br> Find x
Dahasolnce [82]

Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.

Given:

Ray QS bisects ∠PQR.

m∠PQS = 3x

m∠SQR = 5x-20

To find:

The value of x and m∠PQR

Solution:

Ray QS bisects ∠PQR. So,

m\angle PQS=m\angle SQR

3x=5x-20

3x-5x=-20

-2x=-20

x=10

The value of x is 10.

Now,

m\angle PQR=m\angle PQS+m\angle SQR

m\angle PQR=3x+5x-20

m\angle PQR=8x-20

Put x=10,

m\angle PQR=8(10)-20

m\angle PQR=80-20

m\angle PQR=60

Therefore, the m∠PQR is 60 degrees.

5 0
3 years ago
What are the coordinants of the turning point
12345 [234]
ANSWER: the turning point of y = a ( x + b ) 2 + c y=a(x+b)^2+c y=a(x+b)2+c has coordinates ( − b , c ) (-b, c) (−b,c).
4 0
3 years ago
4. Which expression is equivalent to 3(x+6)?
lisov135 [29]

Answer:

D

Step-by-step explanation:

Cmon man, your not even trying.

3(x+6) is x+6+x+6+x+6 or 3x + 3(6).

That simplified is 3x + 18

6 0
3 years ago
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