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almond37 [142]
3 years ago
12

Find the value of x.Triangle with midsegment drawn. The midsegment measures 45 units and the side parallel to the midsegment mea

sures 7 x + 13 units.
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0
According to the Triangle Midsegment Thereom, if the midsegment of a triangle is parallel to a side of the triangle, then the midsegment is half the length of side it is parallel to, therefore...
45=(7x+13)/2
And after that, you continue to solve the problem using Algebra
90=7x+13
77=7x
11=x
I hope this answer was helpful! :)
You might be interested in
The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and
Snowcat [4.5K]

Answer:

1200 children and 1500 Adults

Step-by-step explanation:

Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as  

x+y=2700    (Equation 1)

and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as  

1.50x+4y=7800 (Equation 2)

Extracting the value of y from equation 1

Y=2700-x (Equation 3)

Putting the value of y from equation 3 into equation 2

1.50x+4(2700-x)=7800

1.50x+10800-4x=7800

1.50x-4x=7800-10800

-2.5x=-3000

Cancellation of negative signs on both sides

x=3000/2.5

x=1200

Putting the value of x in equation 3 to get the value of y

y=2700-1200

y=1500

5 0
3 years ago
7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident
Wittaler [7]
So we have the system of equations:
7+2y=8x equation (1)
3x-2y=0 equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for x in equation (2):
3x-2y=0
3x=2y
x= \frac{2}{3}y equation (3)

Replacing equation (3) in equation (1):
7+2y=8x
7+2y=8( \frac{2}{3} y)
7+2y= \frac{16}{3} y
7= \frac{10}{3} y
y= \frac{7}{ \frac{10}{3} }
y= \frac{21}{10} equation (4)

Replacing equation (4) in equation (3):
x= \frac{2}{3}y
x=( \frac{2}{3} )( \frac{21}{10} )
x= \frac{7}{5}

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
5 0
3 years ago
How many do u wanna bet nobody on this app is not going to help me on this question
Vika [28.1K]
The last one :))))))))))
5 0
3 years ago
Can anyone help? Will give Brainly + 18 pts
Ainat [17]

Answer:

-2 + × = y

Step-by-step explanation:

I think this is the answer because it's asking for an expression which this would be one.

5 0
3 years ago
Read 2 more answers
There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are
Sidana [21]
Since there are 22 participants all in all. The possible combinations of the two picked for practice first is, 
                               22C2 = 231
The probability of picking one from each gender will be solved through the calculation below.
                              (10C1)x(12C1) / 231 = 40/77
In percentage, the answer would be approximately 52%. Thus, the answer is the first choice. 
6 0
3 years ago
Read 2 more answers
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