1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesya [120]
3 years ago
7

A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x

Mathematics
1 answer:
balandron [24]3 years ago
4 0

9514 1404 393

Answer:

  x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

  36 +(5x -9) = 54

  5x = 27 . . . . . . . . . . . subtract 27 from both sides

  x = 5.4 . . . . . . . . . . divide by 5

You might be interested in
Please solve the following questions!!
alexandr402 [8]

Answer:

3. The missing angle is 56°

4. x = 7

Step-by-step explanation:

3.

We know sum of 3 angles in a triangle is 180°.

Looking at the top triangle, we can figure out the third angle. Let third angle be x:

85 + 35 + x = 180

120 + x = 180

x = 180 - 120

x = 60

<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>

So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:

60 + 64 + y = 180

124 + y = 180

y = 180 - 124

y= 56

This is the missing angle.

4.

10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.

Thus we can write the equation:

(10x-5) =  (8x+9)

10x-8x=9+5

2x=14

x=14/2

x=7

So x = 7

5 0
3 years ago
Show your work of how you got your answer
IRISSAK [1]

Answer:

Slope=2                                (B)

Step-by-step explanation:

Find 2 points first.

(2,1) and (0,-3)

use y2-y1/x2-x1 formula

-3-1/0-2

-4/-2=2

8 0
3 years ago
Can you solve this? ;)
katovenus [111]
Hi there!

The answer is C.
25x + 12y + 4 \leqslant 130

The question has already revealed the following data:
x = number of tickets.
y = number of t-shirts.

We can now find the total cost function.
The cost of 1 ticket is $ 25
and therefore the total cost for all of the tickets is $25 ×
the amount of tickets, mathematically $25 × x, hence 25x.

The cost of 1 shirt is $ 12
and therefore the total cost for all of the tickets is $12 ×
the amount of shirts, mathematically $12 × y, hence 12y.

When making the total cost function, don't forget to include the service fee of $4.

Now we can conclude that the total cost function is the following:
25x + 12y + 4

Maya only has $130 and therefore the total cost must be smaller than or equal to this amount of money. The answer is C.
25x + 12y + 4 \leqslant 130
7 0
3 years ago
Paulo ran a marathon in about 1.56 x 10^4 s. Write Paulo’s time in standard notation. Miguel ran a marathon in 4 h and 16 min. W
nikdorinn [45]
Paulo ran a marathon in about 4 1.56 10 s. 
(a) Write Paulo’s time in standard notation.
(b) Miguel ran a marathon in 4 h and 16 min. Who ran the race in the shorter amount of time? Show your
7 0
4 years ago
Which expression is equivalent to (4√5^3)12 ?
katrin [286]
The answer to ur question is A
5 0
4 years ago
Other questions:
  • You have 51 dollar bills for five dollar bills six $10 bill and three $20 bills in your wallet. you select a bill at random. wit
    14·1 answer
  • It is possible for a distribution of scores to have more than one ____.
    14·1 answer
  • Scale factor of 0.75
    10·1 answer
  • There are 16.5 feet in a rod. How many rods are there if you have 148.5 feet?
    13·2 answers
  • You have a square piece of paper. Where do you cut it to make a regular octagon?
    5·1 answer
  • If the rate of change is the same on the entire graph we say it has a ____ rate of change.
    15·1 answer
  • Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 26 coins with a total face value of $5.10, how many of
    6·2 answers
  • What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
    12·2 answers
  • Solve Y+3/5 = 1 1/10
    13·1 answer
  • What is an equation of the line that passes through the point (5,-2)(5,−2) and is parallel to the line 2x-5y=352x−5y=35?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!