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HACTEHA [7]
4 years ago
14

If A-P-B and if AP= 2x-9, AB=32 and PB= 1.5x+6, find PB

Mathematics
1 answer:
Eduardwww [97]4 years ago
6 0
AP and PB should add to AB

(2x-9)+(1.5x+6)=32
2x-9+1.5x+6=32
3.5x-3=32
3.5x=35
x=10

Plug this value of x in
1.5(10)+6
15+6
21

Final answer: 21
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What is the solution of the equation y=2x-7;y=5x+4
Reika [66]

Step-by-step explanation:

y = 2x - 7...(1) \\ y = 5x + 4...(2) \\ from \: equations \: (1) \: and \: (2) \\ 5x + 4 = 2x - 7 \\   \therefore \: 5x - 2x =  - 7 - 4 \\  \therefore \: 3x =  - 11\\   \huge \red{ \boxed{\therefore \: x =  -   \frac{11}{3} }}\\  substitutig \: x =  -   \frac{11}{3} in \: equation \: (1) \\ y = 2 \times (-   \frac{11}{3}) - 7 \\  \\ \therefore \: y =  -  \frac{22}{3}  - 7 \\  \\  \therefore \: y =   \frac{ - 22 - 21}{3} \\  \\  \huge \orange{ \boxed{\therefore \: y =   - \frac{ 43}{3}}}\\\\(x, \:y) = \{-   \frac{11}{3}, - \frac{ 43}{3}\} \:

4 0
3 years ago
Given that Segment BE is 5 units, find the indicated measures for each
zalisa [80]

Answer:

The indicated measure of the length of AE = 5 units

Step-by-step explanation:

To determine:

What is the indicated measure of length?

Information Fetching and Solution Steps:

From this single diagram, it seems the indicated measure of length which we have to determine is the length of AE.

Given that Segment BE is 5 units. i.e. BE = 5 units

  • As the square has two equal diagonals AC and DB which meet at point E.
  • So, point E being the common mid-point of both diagonals.

As both of the diagonals of square are equal in length.

And the length of BE is 5 units, which is half the length of BD. It means the diagonal BD has a length of 10 units.

And since both diagonals  AC and DB are equal in length, it means the length of AC must be 10 units.

Since, AC has the length of 10 units, it means the length of AE must be half of the length of AC. Thus, the indicated measure of the length of AE is 5 units.

Therefore, the indicated measure of the length of AE = 5 units

Keywords: square, diagonals, length, line segment

Learn more about square diagonals from brainly.com/question/628263

#learnwithBrainly

6 0
3 years ago
Find the approximate surface area of the cylinder below. Round your answer to the nearest tenth.
ANTONII [103]
5cm I think, I’m just answering because Brainly wants me to
4 0
3 years ago
Read 2 more answers
A new sports store recently opened downtown that specializes in baseball cards. Delmar has over 200 baseball cards in his collec
Oksanka [162]

Answer: 15 of the cards can be sold for $23.50 each, and 27 of the cards can be sold for $32.50 each. This is all he wants to sell so the answer would be (23.5 x 15) + (27 x 32.5)

$1230

Please mark brainliest.

Step-by-step explanation:


7 0
3 years ago
Can you please help me.. anyone? i really need help, i'm being timed
mariarad [96]
The correct answer is B.

9.68(2.59*10.01)=(9.68*2.59)10.01
5 0
4 years ago
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