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Sonbull [250]
2 years ago
11

Please help!!!!!!!!!!!

Mathematics
1 answer:
Marina86 [1]2 years ago
3 0

Answer:

Q (3.6, 1.4)

Step-by-step explanation:

Let Q (x, y)

AQ = (x - 2, y + 1)

QC = (4 - x, 2 - y)

AQ:QC = 4:1

so

x - 2 = 4(4 - x)

y + 1 = 4(2 - y)

Solve them:

x - 2 = 16 - 4x

5x = 18

x = 18/5 = 3.6

y + 1 = 8 - 4y

5y = 7

y = 1.4

Then answer is Q (3.6, 1.4)

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3 years ago
Find the degree measure of each angle in the triangle. Giving brainly
Lena [83]

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

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Then

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2 years ago
Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

6 0
2 years ago
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Answer:

4 is answer

Step-by-step explanation:

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4 0
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4 0
2 years ago
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