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3 years ago

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Mathematics

1 answer:

defon3 years ago

5 0

Answer:

so the distance between the police and the library is 2x-3 where x is the distance between the police and fire and distance between the library and fire is 5 so

2x-3=5

2x=8

x=4

so C

Hope This Helps!!!

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Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s

AleksandrR [38]

Fraction of shampoo left = $\frac{13}{24}$

Solution:

Given fraction of full shampoo $=\frac{7}{8}$ .

Fraction of shampoo Margaret used $=\frac{1}{3}$

Fraction of shampoo left = Full shampoo – fraction of shampoo used

$=\frac{7}{8}-\frac{1}{3}$

To make the denominators same do cross multiplication.

$=\frac{7\times3}{8\times3}-\frac{1\times8}{3\times8}$

$=\frac{21}{24}-\frac{8}{24}$

$=\frac{21-8}{24}$

$=\frac{13}{24}$

Hence $\frac{13}{24}$ of the shampoo bottle is left.

8 0

3 years ago

Which of the following(s) is true of a rectangle?

arsen [322]

<h2>Explanation:</h2>

Let's take a look at all of our options.

A. it is also a square

A rectangle is NOT always a square because a square has congruent sides, so that means all four of its sides are always equal.
A rectangle can be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.

B. the sum of its angle measures is 360

This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
B is an option because it is an ALWAYS true statement.

C. it has four congruent angles

A rectangle always has 90 degree angles, giving it its shape.
Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
C is also an option because it is always true.

D. it has four congruent sides

A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.

<h2>Answers:</h2>

B and C are always true of a rectangle.

7 0

3 years ago

Read 2 more answers

Ariel needs to paint the trim of a triangular box. If A (-2,4), B (2,2), and C (-1, -2) are the vertices of the triangle, what i

Kisachek [45]

Total length of the trim painted is 15.75 unit.

Given:

Co-ordinate of point A = (-2,4)
Co-ordinate of point B = (2,2)
Co-ordinate of point C = (-1,-2)

Find:

Total length of the trim painted

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(-2 - 2)² + (4 - 2)²

Distance between AB = √16 + 4

Distance between AB = 2√5 unit = 4.47 unit

Distance between BC = √(2 + 1)² + (2 + 2)²

Distance between BC = √9 + 16

Distance between BC = 5 unit

Distance between AC = √(-2 + 1)² + (4 + 2)²

Distance between AC = √1 + 36

Distance between AC = √37 unit = 6.08 unit

Total length of the trim painted = 4.47 + 5 + 6.08

Total length of the trim painted = 15.75 unit (Approx.)

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5 0

2 years ago

What number replaces the ◊?

Alika [10]

First lets simplify both side of this equation.
2 + 7 + ♢ = 3 + 6 + 5
Subtract 9 from both sides of the equation.
9 + ♢ = 14
Answer (C)
♢ = 5

8 0

3 years ago

Which of the following is an equation of a line that is parallel to one whose equation is y = 5x - 3?

LekaFEV [45]

Any line that has 5 as its slope. So which ever one says “5x”

3 0

2 years ago