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Oduvanchick [21]
3 years ago
5

If X=5 and 5=y, then x=y Ar algebraic equality property justifies the above statement?

Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

Yes.

Step-by-step explanation:

According to the Transitive property of the Algebraic properties of equality, two values are said to be equal is they are differently equal to a corresponding third party. This is, If a=b and b=c then a=c.

Hence, if x=5 and 5=y, then following the transitive property of Algebraic properties of equality, x=y, hence the Algebraic property of equality Justifies the statement.

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Triangle ABC is dilated to create triangle DEF on a coordinate grid. You are given that angle A is congruent to angle D. What ot
Marina CMI [18]

Answer:

They must meet at least three requirements like those in the explanation.

Step-by-step explanation:

-The other angles are also corresponding for example: B is congruent to E and C to F.

- Its sides are proportional to each other

-These two triangles can have the same shape no matter what size each one is

4 0
2 years ago
What's the area of this yellow surface? pick one of the options.
Oksi-84 [34.3K]
28 in^2

Divide shape into one rectangle and two squares:

Area of rectangle:
10 x 2 = 20 in^2

Area of one square:
2 x 2 = 4 in^2

Multiply that by 2 because we have 2 squares similar in size:
4 in^2 x 2 = 8 in^2

Add the area of the rectangle and two squares:
20 in^2 + 8 in^2 = 28 in^2

Have a nice day
Hope this helps!

4 0
3 years ago
A rectangle has a legnth of 12 inches less than 6 times its width. If the area of the rectangle is 3744 square inches, find the
elena-14-01-66 [18.8K]

Length = 6x - 12

Width = x

Area of a rectangle:

A = length x width

3744 = (x)(6x - 12)

3744 = 6x^2 - 12x

6x^2 - 12x - 3744 = 0

Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.

Width = 26 inches

Length = 6(26) - 12 = 144 inches

Hope this helps!! :)

6 0
3 years ago
Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y
klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: 17 < x \leq 54

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

x > 17

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

x\leq 54

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

17 < x \leq 54

7 0
3 years ago
A student throws a rock into the sky from the top of the Webster build- ing with an angle α = π 4 from the horizontal line and t
lord [1]

Answer:

  • r(0) = <0, 100> . . . . . . . .meters
  • r'(0) = <7.071, 7.071> . . . . meters per second

Step-by-step explanation:

<u>Initial Position</u>

The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...

  r(0) = <0, 100>

<u>Initial Velocity</u>

The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...

  r'(0) = <10·cos(π/4), 10·sin(π/4)>

  r'(0) ≈ <7.071, 7.071>

7 0
3 years ago
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