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Harman [31]
3 years ago
14

Triangle XYZ is translated 4 units up and 3 units left to yield ΔXYZ. What is the distance between any two corresponding points

on ΔXYZ and ΔXYZ′?
Mathematics
2 answers:
Mashcka [7]3 years ago
7 0
<h3>Answer:</h3>

5 units

<h3>Step-by-step explanation:</h3>

A point 4 up and 3 over from its original location has moved a distance that can be found using the Pythagorean theorem.

... d² = 4² +3² = 16 +9 = 25

... d = √25 = 5 . . . . units

pentagon [3]3 years ago
7 0

<u>Answer:</u>

5 units

<u>Step-by-step explanation:</u>

Assuming that any point on the initial triangle XYZ was the origin (0,0).

The distance of between the two points can be calculated by using the Pythagoras Theorem to solve the problem:

c^2=a^2+b^2

where c is the hypotenuse and a and b are the legs of the triangle.

c^2=3^2+4^2\\\\c^2=9+16\\\\c^2=25\\\\c=5

Therefore, we can conclude that the the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′  is 5 units.

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Rewrite this polynomial in STANDARD FORM:<br>5x-10x^2+8x^3​
Ainat [17]

Answer:

8 {x}^{3}   -  10 {x}^{2}  + 5x

Step-by-step explanation:

5x - 10 {x}^{2} + 8 {x}^{3}   \\   \red{ \bold{= 8 {x}^{3}   -  10 {x}^{2}  + 5x}} \\ is \: in \: the \: standard \: form \\

4 0
3 years ago
The product of three consecutive numbers is 21,924. What is the smallest number out these numbers?
Natasha_Volkova [10]

Answer:

27

Step-by-step explanation:

Let the middle number be x.

(x - 1)(x)(x + 1) = 21,924

You can solve that equation, or you can use logic.

The 3 numbers are going to be close to the cubic root of 21,924.

cubic root of 21,924 = 27.988 or approx 28.

Try 27, 28, 29

27 * 28 * 29 = 21,924

Answer: 27

7 0
2 years ago
Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.
Burka [1]

Answer:

60.32

Step-by-step explanation:

126%=1.26

60.32*1.26=76.0032

76.0032≈76

7 0
3 years ago
if a guy has $145 .00 in his hand, and he wants to give some to 2 friends how much is left in his hand
Mariulka [41]
$145.00/2=
$72.5
I hopes this helped
7 0
3 years ago
Read 2 more answers
This is timed, much help is appreciated:)
Strike441 [17]

The value of the angle m∠4 is 105 degrees.

<h3>How to find angles in a quadrilateral?</h3>

The sum of angles in a quadrilateral is 360 degrees.

Therefore,

m∠1 + m∠2  + m∠3 + m∠4 = 360°

Hence,

x + x + 10 + x + 20 + x + 30 = 360

4x + 60 = 360

4x = 360 - 60

4x = 300

x = 360 / 4

x = 75

Therefore,

m∠4 = 75 + 30 = 105°

learn more on quadrilaterals here: brainly.com/question/17178852

#SPJ1

4 0
2 years ago
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