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Luden [163]
3 years ago
15

A triangle has vertices at (4,3), (-2,4), and (-4, 2). What are the coordinates of the vertices of the image

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0

The coordinates are (4,3) ►(6,-2)

(-4,2) ►(-2,-3)

. (-2,4) →(0,-1)

alekssr [168]3 years ago
5 0
After the triangle is translated the vertices are
(4,3) -> (6,-2)
(-2,4) -> (0,-1)
(-4,2) -> (-2,-3)
The triangle is translated 2 units right and 5 units down.

(x,y) = (4,3)
(x + 2, y - 5) = (4 + 2, 3 - 5)
plug in the coordinates for the rest of the vertices.
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Jose is thinking of a number.
alexira [117]

The number is 66.

Solution:

Let the number be x.

To find the number x using given conditions.

Start with the last condition.

It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79

So, the number is less than 79 which implies x < 79.          

Using condition (4),  

It is greater than 5 times 4 = 5 × 4 = 20

So, the number is greater than 79 which implies x > 20.    

Combining condition (4) and (7), we get 20 < x < 79.

Using condition (3) and (5),

The number is a multiple of 11 and 6.

The number which is multiplied by both 11 and 6 is 66, 132, ...

But here x lies between 20 < x < 79.

So x = 66.

66 is not odd number and the sum of the digits is divisible by 2.

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3 0
3 years ago
Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
skelet666 [1.2K]

Angles formed by the segment \overline{XZ} in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

  • The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment \overline{XZ} is perpendicular to segment \overline{WY}

∠WZX and ∠XZY are right angles by definition of \overline{XZ}  perpendicular to \overline{WY}

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}

\displaystyle \mathbf{ \frac{XZ}{ZY}}  = \frac{12}{9}  = \frac{4}{3}

Therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9}, which gives, \displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9} which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0
3 years ago
Simplify the expression by combining like terms.
andreev551 [17]
4b + 2 is your answer just to help you out if you use cymath you can easily get your answer like i did 

6 0
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