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vodka [1.7K]
2 years ago
12

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr

iangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Mathematics
2 answers:
Reptile [31]2 years ago
8 0

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Kruka [31]2 years ago
6 0

Answer:

A

Step-by-step explanation:

took the test

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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
the backpacking club is having some posters printed the printer charges $180 plus $250 per poster how many posters can be printe
svet-max [94.6K]
They would be able to print 3 posters
7 0
2 years ago
a table is 6 feet long and 3 feet wide. you extend the table by inserting two identical table/leaves. the longest side length of
Molodets [167]

Yep... so they says that the area of the extended leaf is 18+6x... You know that the area is length into breath... here the breath doesn't change.. so it'll be 3ft... can get the length by dividing area by 3... that is 6+2x... Now the new length wil be 2times that plus the previous 6ft length

6 0
2 years ago
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
klasskru [66]

Answer:

PS = 7x- 7

Step-by-step explanation:

Given

Straight Line, PS

Such that

PR = 4x -2

RS = 3x - 5

Required

Find PS

From the attachment above, it can be seen that RS is a continuation of PS;

This implies that

PS = PR + RS

Substitute PR = 4x -2 and RS = 3x - 5

PS = 4x - 2 + 3x - 5

Collect like terms

PS = 4x + 3x- 2  - 5

PS = 7x- 7

Hence, the length of PS is PS = 7x- 7

8 0
2 years ago
The slope of the line below is -5/7 Write the point-slope equation of the line using the coordinates of the labeled point.
Vesna [10]

Answer:

The answer is C) y - 2 = -5/7(x - 6)

Step-by-step explanation:

Since we have the slope (-5/7) and a point (6, 2), we can just input those in for m and (x1, y1) in point-slope form.

y - y1 = m(x - x1)

y - 2 = -5/7(x - 6)

4 0
2 years ago
Read 2 more answers
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