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Makovka662 [10]
3 years ago
7

ΔΑΒC Δ EDS What is the value of x?

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

<u>The value of x is 11 and CE = 40 and AC = 60</u>

Step-by-step explanation:

Δ ΑΒC ≅ Δ EDS, therefore we have that:

24 / 36 = 3x + 7 / 6x - 6

Solving for x,

24 * (6x -6) = 36 * (3x + 7)

144x - 144 = 108x + 252

144x - 108x = 252 + 144

36x = 396

x = 396/36

x = 11 ⇒ 3x + 7 = 33 + 7 = 40; ⇒ 6x - 6 = 66 - 6 = 60

<u>The value of x is 11 and CE = 40 and AC = 60</u>

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Translate the figure 2 units left and 7 units down.
STALIN [3.7K]

The translation of the given figure will have vertices, <u>A'(1,2),</u> <u>B'(3,2),</u> <u>C'(3,-5),</u> and <u>D(-1,-3)</u> from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.

In the question, we are asked to translate the given figure 2 units left and 7 units down.

In the translation, the left-right movement implies the change in the x-coordinate, whereas the up-down movement implies the change in the y-coordinate.

For any point P(x, y) the given rule says that after translation,

P(x, y) becomes P'(x - 2, y - 7).

The coordinates of the given figure are:

A(3,9), B(5,9), C(5,2), and D(1,4).

After translation, these points can be shown as:

A(3,9) becomes A'(1,2).

B(5,9) becomes B'(3,2).

C(5,2) becomes C'(3,-5).

D(1,4) becomes D'(-1,-3).

Thus, the translation of the given figure will have vertices, <u>A'(1,2),</u> <u>B'(3,2),</u> <u>C'(3,-5),</u> and <u>D(-1,-3)</u> from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.

Learn more about translations at

brainly.com/question/1400185

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7 0
2 years ago
A parallelogram has sides of length 19 mm, 19 mm, and 7 mm. What is the length of the fourth side of the parallelogram? Enter yo
liberstina [14]

Answer:

7mm

Step-by-step explanation:

A parallelogram has 2 sets of equal sides, so if one side is 7mm, then the opposite side is too.

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3 years ago
Write the equation of a line in - form that contains the point (- 1, - 2) and is perpendicular to the line y = 5x - 10 degrees
galina1969 [7]

Answer:

y+2= -1/5(x+1)

Step-by-step explanation:

if lines are perpendicular their slopes are negative reciprocal

y=mx+b where m is the slope

y=5x-10 has the slope 5 so a perpendicular line will have slope -1/5

equation point slope form

(y-y1) = m(x-x1) where m is slope, and (x1,y1) any point that belongs to the line

y+2= -1/5(x+1)

3 0
2 years ago
What is the equivalent to square root of -100
Korvikt [17]

Answer:

-100^2

10,000

Step-by-step explanation:

a negative times a negative equals a positive so basically the question could have been worded 100^2

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3 years ago
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 16 min : 28 min
sweet-ann [11.9K]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 16 min : 28 min simplified to a fraction is \frac{4}{7}

16 and 28 can both be divided by 24:

16 ÷ 4 = 4

28 ÷ 4 = 7

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

3 0
3 years ago
Read 2 more answers
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