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Artemon [7]
3 years ago
14

Solve for y. triangle PQR is congruent to triangle DEF, PQ= 15, QR= 10, RP=8, and EF = 6y +4

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0
Congruent means that they are identical
 looking at the order of the letters in the triangles EF are the last 2 and QR are the last 2
 so EF should equal QR

we are told QR = 10 so EF needs to equal 10
 so we have 6y+4 = 10

now solve for Y

6y +4 = 10
 subtract 4 from each side:
6y = 6
 divide each side by 6
y = 1



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Sort the words into a category based on whether they indicate a positive number or a negative number
ankoles [38]

Answer:

POSITIVE: gain, adding, above

NEGATIVE: loss, below, taking away

5 0
2 years ago
Dont know how to calculate it
TEA [102]

Answer:

AB = 105

Step-by-step explanation:

Since ∠ A and ∠ B  are equal then Δ ABC is isosceles with 2 congruent legs.

AC = BC , substitute values

6x - 7 = 5x + 7 ( subtract 5x from both sides )

x - 7 = 7 ( add 7 to both sides )

x = 14

Then

AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105

6 0
2 years ago
In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if
Ann [662]

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

5 0
3 years ago
Solve using system of equations algebraically<br> y=2x-3 <br> x+y=18
Hitman42 [59]

Answer:

<em>(7, 11)</em>

Step-by-step explanation:

y = 2x - 3 .... (1)

x + y = 18 .... (2)

(1) ----> (2)

x + 2x - 3 = 18 ⇒ <u><em>x = 7</em></u>

y = 2(7) - 3 ⇒ <u><em>y = 11</em></u>

<em>(7, 11)</em>

6 0
3 years ago
I need help within the next 15 mins
abruzzese [7]

Answer:30

Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30

3 0
3 years ago
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