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ANTONII [103]
3 years ago
5

△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

<em>b = 5</em>

Step-by-step explanation:

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Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y
adell [148]

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

4 0
2 years ago
Consider the Triangle Sum Theorem in relation to a right triangle. What conjecture can you make about the two acute angles of a
Anon25 [30]
They must be complementary. these 2 angles MUST equal 90 degrees because there is a right angle that is 90 degrees in the triangle already and all triangles have an angle sum of 180 degrees. the answer is complementary
7 0
2 years ago
A pool has a depth of 12 feet and a width of 14 feet.If it holds 1680 cubic feet of water, what is the length of the pool?
Novay_Z [31]

12 x 14 x L = 1680

168 x L = 1680

         L = 1680 / 168

         L = 10 feet

3 0
3 years ago
Paige bought 6 bags of candy for Halloween. On Halloween 80 children visited her home and she gave each child 3 pieces of candy.
Oliga [24]
80 x 3 = 240
240 / 5 = 48
There are 48 pieces of candy in one bag.

<span>Hope This Helps You!
Good Luck Studying :)</span>
3 0
3 years ago
Read 2 more answers
A club is holding a raffle. Ten thousand
Cloud [144]

First take 10,000 * 2 = 20,000, because each of the 10,000 tickets cost 2 dollars.

3000(1/20000) + 1000(3/20000) + 500(5/20000) + 100(20/10000) = 10500/20000 = .525

Thus, each ticket is worth 52.5 cents.

Hope it helps <3

6 0
3 years ago
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