Explain how to find the value of y that would make segment OP parallel to segment LN.

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

Answer:

Step-by-step explanation:

49 is a perfect square, since it equals 7*7; 56 is not. If you have 35.2 and 37T, 36 is the perfect square between the two integers. Take the square root of the perfect square. If you have your square roots for memory, you know that the square root of 36 is equal to 6.

Answer:

46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2

Answer:

3h−3k

Step-by-step explanation:

Answer:

x-7>0

Straight answer: x-7

Step-by-step explanation:

Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

monday=4 miles

tuesday=4 miles

wednesday= 4 miles

4+4+4=12

What type of sequence does this scenario represent, and why?

✔ arithmetic; the sequence has a common difference

If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?  

✔ 360

This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.

Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."

An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

an = 100 + (14 - 1)20.

an = 360

The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.  

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Answer:

I belive that the correct answer is 32. hope this helps mark me as brianliest????

Step-by-step explanation:

Answer:

missing constant is 36

Step-by-step explanation:

x²-12x+36

because 12x= 2*√x²*√36

so 36 is missing constant

and there is easier way (12/2)² = 36

Answer:

N=6

Step-by-step explanation:

As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6

Answer:

A) y = 1/3x + 10/3

Step-by-step explanation:

Answer:A point can represent a piece of data or an (x,y) value.

Step-by-step explanation:

Answer:

The rate of change is "5"

which agrees with the last answer option

Step-by-step explanation:

Use the expression for the rate of change between two points on the plane:

[tex]rate\,of\,change=\frac{y_2-y_1}{x_2-x_1} \\rate\,of\,change=\frac{-5-0}{-2-(-3)}\\rate\,of\,change=\frac{-5}{1}\\rate\,of\,change=5[/tex]

Answer: is 5 I just took the test

Step-by-step explanation:

Answer:

200%

Step-by-step explanation:

make a proportion

100/100% = 200/x%  cross multiply

100x =20000  divide by 100

x = 200

Answer:

200% I think?

Step-by-step explanation:

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Answer:

The truck can not safely pass under the bridge

Step-by-step explanation:

The maximum height in inches is 149in.

12 feet times 12 inches = 144 in

144 +5 = 149in

If the truck is 162 inches than it would not be safe for it to pass under the bridge.

I hope this helps you!

Answer:

g(x) = (3x-4)

Step-by-step explanation:

F(x) =  sqrt( 3x-4)

We are taking the square root of (3x-4)

so g(x) = (3x-4)

Answer:the value is 20

Step-by-step explanation:

Answer:

X1,Y1

Step-by-step explanation:

If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.  

Hope this helps!

Answer:

x= -3

Step-by-step explanation:

12x-8x = -20+8

4x = -12

x= -12/4

x = -3

Steps:

Step 1: Subtract 8x from both sides.

12x−8−8x=8x−20−8x

4x−8=−20

Step 2: Add 8 to both sides.

4x−8+8=−20+8

4x=−12

Step 3: Divide both sides by 4.

4x/4   =    −12/4

Answer: x=−3

Please mark Brainliest

Hope this helps.

Answer:

5^3*5^-7 = 1/5^4 b. is true = 625

5^3*5^-7 = 5^-4 c. is true = 625

Step-by-step explanation:

b. Left hand side

Simplify the following:

5^3/5^7

Combine powers. 5^3/5^7 = 5^(3 - 7):

5^(3 - 7)

3 - 7 = -4:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

Right hand side:

Simplify the following:

1/5^4

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

_____________________________

c. Left hand side (see above)

Right hand side:

Simplify the following:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

Answer:

The answers are B and C. The other person is wrong.

Step-by-step explanation:

Answer: 192

Step-by-step explanation:

160 + (20% × 160) =

160 + 20% × 160 =

(1 + 20%) × 160 =

(100% + 20%) × 160 =

120% × 160 =

120 ÷ 100 × 160 =

120 × 160 ÷ 100 =

19,200 ÷ 100 =

Welcomeeee

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , thus

[tex]\frac{6^{7} }{6^{5} }[/tex] = [tex]6^{(7-5)}[/tex] = 6²

The answer is 6^2.

Division is the process of splitting a number or an amount into equal parts.

here, we have,

6^7/6^5

we know,

a^m/a^n

=a^(m-n)

so, we get,

6^7/6^5

=6^2

hence, The answer is 6^2.

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Answer:

x<7, The third option

Step-by-step explanation:

-1.1x+6.4>-1.3

We are trying to isolate x so we can move all the constant to one side.

-1.1x>-1.3-6.4

-1.1x>-7.7

Lastly, we need to divide both sides by -1.1.

-1.1x>-7.7/-1.1

Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.

x<7

Hope this helps :)

Answer:

I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...

Answer:

x = 10

Step-by-step explanation:

The base angles of an isosceles triangle measure the same

The three angles of the triangle and 50 , 50 and <2

They sum to 180 degrees

50 +50 + 8x = 180

Combine like terms

100+8x = 180

Subtract 100 from each side

100-100 +8x = 180 - 100

8x= 80

Divide by 8

8x/8 = 80/8

x = 10

Answer:

x =10

Step-by-step explanation:

this is isosceles Δ so it has base ∠ that are =

sum of angles in Δ is 180 so 180 -50-50 = 80

m<2= 80

80= 8x

x =10

Explanation:

This is for contrapositive negating the converse of the conditional.

Hence,option D is correct.

Hope it helps

Good luck on your assignment

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5