Triangle LMN with vertices L(0, 3), M(3, 4), and N(1, 2): a) 180° rotation about the origin b) dilation with scale factor of 2 using the origin as the center

Answer:

9.66

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

x=3

y=5

Step-by-step explanation:

x+y=8

x=8-y

2.5(8-y)+0.5y=10.00

20-2.5y+0.5y=10.00

20-2y=10

-2y=-10

-y=5

y=5

Replace y with 5:

x+y=8

x+5=8

x=3

Let, amount of 14% solution required is x ounces.

So, amount of 8% solution will be ( 28 - x ) ounces.

Now, mathematical equation is :

[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]

Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.

Hence, this is the required solution.

Answer:

1[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

I used my calculators.

Answer:

1. A = 120

2. B = 98

3. C = 86

4. D = 176

Step-by-step explanation:

Answer:

1) 120° 2) 98° 3) 104° 4) 140°

Step-by-step explanation:

1) add the two angles together then set them equal to 180 then solve for x. Once x is found plug it in for ∠A

2) set the two angles equal to each other then solve for x. once x is found plug it in for ∠B

3) set the two angles equal to each other to find x. once x is found plug it in for ∠C

4) add the two angles together then set it equal to 180. solve for x. once x is fould plug it in for ∠D

Answer:

B

Step-by-step explanation:

(1/3)^-4

=1/[(1/3)^4]

=1/(1/81)

=81

Answer:

188

Step-by-step explanation:

752 x 25% = 188

[tex]\sf{Hello!}[/tex]

[tex]f(x) = 5x + 4[/tex]

[tex]f(6) = ---- [/tex]

[tex]f(6) = 5(6) + 4[/tex]

[tex]f(6) = 30 + 4[/tex]

[tex]f(6) = 34[/tex]

Have a nice day!

Answer:

The answer is x = -8

Answer:

Option 1

Step-by-step explanation:

-4x+6y-5z=60

for x-int, solve for x when y=0, z=0

-4x+6(0)-5(0)=60

x=-15 (-15, 0,0)

for y-int, solve for y when x=0, z=0

y=10 (0, 10,0)

for z-int, solve for z when x=0, y=0

z=-12 (0, 0,-12)

Answer:

(-3,2)

Step-by-step explanation:

It was correct on mine

The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).

Now,

The coordinate of A' after dilation of k = 1/3 is,

⇒ (1/3 × - 3, 1/3 × 2)

⇒ (- 1, 2/3)

⇒ (- 1, 0.67)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

Answer:

4

Step-by-step explanation:

Answer:

x= -2/5 or - 0.4

Step-by-step explanation:

Answer:     12x^2+6xy−30x

^=power sighn

Step-by-step explanation:

6x(2x+y−5)=(6x)(2x+y+−5)=(6x)(2x)+(6x)(y)+(6x)(−5)=12x^2+6xy−30x

Answer:

[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]

Step-by-step explanation:

Let's assume the tree forms a right angle with the ground.

The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.

Let's draw a diagram. (not to scale)

We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.

x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.

[tex]tan(\theta)=opposite/adjacent[/tex]

The angle (θ) is 80. The opposite is x. The adjacent is 18.

[tex]tan(80)=x/18[/tex]

Now, solve for x by isolating it.

x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.

[tex]18*tan(80)=x/18*18[/tex]

[tex]18*tan(80)=x[/tex]

[tex]18*5.67128182=x[/tex]

[tex]102.0830728=x[/tex]

Round to the nearest tenth. The 8 in the hundredth place tells us to round up.

[tex]102.1\approx x[/tex]

The height of the tree is about 102.1 meters.

**diagram is not to scale

Answer:

R u asking or u telling

Step-by-step explanation:

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

Answer:

153* for both

Step-by-step explanation:

This makes a circle, which is 360*. One angle is given, and it is 27*. If the angle on the opposite side is the same, the total degrees so far would be 54.

Say b and c were equal. Then, the remaining 306* would be split even among them. 306/2 is 153.

Therefore, 153* is the correct answer.

Hope I helped!!!

Answer:

20

Step-by-step explanation:

m Z1=mZ3 = 120

120÷6=20

X=20

Answer:

first find 20 percent of 270

270 times 20 divided by 100

5400 divided by 100

54

270 plus 54

324 is your final answer

-hope this helps!

Answer:

324

Step-by-step explanation:

10% of 270=27

27*2=54

20%=54

270+54=324

Simplify the expression.

6x^2y^2

Answer:

B. The denominator is twice the numerator.

Step-by-step explanation:

Answer:

There the coordinates of the point are:

(x, y) = (-2.5, 1.5)

Therefore, option 'b' is true.

Step-by-step explanation:

From the coordinate plane, it is clear that the point is located in the 2nd quadrant.

We know that the second quadrant has negative x values and positive y values.

2nd quadrant → (-, +)

The point is clearly located at the location at x=-2.5 and y=1.5

There the coordinates of the point are:

(x, y) = (-2.5, 1.5)

Therefore, option 'b' is true.

Answer:

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Two points lying on the graph are (1, 12) and (2, 24).

Slope of the line will be,

m = [tex]\frac{24-12}{2-1}[/tex]

Slope = 12

Since equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the line passing through (1, 12) and slope 12 will be,

y - 12 = 12(x - 1)

y = 12x - 12 + 12

y = 12x

By comparing this equation with the equation,

y = mx + b

where 'b' = y-intercept = 0

Since, y-intercept is zero, table will represent the proportional relation between x and y.

Proportional or non proportional → Proportional

Answer:

A. They have the same domain and range.

Step-by-step explanation:

Edge 2021

Answer:

0.09125%

Step-by-step explanation:

Divide 73 by 800 and you will get 0.09125

Answer:

It should be %9.75

Given :

Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.

She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.

To Find :

What is Prema’s profit in 2009 and 2010.

Solution :

Price of one third ounces of gold, in 2005 is :

P = $414/3 = $138 .

Profit from selling them in 2009 is :

P1 = $(953 - 138) = $815 .

Profit from selling them in 2010 is :

P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .

Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.

Hence, this is the required solution.

Answer:

B) t = l / pr

Step-by-step explanation:

l = prt

l / pt = t

Change from multiplication to division

=== Thanks ===

Answer:

(9,6)

Step-by-step explanation:

"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.

Hope this helps!