If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
A.
11°
B.
43°
C.
25°
D.
65°

9514 1404 393

Answer:

  3√2

Step-by-step explanation:

The distance from point (x, y) to the line ax+by+c=0 is given by ...

  d = |ax +by +c|/√(a²+b²)

In general for, the equation of the line is ...

  x -y +4 = 0

so the distance formula is ...

  d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2

For the given point, the distance is ...

  d = |6 -4 +4|/√2 = 6/√2

  d = 3√2 . . . . distance from the point to the line

Answer:

Step-by-step explanation:

A

Answer: Yes, a triangle can have sides of those lengths.

Step-by-step explanation:

Answer:

Union

Step-by-step explanation:

The UNION of two or more sets is the set that contains all elements of the set.

Answer:

  ∠K = 80°

  ∠M = 100°

Step-by-step explanation:

Angles along a line total 180°. So, your equation for ∠K is ...

  60° +40° +∠K = 180°

  ∠K = 180° -100° = 80°

Similarly, ...

  ∠M = 180° -∠K = 100°

_____

Additional comment

Together, the 60° and 40° angles make a 100° angle that is vertical to (and congruent with) ∠M. Recognizing that, you know ∠M = 100°. ∠P is a vertical angle with ∠K, so will have the same measure, 80°.

Answer:

Volume of cylinder V= bh= 78 cm^3, where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3

Thanks!

Mark me brainliest!

Answer:

Volume (cone) = 26 cm³

Step-by-step explanation:

Given :-

Volume (cylinder) = 78 cm³

To Find :-

Volume (cone) with same height and radius

Solving :-

Find the equation for the volume of the cylinder.

πr²h = 78 cm³

But we know the volume of a cone is 1/3 of the volume of a cylinder.

=> Volume (cone) = 1/3 x 78

=> Volume (cone) = 26 cm³

Answer: x = 24

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Remove parentheses.

12 (2 − 2) + 32 = [tex]x[/tex] + 6 + 2

Step 2: Simplify 2 − 2 to 0.

12 × 0 + 32 = [tex]x[/tex]  + 6 + 2

Step 3: Simplify 12 × 0 to 0.

0 + 32 = [tex]x[/tex] +  6 + 2

Step 4: Simplify 0 + 32 to 32.

32 = [tex]x[/tex] + 6 + 2

Step 5: [tex]x[/tex] + 6 + 2 to [tex]x[/tex] + 8.

32 = [tex]x[/tex] + 8

Step 6: Subtract 8 from both sides.

32 − 8 = [tex]x[/tex]

Step 7: Simplify 32 − 8 to 24.

24 = [tex]x[/tex]

Step 8: Switch sides.

[tex]x[/tex] = 24

~I hope I helped you! :)~

Answer:

the angles and side length will stay the same

Step-by-step explanation:

it's a rigid translation, meaning that the shape doesn't change

Answer:

Step-by-step explanation:

The area = 252 in²

One side = 14 in

The other side = x

The area of a rectangle is a product of 2 sides

Answer:

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

           b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Answer:

12.3455882353

Step-by-step explanation:

(103/8) = 12.875

(9/14) = 0.64285714285

0.64285714285 x 14 = 9

(9/17) = 0.5294117647

12.875 - 0.5294117647 = 12.3455882353

Answer:

2,350,000,000  

Step-by-step explanation:

hope this helps

Answer:

The slope is undefined.

Step-by-step explanation:

M = Y2 - Y1

X2 - X1

M = -3 - 4

-1 - (-1)

M = -7

0

M = Undefined

Answer:

1

Step-by-step explanation:

5(0)+1=1 because 5x0=0 then add the 1

The value of the function f (x) = 5x + 1 at x equal to zero will be 1.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given function is f (x) = 5x + 1. The value of the function at x equal to 0 will be calculated as below:-

f (x) = 5x + 1

f (0) = 5 x 0 + 1

f (0) =  0 + 1

f (0) = 1

Therefore, the value of the function f (x) = 5x + 1 at x equal to zero will be 1.

To know more about a function follow

https://brainly.com/question/25638609

#SPJ2

Answer:

The answer is D. 216 [tex]in^{3}[/tex]

Step-by-step explanation:

I took the test. Hope this helps.

The volume of the container is 216 inches³.

Volume of a three dimensional shape is the space occupied by the shape.

Given a container.

A triangular prism consists of two triangular bases and three rectangular faces.

The given container is a right triangular prism.

Volume of a triangular prism = Base area × Length of the prism.

Base area = Area of right triangle

                 = [tex]\frac{1}{2}[/tex] × 6 × 8

                 = 24 inches²

Length of the prism = length between the base triangles = 9 inches

Volume = 24 × 9 = 216 inches³

Hence the required volume of the container is 216 inches³.

Learn more about Volume here :

https://brainly.com/question/17004095

#SPJ3

ANSWER:9

Step-by-step explanation:

Answer:

[tex]x=13,\:y=0[/tex]

Step-by-step explanation:

Isolate x for 2x-3y=26: [tex]x=\frac{26+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{26+3y}{2}[/tex]

[tex]\begin{bmatrix}3\cdot \frac{26+3y}{2}-4.6y=39\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}39-0.1y=39\end{bmatrix}[/tex]

Isolate y for 39-0.1y=39: y=0

[tex]\mathrm{For\:}x=\frac{26+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=0[/tex]

[tex]x=\frac{26+3\cdot \:0}{2}[/tex]

[tex]\frac{26+3*0}{2}=13[/tex]

[tex]x=13[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=13,\:y=0[/tex]

Answer:

80

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180 degrees, so:

x+(x-15)+(x-45)=180

x+x-15+x-45=180

3x-60=180

3x=240

x=80

Answer:

832

Step-by-step explanation:

If you have one group of 832, and put it into 1 group you get 832

Answer:

8

Step-by-step explanation:

4,5,6,6,7,7,8,8,8,8,8,9,9

x  x x x x x     x  x  x x x x

Answer:

x= 31 degrees

Step-by-step explanation:

122x2=244

360-244 = 116

116/2 = 58

z= 91 degrees

so the inside next to corner b is 58 degrees

91 + 58 = 149

180 - 149 = 31

x = 31

FALSE

7Y= 1 --> Y= ⅐ NOT 7

so it can't be it's solution

Answer:

16.1555

Step-by-step explanation:

Answer:

Height of replica = 10.63 feet

Step-by-step explanation:

Given :-

Scale factor = 100 : 1

Height of Eiffel Tower = 1063 feet

To Find :-

Height of replica (h)

Solving :-

100 = 1063 / x

x = 1063/100

x = 10.63

Solution :-

Height of replica = 10.63 feet

Answer:

B

Step-by-step explanation:

The vertical triangles are not congruent which eliminates A and D, the equvilant of Z is U which = y

Using the point-slope form:

⇒ [tex](y-y0) = m(x-x0)[/tex]

Which require one point (x0,y0) on the line and the slope (m)

Thus let us plug int the value

[tex](y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2[/tex]

Thus the equation of the line is y = -2

Hope that helps!

Answer:

9.10938

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Alonzo used 5.3 in his model instead of .53

Answer:

I think it should be 30-40 brain points, because there's too much questions.