3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M. Which angles form a linear pair? AnglePRL and AngleLRM AngleORP and AngleMRN AngleMRN and AngleNRO AngleLRP and AngleORP

Answer:

Brainliest please

Step-by-step explanation:

perimeter is to add all sides

73m= 16+B+C

{ use algebra}

C is a, B is twice C, hence 2a

a+2a(+16)=73

3a=73-16= 57

3a=57, divide

a= 19

B=19×2= 38m

C=19m

C is 19m

Answer:

C = 19 m

Step-by-step explanation:

Side B is twice the length of Side C.

B = 2C -----------(I)

Perimeter = 73 m

A + B + C = 73

A + 2C + C = 73  {from (I)}

16 + 3C = 73

3C = 73 - 16

3C = 57

C = 57/3

C = 19 m

Answer:

g(2) = 5

g(-2) = 2

g(-3) = 0

g(5) = 1

g(x) = 0 when x = 3

g(x) = 6 when x = 0

Step-by-step explanation:

Your just finding the values of y when x is unknown or when y is unknown and your trying to find x. f(x) is just a fancy way of saying y.

Answer:

It should be 50 degrees

Step-by-step explanation:

180-80= 100 degrees

making the two bottom angles combined angles equal to 100 degrees

100 divided by 2= 50 degrees making x=50 degrees

x= 50 degrees

Answer:

50°

Step-by-step explanation:

80+x+x=180

80+2x=180

2x=180-80

2x=100

100/2=50

Answer:

Correct option: C) 90 degrees

Step-by-step explanation:

When we have a tangent segment to a circle, the angle made with the radius of the circle and the tangent segment is always a right angle, that is, 90 degrees. In other words, the radius and the tangent segment are always perpendicular.

If QR is tangent to the circle P, and PQ is the radius of the circle, the segment PQ is perpendicular to the segment QR, so the angle PQR is equal 90 degrees.

Correct option: C)

Answer:

Angle PQR is 90 so answer would be C

Step-by-step explanation:

Answer:

Counterexample: 21 which is divisible by 3 but not by 6.

Step-by-step explanation:

Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.

You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.

Answer:

1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.

answer : cos x = √5/3

2.  4/3

3.  sin (- theta)  = - sin (x)        so sin x = 1/6

 tan = sin / cos   =  1/6  /  cos  =  - sqrt35/35     solve for cos

                        cos =  1/6 * (-35/sqrt35)

                                  = -35 sqrt35 /210

answer : −35/√210

4. The cosine function is an even function, so cos(θ) = cos(-θ).

The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)

For sin(θ) < 0 and cos(θ) = (√3)/4,  sin(θ) = -√(1 -3/16) = -√(13/16)

sin(θ) = -(√13)/4   For sin(θ) < 0 and cos(0) = √(3/4), ...

sin(θ) = -√(1 -3/4) = -√(1/4)       sin(θ) = -1/2

answer : -13/√4

5.  answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step

Answer: 7 minutes

Step-by-step explanation:

There is no n variable in the question, found the original question and the equations is: t = 2n – 3.

So, to answer this question we simply have to substitute n=5 in the equation given:

t = 2(5) – 3.

Solving for t(time)

t = 10-3 = 7 min.

It will take the customer 7 minutes to buy 5 coffees.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

It's A

Step-by-step explanation:

i did the quiz

Answer:

to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Step-by-step explanation:

Let the mortgage investment be X

The Bond to be Y

and the CDs to be Z

Thus;

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 7180 × 100 ------ (3)

So;we now have:

X+Y+Z = 86000 ------- (1)

Y + Z = X       ------------(2)

10X + 9Y + 6Z = 718000 ------ (3)

Let ; replace X with Y+Z in equation (1) and (3)

Y+Z + Y+Z = 86000

2Y + 2Z = 86000

Divide both sides by 2

Y+Z = 43000      ------ (4)

From equation (3)

10X + 9Y + 6Z = 718000

10(Y+Z) + 9Y + 6Z = 718000

10Y +10Z + 9Y +6Z = 718000

19Y + 16Z = 718000    -----(5)

Y+Z = 43000      ------ (4)

19Y + 16Z = 718000    -----(5)

Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:

 -16 Y -16 Z = -688000

 19Y + 16Z =    718000          

 3Y  + 0     =    30000            

3Y = 30000

Y = 30000/3

Y = 10000

From (4);

Y+Z = 43000  

So; replace Y with 10000; we have:

10000 + Z = 43000

Z = 43000 - 10000

Z = 33000

From (1) ;

X+Y+Z = 86000

X + 10000  + 33000 = 86000

X + 43000 = 86000

X = 86000 - 43000

X = 43000

Since we assume the bond to be Y and Y = $10000;

Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.

Answer:

39 and 35

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

interior angles for a triangle is 180°

180 ÷ 3 sides = 60°

The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

For an n-sided polygon,

The sum of all interior angles = (n - 2)180°.

The sum of all exterior angles = 360°.

We know, that a regular polygon has all sides equal, all interior angles equal, and also all exterior angles equal.

Therefore,

The value of each interior angle of a regular polygon = (The sum of all interior angles)/n,

or, The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

The value of each exterior angle of a regular polygon = (The sum of all exterior angles)/n,

or, The value of each exterior angle of a regular polygon = 360°/n.

In the question, we are asked to find the measure of one interior and one exterior angle of the given regular polygon.

The given regular polygon is a three-sided regular polygon, that is, it is an equilateral triangle.

∴ We can say that n = 3.

∴ The value of each interior angle of a regular polygon = {(n - 2)180°}/n.

or, The value of each interior angle of a regular polygon = {(3 - 2)180°}/3 = 180°/3 = 60°.

∴ The value of each exterior angle of a regular polygon = 360°/n.

or, The value of each exterior angle of a regular polygon = 360°/3 = 120°.

∴ The given regular polygon is an equilateral triangle.

The measure of one interior angle of it is 60°.

The measure of one exterior angle is 120°.

Learn more about regular polygons at

https://brainly.com/question/1592456

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Answer:

you can pick any of them

Step-by-step explanation:

Answer: Any are right

Step-by-step explanation:

Answer:

y = 55

Step-by-step explanation:

The sum of the angles of a triangle are 180

40 + y+30 + y = 180

Combine like terms

70 +2y = 180

Subtract 70 from each side

2y = 180-70

2y = 110

Divide each side by 2

2y/2 = 110/2

y = 55

Answer:

The slope of p is also - 3 .

Since p and q are parallel their slope are also the same.

Hope this helps

Answer:

The slope of line p is also -3

Step-by-step explanation:

Recall that parallel lines have the property of carrying the exact same slope (that is why they don't intersect). Therefore if the slope of line q is -3, the slope of line p must also be -3.

Answer: B. False

Step-by-step explanation:

It does not follow the Pythagorean Theorem (a^2 + b^2 = c^2)

The sum of the two legs (shorter sides) squared would have to equal the hypotenuse (longest side) squared in order to form a right triangle.

5^2 = 25

6^2 = 36

25 + 36 = 61

8^2 = 64

61 < 64

Answer:

6 hours and 45 minutes

Step-by-step explanation:

if you divide 3 hours by four songs you deduce that it take 45 minutes to record one song.

8 is double 4 so it will take 3more hours plus the 45 minutes for the ninth song.

3+3+.45= 6.45

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

the answer is 22 degrees

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

We have,

The area of a sector can be calculated using the formula:

Area = (θ/360) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.

The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.

Substituting the values into the formula:

Area = (122/360) * π * (18²)

Area = (0.3389) * 3.14159 * 324

Area ≈ 344.77 square inches

Area = 345 square inches

Therefore,

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

Learn mroe about the area of sectors here:

https://brainly.com/question/1582027

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Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

Answer:

D

Step-by-step explanation:

Assuming the figure to be a parallelogram, then

The consecutive angles are supplementary, that is

∠ D + ∠ C = 180°

145° + ∠ C = 180° ( subtract 145° from both sides )

∠ C = 35° → D

Answer:

A. -55

Step-by-step explanation:

f(x)=-2x^2+4x-7

f(-4)= -2(-4)^2+4(-4)-7

= -2(16)-18-7

= -32-16-7

= -55

Answer:

-55

Step-by-step explanation:

f(x) = −2x^2 + 4x − 7

Let x = -4

f(-4) = −2(-4)^2 + 4(-4) − 7

      = -2 (16) -16 -7

      = -32 -16 -7

      =-55

Answer:

I think it's 60%

Step-by-step explanation:

There are total 10 sophomores, and 6 are male, so 6/10 are male, meaning there's a 60% chance.

I hope this helps you! Please give brainliest!

Answer:

it's c

Step-by-step explanation:

I saw this on Ed 2020

Answer:

it is C i took the assignment

Step-by-step explanation:

person above me is correct too edge 2020

Answer:

[tex]g(x) = \frac14x^2[/tex]

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

Answer:

8/4

Step-by-step explanation:

2/1

We want a denominator of 4 so multiply by 4/4

2/1 * 4/4 = 8/4

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of x as follows:

x° + x° + 90° = 180°

2x° = 90°

x° = 45°

Compute the length of side AP as follows:

[tex]cos\ 45^{0}=\frac{AP}{CA}[/tex]

      [tex]\frac{1}{\sqrt{2}}=\frac{AP}{5}[/tex]

     [tex]AP =\frac{5}{\sqrt{2}}\\\\AP=3.5[/tex]

Then the length of side AB is:

AB = AP + PB

     = 3.5 + 3.5

     = 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

                = 7 + 5 + 5

                = 17

Thus, the perimeter of the triangle ABC is 17 cm.

Answer:

8 ounces

Step-by-step explanation:

First, you should convert the 1 1/2 pounds to ounces. (24 ounces) Once that is converted, you can then divide it by 3 to find how many blueberries you need. (24÷3=8) So now you can see that you need 8 ounces of blueberries for the pie.

Answer:

No

Step-by-step explanation:

Integers are whole numbers 1, 2, 3, 4, so on and so on

Answer:

No.

Step-by-step explanation:

Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).

Answer:

x = 9 (first odd number)

x + 2 = 11 (second odd number)

Step-by-step explanation:

Let

x =first odd number

x + 2=second odd number

given:

1/x - 1/(x + 2) = 2/99

Find the LCM

(x+2)-x / x(x+2)=2/99

x+2-x / x(x+2)=2/99

common denominator x( x + 2)

2 / x(x + 2) = 2/99

Take the reciprocal of both sides

1/2x(x + 2) = 99/2

multiply both by 2

x(x +2) = 99

Expand the left side

x^2 + 2x = 99

add 1 to both sides

x^2 + 2x + 1 = 100

express the left side as a square

(x + 1)^2 = 100

Square root of both sides

x + 1 = 10 or x + 1 = -10

taking the positive root only

x = 9 (first odd number)

x + 2 = 11 (second odd number)

check:

1/9 - 1/11 = 2/99

11/99 - 9/99 = 2/99

2/99 = 2/99

Answer:

Step-by-step explanation: