What’s the value of k ?

Whats The Value Of K ?

Answers

Answer 1

Hello!

[tex]\large\boxed{k = 10^{o}}[/tex]

When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:

m∠YZX + m∠ZXY ≅ m∠MYZ

(4k + 5)° + (6k + 10)° = 115°

Combine like terms:

10k + 15 = 115°

Subtract 15 from both sides:

10k = 100°

Divide both sides by 10:

k = 10°

Answer 2

Answer:

k=10

Step-by-step explanation:

First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.

Second you would set the equations equal to 115

4k+5+6k+10=115

Then you would combine the like terms

10k+15=115

next you would subtract the 15 from both sides

10k=100

then you divide by 10

k=10


Related Questions

If Patrick was pushing directly downward on the rock with a force of 10 N. How much work did Patrick do? Show/explain your work.

Answers

Answer:

Patrick from spongebob? He dosent do work

Step-by-step explanation:

HELP PLEASE IM GIVING 50 POINTS PLEASE HELP I HAVE NOT MUCH TIME

Answers

Answer:

2.25 inches

Step-by-step explanation:

Number of books: 12

Height of stack: 27 inches

27 divided by 12 = 2.25 inches

Answer:

9/4

Step-by-step explanation:

27/12 = 9/4 inch

= 2,25 inch

Put these 3 problems in order from least to greatest: (WILL GIVE BRAINLIEST)
-15.2, -15.9, 3.6, -3.6


-15.9, -15.2, -3.6, 3.6


2.03, -2.3, -2.03, 3.0

Answers

1.) -15.9, -15.2, -3.6, 3.6
2.) second one is already correct
3.)-2.3, -2.03, 2.03, 3.0

The Spanish club raised $131.25 by having a garage sale and car wash. The amount raised at the car wash was half the amount raised at the garage sale. How much was raised at each event​

Answers

Answer:

Car Wash: $43.75   and   Garage Sale: $87.5

-3x-6y=6 y=x+8 infinite solution no solution one solution

Answers

Answer:

3x-6y=6

y=x+8

3x - 6(x+8) = 6

3x - 6x - 48 = 6

-3x - 48 = 6 / +48

-3x = 54 // -3

x = - 18

y = -18 +8 = 10

Step-by-step explanation:

help need ASAP
agebra 1

Answers

Answer:

Your answer is D

Step-by-step explanation:

Let's solve your system by substitution.

y−2x=3;3x−2y=5

Rewrite equations:

−2x+y=3;3x−2y=5

Step: Solve−2x+y=3for y:

−2x+y=3

−2x+y+2x=3+2x(Add 2x to both sides)

y=2x+3

Step: Substitute2x+3foryin3x−2y=5:

3x−2y=5

3x−2(2x+3)=5

−x−6=5(Simplify both sides of the equation)

−x−6+6=5+6(Add 6 to both sides)

−x=11

−x

−1

=

11

−1

(Divide both sides by -1)

x=−11

Step: Substitute−11forxiny=2x+3:

y=2x+3

y=(2)(−11)+3

y=−19(Simplify both sides of the equation)

Answer:

x=−11 and y=−19

The length of a rectangle is 10 inches longer than its width. If the area of the rectangle is 144 square inches, what are its dimensions? Write an equation is standard form that can be used to find the dimensions.

Answers

Answer:

L= 18 in

W= 8 in

Step-by-step explanation:

Step one:

The length of a rectangle is 10 inches longer than its width

let the width be x

so the lenght is x+10

the area of the rectangle is 144 square inches

Step two:

[tex]Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0[/tex]

the factors for the quadratic expression is

18 and -8

[tex]x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18[/tex]

the width is 8 in

the length is 8+10= 18 in

From the equation, the length is 18 inches and the width is 8 inches.

Let width = w

Since the length of a rectangle is 10 inches longer than its width, the length will be w+10.

Area = 144 inches²

Area = Length × Width

w(w + 10) = 144

w² + 10w = 144

w² + 18w - 8w - 144 = 0

w(w + 18) - 8(w + 18) = 0

(w - 8) = 0

w = 0 + 8 = 8

Length = w + 10 = 8 + 10 = 18

Learn more about equations on:

https://brainly.com/question/2972832

on the following unit circle, \thetaθtheta is in radians. a unit circle with an angle from the positive x-axis to a ray labeled theta. the point where the ray intersects the circle is labeled 0.54, 0.84 and is in the first quadrant.

Answers

The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84

According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).

We need to find the trigonometric values, that is

 sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.

 sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.

Also note that,  sinƟ = perpendicular/hypotenuse

Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis

Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.

Thus, sinƟ = 0.84/1 = 0.84

Hence, sin(Π-Ɵ) = 0.84

  And sin(Π+Ɵ) = -0.84

Learn more about trigonometry here : https://brainly.com/question/13729598

#SPJ4

Which statement is NOT true about the absolute value of -6?

Answers

Answer:

2: it describes the distance between 6 and -6 on the number line.

what is 25 rounded to the hundreds place

Answers

Answer:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

how do I solve this, please help

Answers

9514 1404 393

Answer:

EF = DE = 44FG = DG = 36FH = DF = 31

Step-by-step explanation:

Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.

  DE = EF

  (9x -1) = (7x +9)

  2x = 10 . . . . . . . add 1-7x

  x = 5 . . . . . . . . . divide by 2

__

Similarly, marked sides GD and GF are the same length, so ...

  GD = GF

  (10y -4) = (7y +8)

  3y = 12 . . . . . . . . . . add 4-7y

  y = 4 . . . . . . . . . divide by 3

__

Now, we have what we need to calculate the side lengths.

  EF = 7x+9 = 7·5 +9 = 44

  DE = 9x-1 = 9·4 -1 = 44

  FG = 7y+8 = 7·4 +8 = 36

  DG = 10y-4 = 10·4 -4 = 36

  FH = 3x+4y = 3·5 +4·4 = 31

  DF = FH = 31

Plz help I will give brainliest

Answers

Answer:bc

Step-by-step explanation:

Alana buys 3 pounds of potatoes for $2.82. What is the unit
price of the potatoes?
A. $9.40 per pound
B. $8.46 per pound
C. $1.41 per pound
D. $0.94 per pound

Answers

Answer:

D. $0.94 per pound

Step-by-step explanation:

To find how much each potato costs, we have to do 2.82/3

This is equal to $0.94, so $0.94 per pound!

Check:

With each potato being $0.94 ( according to my calculations ), 3 potatoes should be $2.82. So, $0.94 * 3 should be equal to $2.82.

3 * 0.94 = 2.82       Correct!

D.$0.94 per pound since $2.82 divided by the 3 pounds is .94

e) 340 people participated in a conference. If the ratio of ladies and gentleman is
3:2, find the number of ladies and gentlemen in the conference.​

Answers

Answer:

There were 204 ladies and 136 gentlemen in the conference

Step-by-step explanation:

Let's set the variables:

L = number of ladies in the conference

G = number of gentlemen in the conference

We know 340 people participated in the conference, thus:

L + G = 340         [1]

We are also given the ratio of ladies and gentleman as 3:2, thus:

L/G = 3/2

Cross-multiplying:

2L = 3G        [2]

From [1]:

L = 340 - G

Substituting in [2]:

2(340 - G) = 3G

Operating:

680 - 2G = 3G

5G = 680

G = 680/5 = 136

G = 136

L = 340 - 136 = 204

L = 204

There were 204 ladies and 136 gentlemen in the conference

Graph the linear inequality.
3x – 4y > 8
HELP ASAP

Answers

brainly isn’t letting me insert a picture but the anwser is y<2+3x/4

Which relation is not a function?

Answers

For it to be a function none of the x values can repeat.

In D. the x value nine repeats.

Therefore the answer is D.

1.
For the function f(x) =
8x + 10, find the inverse function.
O
x2 - 10
f-4x) =
-,X20
8
O
(x - 10)2
f-1(x) =
x2 10
8
f-1(x)
X2 + 10
8
,*20
x2 - 10
f-4(x) =
-, X30
8

Answers

Answer:

The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Step-by-step explanation:

[tex]f(x)=8x+10[/tex]

We need to find inverse of the function.

For finding inverse of function,

let [tex]y=8x+10[/tex]

Now, solving to find value of x

Subtracting 10 on both sides

[tex]y-10=8x+10-10\\y-10=8x[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]

Now replace y with x and x with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]

So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Answer:

The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]

Which function is negative for the interval [-1, 1)?

Answers

Answer:

madarchod

Step-by-step explanation:

randi bhosdike

What is 3 times 3 +77-23/4

Answers

Answer:

80.25

Step-by-step explanation:

whats the midpoint? im pretty confused

Answers

the mid point is (7, 7/2)

Plz hurry will give 17 points and brainliest
What is 2/3 divided by 1/6?
2
3
4
6

Answers

Answer:

4

Step-by-step explanation:

5x - 7 = 4
can u pleas e solve

Answers

Answer:

[tex]\frac{11}{5}[/tex]

Step-by-step explanation:

1. isolate x by adding 7 to the other side (7+4)

5x - 7 = 4

5x = 11

2. divide by 5 to get x alone

x = 11/5

Answer:

Step-by-step explanation:

5x - 7 = 4

5x=4+7

5x=11

x=11/5

x=2.2

PLEASE HELP DUE TODAYWhich of the following types of triangles have angles of equal measure?

Select one:
A. Scalene
B. Right
C. Equiangular
D. Isosceles

Answers

Answer:

Equaiangular

Step-by-step explanation:

think equal

For every boy in an advanced math course there are 3 girls who are taking the course.
If 32 students are enrolled in the course, how many students are girls?
A:24
B:26
C:28
D:21

Answers

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

Given that For every boy in an advanced math course there are 3 girls who are taking the course.

It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

so

75% of 32 = 75/100 × 32

                 = 24

Thus, if 32 students are enrolled in the course, there would be 24 girls.

What is the decimal expansion of 3/11​

Answers

Answer:

It is 300 + 10 + 1.

Step-by-step explanation:

Answer:

.27

Step-by-step explanation:

just divide 3/11

. In Exercise 16, the height of the rocket was given by h=256t-167². Use the
discriminant to answer the following questions.
a. Will the rocket reach an altitude of 1000 ft?
b. Will the rocket reach an altitude of 1024 ft?
c. Will the rocket reach an altitude of 1048 ft?

Answers

Answer:

USE AIR MATH!!!!!!!!!!!!!!!

Step-by-step explanation:

The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases as 2 inches. One inch on this drawing

equals how many feet?

Enter your response here:

Answers

Answer:

1 inch of drawing = 45 feet

Step-by-step explanation:

Given that:

Length between the bases on a baseball field = 90 feet

As per the scale drawing, the distance between the bases is equal to 2 inches.

To find:

Length of one inch on the drawing is equal to actual length of how many feet?

Solution:

First of all, let us learn about the scale drawings.

Scale drawings are a way to represent the big real world measurements on a paper.

Therefore, small measurements are used to represent the bigger real world measurements.

Here, it is given that:

2 inches on scale is equal to 90 feet of actual length.

Therefore,

1 inch on scale is equal to [tex]\frac{90}{2}[/tex] = 45 feet of actual length.

Therefore, 1 inch of drawing = 45 feet

can someone help me? im not really good with slope

Answers

1. m=1/2 b=4 y=1/2x+4
2. m=-1/2 b=-3 y=-1/2x-3
3. m=-3/2 b=-1 y=-3/2x-1
4. m=1/2 b=-1 y=1/2x-1

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

[tex]x= \frac{y}{m} + b [/tex]

Can yall help me? I will give out brainliest!!!
Can yall find the area of the shape? I'm so confused. Please HELP

Answers

Answer:

The total area is 29 cm2

Step-by-step explanation:

The area of the first rectangle (left side) is 4 * 2 = 8

Second rectangle ( right side ) 4 * 3 = 12

The triangle is 3 * (4 + 2) * 1/ 2 = 9

Total area is 29 cm2

If three pounds of apples costs $5.25, how much will 10 pounds
cost?

Answers

Answer:

$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.

Step-by-step explanation:

Answer:

the answer is 17.50

Step-by-step explanation:

one pound is 1.75 so you multiply that by 10 and you get 17.50

if my answer helped give me a thanks a rating and i would appreciate a brainliest

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