Mathematics Middle School

A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degrees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =

Find the following angle measures.
mAngleJKM = °
mAngleMKL = °

Answers

Answer 1

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

[tex]<JKM+<MKL=180^\circ\\\\[/tex]

Substitute the values of both angle to solve the equation:

[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

A Horizontal Line Has Points J, K, L. A Line Extends From Point K Up And To The Right To Point M. Angle
Answer 2

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

Related Questions

Please help me with the question below

Answers

Answer:

A

Step-by-step explanation:

Find the volume of the tank but dont use the height of the tank instead use the height of the water in the tank

Tank is cuboid in shape thus:

Volume=length xwidthxheight

=60in×24in×3in

=4320 cubic inches

note:height is the same as depth

The answer is A 4,320 cubic inches

What are the zeroes of f(x) = x2 − 6x + 8? (1 point) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2

Answers

Answer:

x = 4 , 2

Step-by-step explanation:

x² - 6x + 8=0

(x -2)(x + 4)=0

x= 4,2

Therefore the zeros of f(x) are 4 and 2.

Hope this helps.

You should draw a line of best fit for a scatter plot if there is no correlation among the data points. True False

Answers

Answer:

False

Step-by-step explanation:

N/A

what is another name for the center on the angle

Answers

Answer:

Vertex I think

Step-by-step explanation:

6. Mr Chua's car consumes petrol at an average rate

of 8 litres daily. Before Mr Chua begins his journey,

he tops up the petrol in his car to 100 litres. Given

that he will next top up the petrol in his car when

there are 20 litres left, form an inequality and solve

it to find the maximum number of days he can travel

before he has to top up the petrol in his car. 10

Answers

Answer: He can travel up to 9 days before he has to top up the petrol in his car.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The petrol available (100) minus the amount that his car consumes per day (8x) must be higher to 20 (liters left)

Mathematically speaking:

100- 8x > 20

Where x is the number of days.

Solving for x:

100-20>8x

80 > 8x

80/8> x

10>x

x <10

x must be less than 10 days .

He can travel up to 9 days before he has to top up the petrol in his car.

At Sami's Shoe Warehouse, it takes 4 over 5 day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? (5 points)

6 days
8 days
11 and 1/4 days
12 and 1/2 days


HELP AASAP BRAINLIEST WILL BE AWARDED

Answers

The answer is 8 days.

4/5 divided 1/10

4/5 x 10/1

40/5 = 8

Answer:

8 days

Step-by-step explanation:

if it takes 4/5 of a day to complete 1/10 of the order of sneakers, you are trying to determine how long it will take to get to 10/10.

so first we can determine what we have to multiply 1 by to get 10.

the answer is 10, so we can multiple by 10 to determine the amount of days it took:

4/5 x 10 and 1/10 x 10

therefore: 4/5 x 10 = 8

meaning, it would take 8 days to complete an entire order of sneakers.

1.) Predict how many times you will roll a number less than 3 if you roll a standard number cube 100 times. Round to the nearest integer, if necessary.

You will roll a number less than 3 about____
times.

2.) you flip a fair coin 28 times. About how many times would you expect heads to appear?


If a fair coin is flipped 28 times then heads should appear about______
times.

Answers

Step-by-step explanation:

i dont know one. but number to is 14. hope it helps

What is the angle of rotation from figure D to figure D’ ? Assume that the center of rotation is the origin.

A. 270° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 180° counterclockwise

Answers

Answer:

Option B.

Step-by-step explanation:

We take a point D from the figure attached,

Coordinates for the point D → (-1.5, 3.5)

And coordinates of D' → (3.5, 1.5)

Coordinates of D when rotated about the origin,

Option A. Rotated by 270° clockwise.

Rule to be followed,

D(x, y) → D'(-y, x)

D(-1.5, 3.5) → D'(-3.5, -1.5)

Therefore, Option A. is incorrect

Option B. rotation by 90° clockwise

Rule to be followed

D(x, y) → D'(y, -x)

D(-1.5, 3.5) → D'(3.5, 1.5)

Therefore, Option B. is correct.

Option C. 90° counterclockwise

Rule to be followed,

D(x, y) → D'(-y, x)

D(-1.5, 3.5) → D'(-3.5, -1.5)

This option C is incorrect.

Option D. 180° counterclockwise

Rule to be followed,

D(x, y) → D'(-x, -y)

D(-1.5, 3.5) → D'(1.5, -3.5)

Therefore, option D is incorrect.

Answer:

B. 90 clockwise

Step-by-step explanation:

Solve the equation: 9k - 2 - 43​

Answers

If simplified the new equation is 9k-45

Given what is the domain in set notation? {x|x ∈ R, x ≥ 4} {x|x ∈ R, x ≤ 4} {x|x ∈ R, x ≥ 2} {x|x ∈ R, x ≤ 2}

Answers

Answer:

A

Step-by-step explanation:

answer on edg 2020

Mya says when 10 is added to a number, the hundreds digit stays the same. Is Mya's statement always true?

Answers

Answer:

no

Step-by-step explanation:

When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.

Answer:

the answer is no

Step-by-step explanation:

500+100=600


Write an algebraic rule to describe the translation B(3,2)→ 8'(-5,0).

Answers

Answer:

<-8,-2>

Step-by-step explanation:

Answer:

(x - 8, y - 2)

Step-by-step explanation:

x-coordinates:

3 and -5

How do you get from 3 to -5?

You subtract 8

This means:

x - 8

y-coordinates:

2 and 0

How do you get from 2 to 0?

You subtract 2

This means:

y - 2

Put it together:

(x - 8, y - 2)

Therefore, the algebraic rule is subtract 8, subtract 2.

If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi

Answers

Answer:

V= 468 * 3.14 = 1.469.52

Step-by-step explanation:

Volume of a cylinder = π r^2 h

  V= 3.14  *6^2 * 13

   V= 1469.52 cubic unit                      

directions for constructing the orthocenter of a triangle?​

Answers

Answer:

6IMRYUr5yt

Step-by-step explanation:

rfuiyrbfbnggrnteetS32

Solve for x.

x/3 ≤ −6



x≤−18
x≤−2
x≥−18
x≥−2

Answers

Answer:

-The value of [tex]x[/tex]:

[tex]x \leq -18[/tex]

Step-by-step explanation:

-Solve the inequality for [tex]x[/tex]:

[tex]\frac{x}{3} \leq -6[/tex]

-Multiply both sides by the denominator, which [tex]3[/tex]:

[tex]3 \times \frac{x}{3} \leq -6 \times 3[/tex]

[tex]x \leq -18[/tex]

So, the final answer would be [tex]x \leq -18[/tex].

Answer:

[tex]x \leqslant - 18[/tex]

First answer is correct

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{x}{3} \leqslant - 6 \\ 3 \times \frac{x}{3} \leqslant - 6 \times 3 \\ = \: \: \: x \leqslant - 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the
prism?

Answers

8 x 2 x 5 = 80

So the volume of the prism would be 80 cubic centimeters

the volume of the rectangular prism is 80 cubic centimeters.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.

Volume = length × width × height

Substituting the given values into the formula:

Volume = 5 cm × 8 cm × 2 cm

Calculating the multiplication:

Volume = 80 cm³

Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.

Learn more about volume here

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If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling

Answers

The answer is 2 data sorting

Which of the following is true about translations? Question 2 options: A) Translation changes the lengths of the image. B) Translation creates an image congruent to the given image. C) Translation changes the shape and angles of the image. D) Translation creates an image similar to the given image.

Answers

Using translation concepts, it is found that the correct statement is given by:

B) Translation creates an image congruent to the given image.

D) Translation creates an image similar to the given image.

What is a translation?

A translation is represented by a change in the image position, keeping the angles and the length's of the sides.

The translated image is congruent and similar to the original image, hence options B and D are correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

D) Translation creates an image similar to the given image.

Step-by-step explanation:

ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870

Answers

Answer:

A

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

The missing angle is 67°.  (A)

EVERY quadrilateral has four inside angles that add up to 360°.  It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.

In this question, the first three angles add up to (100°+87°+106°) = 293°.

From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.

what is the value of the expression 3 1/4 - 1 7/8 =

Answers

The answer is 45/8
You have make sure that the denominator has the same value!
31/4-17/8=62/8-17/8
=45/8

What number is the same percent of 36 as 5 is of 24?
If possible please show work:))

Answers

Answer:

7.4999999988

Step-by-step explanation:

5/24=0.2083333333

5 is 20.8% of 24

36*0.2083333333=7.4999999988

Answer:

7.5

Step-by-step explanation:

x/36=5/24

x= 36*5/24

x= 7.5

Players on a softball team are randomly given a uniform with a two-digit number on the back. The numbers range from 10 to 99. What is the probability that the number on the uniform will end in 0?

Answers

Answer:

1/10 or 10%

Step-by-step explanation:

99 possible numbers starting from 10

1,2,3,4,5,6,7,8,9 does not count

99-9=90

90 numbers total

possible numbers with a 0: 9

9/90 = 1/10 = 10%

What is 181.5% of 18?

Answers

Answer:

32.67

Step-by-step explanation:

18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.

The solution of expression is,

⇒ 32.67

We have to given that;

To find the value of 181.5% of 18.

Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Hence, We can simplify as;

⇒ 181.5% of 18

⇒ 181.5/100 × 18

⇒ 1.815 × 18

⇒ 32.67

Thus, The solution of expression is,

⇒ 32.67

Learn more about the percent visit:

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Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Answers

Answer:

6.0869 mph

Step-by-step explanation:

Nina:

8 km: 45 mins

Jo:

8 km: 49 mins

Speed = distance / time

Speed= 8 / 49

What is a constant of proportionality in the equation 3y equals 2x?

Answers

Answer:

y=2/3x (y equals two-thirds x)

Step-by-step explanation:

3y=2x

(divide by 3 on both sides to get just the y value)

3/3y=2/3x

y=2/3x

How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2

Answers

Answer:

Below.

Step-by-step explanation:

Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.

The other 2 have negative values and -2 = -(2) so they have the same value, -4.

11. The chess club has 50 members. They want to raise $680 for a trip to a competition. The school will give $130. How much must each member pay?

Answers

Answer:

$11

Step-by-step explanation:

Total members = 50 ,    Raised amount = $680

If school gives $130 then all the 50 members will pay the remaining amount.

Remaining amount to be paid by the 50 members = $680 - $130 = $550

50 members = $550

1 member = $550/50

1 member = $ 11 ( Answer)

Be certain you have solved for both variables in the system of equations. Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3

Answers

Answer:

x= 1.27, y= 11.4 (to 3s.f.)

Step-by-step explanation:

5x -y= -5 -----(1)

3x -5y= -3 -----(2)

From (1):

-y= -5x -5

divide by -1 throughout:

y= 5x +5 -----(3)

Subst. (3) into (2):

3x -5(5x +5)= -3

3x -25x +25= -3 (expand)

-22x= -3 -25

-22x= -28

divide by -22 throughout:

x= 1.2727 (5 s.f.)

x= 1.27 (3 s.f.)

subst. into (3):

y= 5(1.2727) +5

y= 11.4 (3 s.f.)

Which algebraic expression is a polynomial with a degree of 5?

Answers

I hope this’s correct!

I NEED HELP PLS IF U HAVE THE WORK PLS PUT IT PLSSSSSS!!!:)

Answers

The answer is G because the line is going negative and it is f(x) =-x+2

Answer:

33. (2,7) graph's provided

34. g) it goes thru +2 on the y axis and it looks like it has a slope of -1, so -x

35. sorryyyy, i just honestly dont get it

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