If k is parallel to l find the value of a and the value of b.

If K Is Parallel To L Find The Value Of A And The Value Of B.

Answers

Answer 1

Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3                    

Cross multiply

3a = 2(a + 15)            Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40


Related Questions

what is the area of parallelogram abcd? HELP THIS IS TIMED​

Answers

Answer:

13.04 square units

Step-by-step explanation:

Since this is a parallelogram, we only need to solve for the sides of 2 sides.

We can use the distance formula.

The distance from A --> D :

A(3,6) and D(2,2)

2 - 3 = -1

-1^2 = 1

2 - 6 = -4

-4^2 = 16

1 + 16 = 17

[tex]\sqrt{17}[/tex]

The distance from A --> B :

A(3,6) and B(6,5)

6 - 3 = 3

3^2 = 9

5 - 6 = -1

-1^2 = 1

9 + 1 = 10

[tex]\sqrt{10}[/tex]

Multiply.

[tex]\sqrt{10}*\sqrt{17}=13.04[/tex]

*Rounded to the nearest hundreth

What did cicero mean by delivery

Answers

cicero meant to transfer something to someone .

Answer:

Body language and vocal technique

Step-by-step explanation:

7 times the sum of a number and 4 is the same as 8 decreased by 3 times the number. Find the number

Answers

Answer:

7(x4) = 8-x

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

7(4+x)=8-3x would be your equation

your first step would be to move your 3x to the other side of the equation by adding 3x to both sides after this your equation should look as follows: 7(4+x)+3x=8 2nd: you should distribute your 7 to the numbers inside of the parenthsis and combine like terms to get 10x+28=8 then you move your 28 to the other side by subracting 28 and you will get 10x=-20 divide by ten to get the answer which is x=-2

PLZZZ HELP!!!
what is the slope of the line

Answers

Answer:

0

Step-by-step explanation:

The slope of a line is   Change in y

                                     --------------------

                                       change in x

y does not change

                                    0

                                   ------

                                    change in x

Slope = 0

Horizontal lines have 0 slope

Vertical lines have undefined slope

A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?

Answers

Answer:

[tex]\frac{3}{8}[/tex] cups of oil

Step-by-step explanation:

Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.

To Find:  How much oil (in cups) is needed per cup of water?

Solution:

Oil required by [tex]\frac{2}{3}[/tex] cup of water = [tex]\frac{1}{4}[/tex]

Oil required by 1 cup of water = [tex]\frac{\frac{1}{4}}{\frac{2}{3}}[/tex]

                                                   = [tex]\frac{3}{8}[/tex]

Hence [tex]\frac{3}{8}[/tex] cups of oil is needed for per cup of water.

The oil required for one cup of water is 3/8 cup.

How do you calculate the quantity of oil?

Given that a recipe requires 1/4 cup of oil for every 2/3 cup of water.

The quantities of oil and water are given in fractions. We can write as,

[tex]\dfrac {1}{4}cup \; oil = \dfrac {2}{3} cup\;water[/tex]

[tex]1 cup\;water = \dfrac {\dfrac {1}{4}cup\;oil}{\dfrac{2}{3}}[/tex]

[tex]1cup\;water = \dfrac {3}{8}cup\;oil[/tex]

Hence we can conclude that the oil required for one cup of water is 3/8 cup.

To know more about fractions, folow the link given below.

https://brainly.com/question/1295669.

Trying to work out the perimeter of the total area & the area of the seating space and keep getting the wrong answers:

A) 187.8
B) 598

Answers

A is the correct answer I believe

Answer:

Perimeter of Total Area = 18.4(2) + 32.5(2) = 101.8 meters

Area of Seating Space = 178 squared meters

Step-by-step explanation:

Perimeter of Total Area = 18.4(2) + 32.5(2) = 101.8 m

Seating Space = 18.4*32.5 = 598

Basketball Court = 15*28 = 420

598 - 420 = 178

Area of Seating Space = 178 squared meters

What is the slope of this line

Answers

Answer:

The slope is 1

Step-by-step explanation:

The slope of the line is also its gradient. A gradient is basically rise/run

In this case the rise is one and the run is also one if you look at the graph...therefore 1/1 equals 1

Just by eyeballing the graph, you could see that the slope is 1: whenever x increases by 1, y will also increase by 1. Since the slope is defined as the ratio of the increments along the y and x axis, we have 1/1=1.

If you want to be more formal, you can pick any two points on the line, for example (0,1) and (3,4), and use the formula

[tex]m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{4-1}{3-0} = 1[/tex]

The sides of ∠A are tangent to circle k(O) with radius r. Find: r, if OA=14 dm, m∠A=90°.

Answers

Answer:

r = √98

Step-by-step explanation:

angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:

r^2 + r^2 = 14^2

2r^2 = 14^2

2r^2 = 196

r^2 = 98

r = √98

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The angle A is 90 degree.

The side OA is 14.

There will be a right triangle formed.

So, Using Pythagorean theorem,

[tex]r^2+r^2=14^2[/tex]

[tex]2r^2=196[/tex]

Dividing 2 in both sides

[tex]r^2=\frac{196}{2}=98[/tex]

[tex]r=\sqrt{98}[/tex]

[tex]r=7\sqrt{2}[/tex]

So,the answer is [tex]7\sqrt{2}[/tex]     :     Answer

Hope it will help :)

twice the difference of a number and 7 equals 2.

Answers

Hello there!

An equation to model the number is: n - 7 x 2 = 2

To find the equation, break apart the question.

twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2

twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.

twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.

The value of the number based on the information given is 8.

Let the number be represented by x.

Since we are given the equation that twice the difference of a number and 7 equals 2, the equation to solve this will be:

2(x - 7) = 2

2x - 14 = 2

2x = 2 + 14

2x = 16

x = 16/2

x = 8

The value of the number is 8

Read related link on:

https://brainly.com/question/11495012

Find the total area of the solid figure.
90 sq. ft.
126 sq.ft
150 sq.ft

Answers

Answer:

90 sq. ft.

Step-by-step explanation:

The formula you need to use is length*width*height. If you plug the numbers given into the equation, you get 5*3*6. Multiply this for the answer.

Answer:  The correct option is (B) 126 sq. feet.

Step-by-step explanation:  We are given to find the total area of the solid figure.

We can see that the given solid figure is a cuboid.

The total area of a cuboid with length l units, breadth b units and height w units is given by

[tex]A=2(lb+bh+hl).[/tex]

For the given cuboid, we have

length, l = 5 feet,

breadth, b = 3 feet and

height, h = 6 feet.

Therefore, the total area of the given cuboid will be

[tex]A=2(5\times 3+3\times6+6\times 5)=2(15+18+30)=2\times63=126~\textup{sq. feet}.[/tex]

Thus, the total area of teh solid figure is 126 sq. feet.

Option (B) is CORRECT.

Help for the two questions shown.

Answers

(1) the answer for this question is 33 metre square

rectangle is 4*7 that is 28meter square +5 m^2

33m^2

(2) answer for this question is 19 yard square

area of square is 3*3 that is 9m^2+10m^2

19m^2

hope it helps you !!!!!!!

1) 33 square meter2) 19 square yardsHope this helped!

Evan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan’s history test?

Answers

Answer:

There are 40 total questions on his text.

Step-by-step explanation:

To find this, divide the number of questions he got right by the percentage of the total they represent.

32/80% = 40

Answer:

40?

Step-by-step explanation:

Evaluate the expression.

8^7/8^7

Answers

The value of the expression (8^7)/(8^7) is 1.

The expression (8^7)/(8^7) can be simplified using the properties of exponents. According to the quotient rule of exponents, when dividing two numbers with the same base, the exponents are subtracted. In this case:

   (8^7)/(8^7) = 8^(7-7) = 8^0

Any non-zero number raised to the power of 0 is equal to 1, according to the fundamental property of exponentiation. Therefore, the value of the expression (8^7)/(8^7) is 1.

Hence, the value of the expression (8^7)/(8^7) is 1.

By applying the quotient rule of exponents, we simplify the expression to 1, reflecting the property of exponentiation where any non-zero number raised to the power of 0 equals 1.

Find the value of X answer in simplest form

Answers

Answer:

14.14

Step-by-step explanation:

You can find the value of x using the trig ratio Sine = opposite/hypotenuse.

The sin 45 = 10/x. Solve for x.

x= 10/ sin45

x = 10/0.707

x = 14.14

Geometry Question, high point value.

Answers

Answer:

m∠ACB = 8°

Step-by-step explanation:

look at the picture

The answer is 29 degrees.

what is angle COD????

Answers

Given a straight line segment AB with points A, O, and B, and angle measures <COA, <COD, and <DOB, we find <COD to be 45 degrees using angle sum properties.

In the given scenario, we have a straight line segment AB, and points O, A, and B lying on it. We are required to find the measure of angle COD, denoted as <COD. According to the information provided, <COA is (3x + 94), <COD is (x + 36), and <DOB is (2x - 4).

Since A, O, and B are collinear, the sum of the angles around point O must be 180 degrees. Therefore, <COA + <COD + <DOB = 180 degrees. Substituting the given angle measures into the equation, we get:

(3x + 94) + (x + 36) + (2x - 4) = 180.

Combining like terms and solving for x:

6x + 126 = 180,

6x = 54,

x = 9.

Now that we have the value for x, we can find <COD by substituting it into the expression (x + 36):

<COD = 9 + 36 = 45 degrees.

Therefore, the measure of angle COD is 45 degrees.

Given: The measure of arc EY = The measure of arc YI, m∠EXY = 80°, and m∠K = 25°.

Find: The measure of arc EI.

PLEASE HELP ME WITH A PROBLEM FROM MY GEOMETRY HOMEWORK AS SOON AS POSSIBLE THANK YOU SO MUCH!!!

Kyle.

Answers

Let [tex]x=m\widehat{EY}=m\widehat{YI}[/tex]. By the inscribed angle theorem, we have

[tex]m\angle EJI=\dfrac12m\angle EOI=\dfrac12m\widehat{EI}=\dfrac{m\widehat{EY}+m\widehat{YI}}2=x^\circ[/tex]

Then

[tex]m\angle KJE=(180-x)^\circ[/tex]

Also by the inscribed angle theorem, we have

[tex]m\angle ELY=\dfrac12m\angle EOY=\dfrac12m\widehat{EY}=\left(\dfrac x2\right)^\circ[/tex]

so that

[tex]m\angle KLX=\left(180-\dfrac x2\right)^\circ[/tex]

Angles EXY and LXJ form a vertical pair so they are congruent and both have measure [tex]80^\circ[/tex].

The sum of the interior angles to any quadrilateral is [tex]360^\circ[/tex], so for quadrilateral KLXJ we get

[tex]25^\circ+\left(180-\dfrac x2\right)^\circ+(180-x)^\circ+80^\circ=360^\circ\implies x^\circ=70^\circ[/tex]

So,

[tex]m\widehat{EI}=2x^\circ=\boxed{140^\circ}[/tex]

Answer:

Step-by-step explanation:

Let . By the inscribed angle theorem, we have

Then

Also by the inscribed angle theorem, we have

so that

Angles EXY and LXJ form a vertical pair so they are congruent and both have measure .

The sum of the interior angles to any quadrilateral is , so for quadrilateral KLXJ we get

So,

Read more on Brainly.com - https://brainly.com/question/12616099#readmore

Please answer right away and don’t guess

Answers

Answer:

Last Option

[tex]P (B) = 0.6[/tex]

Step-by-step explanation:

We have the Venn diagram that shows the probabilities of occurrence of 3 events A, B and C

In this case, since events A and B and B and C are non-disjoint events, then the probability of occurrence B is the sum of the probability that only B will occur plus the probability of occuring A and B plus the probability that B and C occur

This is:

[tex]P (B) = 0.1 +0.3 +0.2[/tex]

[tex]P (B) = 0.6[/tex].

a textbook has a length of 6 inches, a height of y inches, and a width of x inches. if the length of the diagonal of the front cover is 8 inches and the length of the diagonal of the width is 7 inches, find the values of x and y.

Answers

Answer:

Part 1) The value of x is [tex]2\sqrt{7}\ in[/tex]

Part 2) The value of y is [tex]\sqrt{21}\ in[/tex]

Step-by-step explanation:

Part 1

Find the value of x

Applying Pythagoras Theorem

[tex]8^{2}=x^{2} +6^{2}[/tex]

[tex]x^{2}=8^{2}-6^{2}[/tex]

[tex]x^{2}=28[/tex]

[tex]x=2\sqrt{7}\ in[/tex]

Part 2

Find the value of y

Applying Pythagoras Theorem

[tex]7^{2}=x^{2} +y^{2}[/tex]

substitute the value of x

[tex]7^{2}=28 +y^{2}[/tex]

[tex]y^{2}=7^{2}-28[/tex]

[tex]y^{2}=21[/tex]

[tex]y=\sqrt{21}\ in[/tex]

PLZZZ HELP ASAP!!!!!!!!!!!!!!!!It is a 75 mile trip to your grandparent's house. Which divisibility rule proves that 75 is an odd number? A) divisibility by 1 B) divisibility by 2 C) divisibility by 3 D) divisibility by 5

Answers

Divisibility by 2 would be the correct answer. Two is an even number, and the only listed at that. Odd numbers are only divisible by another odd number. Hope I helped you !

Answer:

the answer is B) divisibility by 2

Step-by-step explanation:

I got the answer on the USA test prep.

thanks for your help with brainly

ABCD is a square.



What is the length of line segment DC?

5 units
7 units
11 units
13 units

Answers

It can be any of these. We cannot actually say without knowing the length of any of the other sides.

Answer:

D. 13 units

Step-by-step explanation:

HURRY!!!!!!
I neeeed helpif you help ill put you on my stream maybe!!!

Answers

Answer:

Q1. is 628 cm

Q2 18.84 cm

Step-by-step explanation:

Q1. 400 / 2 = 200 to get the radius

3.14 * 200 = 628

Q2. 12 / 2 = 6 to get the radius

31.4 * 6 = 18.84

worth 30 points!!!
Please help me

Answers

Answer:

1. true

2.True

3.False

4.false

Step-by-step explanation:

Twelve students earned A's. This was 3/8 of the students in the class. What percent of the students did not earn A's?

Answers

Answer:

62.5% of the class

Step-by-step explanation:

If 12 students is 3/8 of the class, the ones who earned A's, then 5/8 did not earn A's.

Let c represent the total number of students in the class.

Then (3/8)c = 12, and c = (8/3)(12) = 32.

5/8 of these 32 students did not earn A's:  (5/8)(32) = 20.

These 20 students constitute 20/32 of the class, or 0.625 of the class, or 62.5% of the class.

PLZ HELP GIVING AS MANY POINTS AS I CAN

Answers

7 and trinomial i believe !

{Answer the question below.}

Answers

Answer:

16÷25=0.64

0.64x2 =1.28

Step-by-step explanation:

Which of the following statements about closure is false?

Answers

Answer:

Option C is false.

Step-by-step explanation:

The correct answer is:

C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

This is false because sometimes when we divide polynomials, one polynomial does not gets completely or evenly divided by the other.  

In such cases, we get a remainder which is not a monomial as the variable has a negative power. This means the quotient is not a polynomial.

We can show this by example : suppose we want to divide

[tex]x^{-6}[/tex]by [tex]x^{2}[/tex]

=> [tex]\frac{x^{-6} }{x^{2} }[/tex]

=> [tex]x^{-6-2}[/tex] =>[tex]x^{-8}[/tex]

This is not a polynomial. So the closure property does not hold true for division of polynomials.

How do I solve this?

Answers

[tex]\text{The angle from the right is 30}^\circ \\ \\ \text{We use sinus theorem:}\\\\ \dfrac{y}{\sin(60)^{\circ}} = \dfrac{8}{\sin(30)^{\circ}} \Rightarrow \dfrac{y}{\dfrac{\sqrt{3}}{2}} = \dfrac{8}{\dfrac{1}{2}} \Rightarrow y = \dfrac{\sqrt 3}{2}\cdot 16\Rightarrow \boxed{y = 8\sqrt 3}[/tex]

Answer:

y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex], hence

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{8}[/tex]

Multiply both sides by 8

8 × tan60° = y, so

y = 8[tex]\sqrt{3}[/tex] ← exact value

I need help please.

Answers

Answer:

i think this is it

Step-by-step explanation:

the answer i got is just 55

Which description best fits the distribution of the data
shown in the histogram?

A. The mean is greater than the median.

B. The mean and median are approximately the same

C. The mean is less than the median

Answers

Answer:

The correct option is A.

Step-by-step explanation:

From the given histogram it is clear that it is right skewed or positive skewed distribution because the tail is stretched toward right.

Negative skewed: Mean < Median < Mode

No skewed: Mean = Median = Mode

Positive skewed: Mean > Median > Mode

Since the given histogram is positive skewed distribution, therefore mean is greater than the median.

Hence the correct option is A.

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