The diagram shows two parallel lines cut by a transversal.


If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?

Enter the correct answer in the box.

The Diagram Shows Two Parallel Lines Cut By A Transversal.If The Measure Of 3=(2y+20) And The Measure

Answers

Answer 1

Answer:

∠4 = 110

Step-by-step explanation:

∠3 + ∠5 = 180    {Co-interior angles are supplementary}

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180    {Combine like terms}

-2y + 230 = 180

Subtract 230 from both sides

-2y = 180 - 230

-2y = -50  

Divide both sides by (-2)

  y = -50/-2

y = 25

∠5 = 210 - 4y

      = 210 - 4*25

       = 210 - 100

∠5 = 110

∠4 = ∠5    {Alternate interior angles are equal}

∠ 4 = 110°

Answer 2

Answer:

Step-by-step explanation:

110


Related Questions

Quick I need Helpppp!!

Triangle EFT is congruent to triangle JKL. What is KL, in units

Answers

Answer:

KL = 6 units.

Step-by-step explanation:

Congruent means the same or similar.

Hope this helps!

i need an explanation what....wajfasjf

Answers

3y^2 i don’t know for sure

solve −2 1/4⋅(−2 1/3)

a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4

Answers

Answer:

5 1/4

The answer is d (d 5 1/4)

Answer: D

Step-by-step explanation:

[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]

= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]

= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]

please give me a brainliest answer

Marie bought 6 pounds of apples for $0.87 per pound and
paid for them with a $10 bill. How much did she get back
in change?

Answers

Answer:

5.22

Step-by-step explanation:

rjskstks5oslyatkao5sylslgsltsirsotzktzo

Answer:

$4.78

Step-by-step explanation:

6 x 0.87 = 5.22

10.00 - 5.22 = 4.78

Maire got $4.78 back

in change

i am never able to do these, their so confusing yet SO easy- please help!

Answers

Answer:

a) independent: area to be painted in sq ft

dependent: amount of paint needed in gallons

b) independent: amount of milligrams

dependent: amount of sleep

Step-by-step explanation:

Easy tip to remember that is almost always right:

Your X variable is always independent, and your Y variable is always dependent.

If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"

Which variable depends on your other variable? Would help you find your dependent variable.

It makes sense that, the number of paint you need depends on how much sq ft you are painting.

Answer:

a) Independent variable: x (area to be painted)

   Dependent variable: y (amount of paint needed)

b) Independent variable: x (amount of medication)

    Dependent variable: y (amount of sleep)

Step-by-step explanation:

Independent variables are variables that do not depend on other variables to determine their values.

Dependent variables are variables that depend on other variables to determine their values.

The scale of a blueprint is 1 in.=20 ft.
The length of a wall in the blueprint is 2.5 in. What is the length of the actual wall?
What is the blueprint length of an entrance that is 5 ft wide?

Answers

Answer:

1) 50 feet

2) 0.25 or 1/4 inches

Step-by-step explanation:

If one inch is equal to 20 feet, then multiply 20 by 2.5 to find the length of the actual wall

5 feet is a fourth of 20 feet, and since 1 inch is equal to 20 feet, it would also be a fourth of an inch

-16>x divided by 2
Solve for x.

Answers

Answer:

x < -32

Step-by-step explanation:

The line through (-2, 3) with slope 2/3 in point slope form​

Answers

Answer:

y - 3 = 2/3(x + 2)

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

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

y - 3 = 2/3(x + 2)

point slope form of the line is y - 3 = 2/3(x + 2)

Answer:

y - 3 = 2/3(x + 2)

In a triangle abc angle a =x and angle b=2x what is the size of angle c

Answers

Answer:

∠c = 180 - 3x

Step-by-step explanation:

Triangle interior angles = 180.

Remember this fact:

The sum of the angles of any polygon = (number of sides in the figure - 2)(180)

∠a = x

∠b = 2x

∠c = 180 - 3x

1/(2+i)²

Solve this question....​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given complex number is

[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 - 1 + 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]

We know,

[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 + 16} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{25} [/tex]

[tex]\rm \:  =  \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]

Simplify the radical please I need sleep it's 1 am I wake up at 4

Answers

Answer:

[tex]4cba*\sqrt{5bc}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]

[tex]4cba*\sqrt{5bc}[/tex]

Please help I have 15 minutes left for my assessment. Thank you!

Answers

Answer:

57kg

Step-by-step explanation:

We need to find the length of each piece of metal:

We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.

So we have four lengths - 6m, 6m, 8m, and 8m

To find the last length, we need to use pythagoras theory

a² + b² = c² where c is the slanted side, or the diagonal

6² + 8² = c²

36 + 64 = 100

c² = 100

c = √100 = 10

So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m

If:

1m = 1.5kg

38m = ?kg

We have to multiply both sides by 38

1m × 38 = 38m

1.5kg × 38 = 57kg

So, the total weight of metal in the frame is 57kg

A term may be written in index form to?
a) Make calculation easier
b) Represent large numbers
c) Show repeated multiplication
d) All the above​

Answers

Answer:

A.make calculation easier

Can someone help me with this

Answers

-6 + x = -7

+6        +6        add 6 to both sides, 6's cancel out on the left.

________

x = -1, is the answer.

Hope this helps! Let me know if you have any other questions related to this problem. :)

Answer:

x= -1

Step-by-step explanation:

-6+x = -7

x = -7+6

x= -1

1.4×10−5 and 2.8×10−4

Answers

Answer:

Step-by-step explanation:

Step one- is solving the left side of the equation using PEMDAS, 1.4x10 = 14

Step two- 14-5 = 9

Step 3 - 2.8 times 10 = 28

Step 4 - 28- 4 = 24

The answer is 9 and 24

Run it up hb gotchu w them points

Answers

Answer:

C

Step-by-step explanation:

Answer:

This one is C

Step-by-step explanation:

please help me!!!!! ​

Answers

Answer:

The equation is 39=3r-6

Step-by-step explanation:

Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon

Let r = Raul's age

The question gives us what x equals so...

x=39

Now we just turn the sentence into an equation.

"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"

Remove the icky words...

x=3r-6

replace x with what it equals (39)

39=3r-6

Now you can go on to olve it

Overal Raul is only 15 :)

Find the quotient of 902÷27
(It has a remainder)

Answers

Answer:

The quotient of 902 divided by 27 equals 33 and the remainder is 11.

Evaluate the expression (ill give brainiest)

Answers

Answer:

2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

2 ( [tex]\frac{1}{16}[/tex] + ([tex]\frac{1}{4}[/tex] )² ) + 5([tex]\frac{1}{2}[/tex] )

= 2 ( [tex]\frac{1}{16}[/tex] + [tex]\frac{1}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]

= 2 ([tex]\frac{2}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]

= 2 ([tex]\frac{1}{8}[/tex] ) + [tex]\frac{5}{2}[/tex]

= [tex]\frac{1}{4}[/tex] + [tex]\frac{10}{4}[/tex]

= [tex]\frac{11}{4}[/tex]

= 2 [tex]\frac{3}{4}[/tex]

12 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test

Answers

Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.

The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.

In this problem:

12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].

The probability that both failed the test is P(X = 2), thus:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]

0.0455 = 4.55% probability that both light bulbs failed the test.

A similar problem is given at https://brainly.com/question/24826394

8.5 inches to centimeters

Answers

answer: 21.59

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest (if i helped of course) if you get a chance:)

Answer:

21.59cm

Step-by-step explanation:

Multiply 8.5 by 2.54 to convert in. to cm.

Need help asap pls pls pls

Answers

Answer:

why do you want to know

Step-by-step explanation:

hahahahahahahaha

Synthetic Division x^3+9x^2-11x-13

Answers

Answer:

You can't synthetic divide since there's no dividend. As you can't factor it so I figure you must've forgot to include something or there's no solution.

help please !! geometry​

Answers

2 and 5. Because of congruence rule. It tries to confuse u but don’t let it. Also always remember if those lines are there u know there congruent no matter what.

The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.

Answers

Answer:

703,705

Step-by-step explanation:

divide 1408 by 2

add one for one number

subtract one for the other

8/7 divided by 5/2?

Answers

Answer:

16/35

Step-by-step explanation:

(8/7)/(5/2)

8/7 * 2/5

16/35

how do you use subsitution for5x+2y=4

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+2*y-(4)=0

Equation of a Straight Line

1.1     Solve   5x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+2y-4  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2  

Calculate the X-Intercept :

When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000

 x-intercept = 4/5  =  0.80000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -5.000/2.000 = -2.500  

Geometric figure: Straight Line

 Slope = -5.000/2.000 = -2.500

 x-intercept = 4/5 = 0.80000

 y-intercept = 4/2 = 2

There are 2304 students sitting in the auditorium in such a way that each row contains as many students as the number of rows. How many rows are there in the auditorium? ​

Answers

Answer:

48

Step-by-step explanation:

[tex]\sqrt{2304}[/tex] = 48 * 48

To have the same number of rows and students, it shall be each row contains 48 students and 48 rows overall

2304 is a perfect square . So if you know that 48 x 48 is 2304 . Then you would figure out that there are 48 rows with 48 students in each row .
The answer is : 48 rows in the auditorium

what is 3/4 times 8/9?! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2/3

Step-by-step explanation:

= 3/4 * 8/9

= 24/36

simplify by 4

= 6/9

simplify by 3

= 2/3

Answer:

24 /36 or 2/3

Step-by-step explanation:

3 x 8 = 24

4 x 9 = 36

24/36

Simplify the fraction to get 2/3

Therefore, 2/3 would be your answer.

-kiniwih426

Where is the velocity negative?
E
B
A
G

Answers

Hello! The answer is

D-F

The V is negative when the velocity graph goes down. Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

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