Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.

Answers

Answer 1

Answer:

[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]

m<DGI = 80°

[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]

Ray GI Bisects DGH So That MDGI Is 3x-9 And MIGH Is 2x + 21. Find The M&lt; DGI.
Answer 2

The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The ray GI bisects ∠DGH.

It implies that the new angles are equal in measurement.

⇒ m∠DGI = m∠IGH

⇒ 3x - 9 = 2x + 21

⇒ x = 30

Then, in order to calculate m∠DGI, plug x = 30 in  3x - 9 as,

3 × 30 - 9 = 81

Hence, the measure of angle ∠DGI is given as 81°.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2


Related Questions

Express 0.1345345... using bar notation​

Answers

Answer:

0.1345

Step-by-step explanation:

The bolded numbers are what is barred

345 is constantly repeated so that is what would be barred as that repeats for ever

Answer:

3/1345

Step-by-step explanation:

Simplify the numerical expression:

(0.05)(-0.25)

A) -0.0125
B) 0.0125
C) -1.25
D) 1.25

Answers

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)

Solve each division problem, and classify it based on its quotient.

Answers

Answer:we are not your servers to that i should solve this problems

Step-by-step explanation:

Answer:

I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1

Step-by-step explanation:

I need help please!!!

Answers

Answer:

Step-by-step explanation:

1. p║ q

50+130 = 180

If the same side interior angles are supplementary angles then the lines are parallel.

2. p║ q

70 = 70

If the corresponding angles are congruent the lines are parallels.

4. p║ q

x = x

If alternating exterior angles are congruent then the lines are parallel.

5. we do not know if p is parallel with q

We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.

7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.

3x= 45 , divide both sides by 3

x= 15

For x = 15 the p║ q

8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.

2x+10 = 120, subtract 10 from both sides

2x = 110, divide both sides by 2

x = 55

For x = 55 the p║ q

Any help please? Don’t understand

Answers

It’s a hewhedggdhhe e e e fr w d g r e s d es. S d d

sas, sss, aas, or not enough information

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given triangles are congruent by :

ASA criterion

because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.

Write an equation in point-slope form for the line.

Answers

Hello there!

y-y1=m(x-x1)

y-3=4(x-1)

And that's our equation in point-slope form. Hope it helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

what is this frfr??????????????????

Answers

Answer:

7

Step-by-step explanation:

7x-6=43

    +6  +6

7x=49

/7   /7

x=7

Answer: x=7

is the answer

limθ→π/4 (cosθ−sinθ​)/(θ– π/4)​

Answers

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

[tex]\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}[/tex]

what is 4 divided by 2 3/4. for 6th grade math

Answers

Answer:

3 1/3

Step-by-step explanation:

4/(2 3/4)

4/(6/4)

4÷6/4

4*4/6

20/6

3 2/6 =3 1/3

Please help me solve this ASAP please !

Answers

This is a Reflection :) Have a great day !

Reflection because it is the same just flipped over the line, and all the points are the same.

by factoring out the GCF what is 12r-4?

Answers

Answer:

4(3r-1)

Step-by-step explanation:

GCF is the highest number that divides exactly into two or more numbers. In this case, it would be 4 because it's the largest number that both 12 and 4 divide into.

if a/b= (3/7)2 ÷ (9/7)0, then find the value of (b/a)2?
pls answer fast​

Answers

[tex]\\ \sf\longmapsto (3/7)2\div (9/7)0[/tex]

Anything multiplied with 0 gives 0

[tex]\\ \sf\longmapsto (3/7)2\div 0[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{b}{a}=\dfrac{1}{\infty}=0[/tex]

[tex]\\ \sf\longmapsto (\dfrac{b}{a})^2=0^2=0[/tex]

5/11 as a decimal 4 decimal places

Answers

Answer:

0.4545

Step-by-step explanation:

Just. divide 5 by 11. You're supposed to be in highschool, mate. Just use a calculator.

how to use intersection in the real world.​

Answers

crossroads or maybe where scissors meet eachother at the middle point you could do either

If two acute angles of a right angled triangle are in the ratio 1:2, Find them.​

Answers

Answer:

30°,60°,90°

Step-by-step explanation:

Let :-

Ratio = 1x : 2x

As we know :-

Sum of all angles = 180°

So that ,

x + 2x + 90 = 180 3x = 90 x = 90/3 x = 30

Angles ,

90° x = 30° 2x = 60°

Answer:

Let the angles be x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

x+2x+90 = 1803x+90 = 1803x = 180-90x = 90/3x = 30

Angles,

90°x = 30°2x = 2×30 = 60°

Find the 9th term of the geometric sequence 9, -27, 81, ...

Answers

Answer:

59049

Step-by-step explanation:

nine times negative 3 8 times

Answer:

a₉ = 59049

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 9 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-27}{9}[/tex] = - 3 , then

a₉ = 9 × [tex](-3)^{8}[/tex] = 9 × 6561 = 59049

multiply
4/7 x 4 3/8 x 5/6

Answers

Look it up on quizzes

Answer:

all of them together or eahc seperate

Step-by-step explanation:

What is 43.982 rounded to the nearest hundredth

Answers

Answer:

The answer is 42.98

Step-by-step explanation:

you can search up rounding charts online and that would help you a lot! After the decimal, it goes by tens, hundreds, thousand, and so on.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The johnsons's back yard is 3/8 of am arce.They planted a vegtable garden on 1/3 of the yard.How big is the garden?



Pls help;

Answers

Answer:

1/8 of an acre

Step-by-step explanation:

What is the value of x?
x= 21
x = 28
x= 35
x= 37

Answers

x= 37

you would always start off by 3x+4=15

Fill in the [?]:
11,562 um = [?]m
Give your answer in standard form.
Enter

Answers

Divide the number by 1,000,000 (1 million).

Micrometer is a millionth of a meter

11,562/1,000,000 = 0.011562

help a friend out?

Solve and graph the absolute value inequality: 12x +41 > 8.​

Answers

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

HELP ME PLEASE IM CRYING

Answers

When setting compensation, it is generally better to use the median as opposed to the mean for a simple reason: the mean or average is very sensitive to outliers (abnormally low or high values), while the median is much less affected by outliers.

Given the following function, find f(-2), f(0), and f(1).
f(x) = x2 + 3
=

Answers

Answer:

jjjjnnuiuhjiihhiihb

Step-by-step explanation:

tyuijiojnoo.

yu8ijhiihj

The answer to f(-2) is -1. F(0) is 3. F(1) is 5.

which aglae has a lager mass at 3 hours in kilograms

Answers

Answer:

A) The blue algae has 12 kg more mass at 3 hours.

B) The green algae has 12 kg more mass at 3 hours.

C) The blue algae has 36 kg more mass at 3 hours.

D) The green algae has 36 kg more mass at 3 hours

just do b d f h and j​

Answers

Answer:

b) 1.383

d) 2733

f) 41.429

h) 6317

j) 87.889

Step-by-step explanation:

State if the triangle are similar amd if they are, give the reasons AA SSS SAS

Answers

which triangles?

i see no triangles

try again bro

How do I find the variables here? ;-;

Answers

Answer:

y = 116

w = 116

x = 4

Step-by-step explanation:

a // b  and t is transversal.

y + 64 = 180   {co-interior angles are supplementary}

y = 180- 64

y = 116

w = y     {Alternate interior angles are equal}

w = 116

4x² = 64      {Alternate interior angles are equal}

x² = 64/4

x² = 16

x² = 4²

x = √(4*4)

x = 4

how can I Simplify 4p³ × 3p⁷​

Answers

[tex] = 12 {p}^{10} [/tex]

hope it helps

#carry on learning

Other Questions
There are 4 times as many dogs as cats if the total number of dogs and cats is 20 how many dogs are there what are 3 facts about the documentary the big little farm 201 3. Diary entry You have recently come back from a Grade 8 camp. Write a diary entry about your experiences on the camp [20] Claire ate dinner at her favorite restaurant. When she received her bill, she wanted toleave a 15% tip. What is the correct amount for Claire to tip, if the bill was $9.00? What are the main purposes of a travelogue? Select three options. how many sulfide ions are in 15 dg of sodium sulfide? What did the Quartering Act state?A The colonists must give a quarter of their money to pay for British soldiers.B British forts would be built in American towns.C The colonists must provide living quarters for British soldiers.D British soldiers would be allowed to build homes in America. why did lil uzi vert get a diamond in his head PLEASE HELP ITS MATH THANK YOUUUU HURRY At this point, 6 carbon dioxide molecules havebeen released (2 from the link reaction and 4from the Krebs cycle). Why does this makesense?Glucose has combined with oxygen to make carbon dioxide.Glucose has 6 carbons and has been completely broken down by this stage.The 6 carbon dioxides are reactants that will be used to make ATP.These 6 carbon dioxides are converted to oxygen by respiration.All of these. Plants absorb carbon during which process?A. TranspirationB. Absorptive SynthesisC. RespirationD. Photosynthesis ano uri ng pagkain ang maaaring ibigay para sa manok na nagsisimulang mangitloga. starting mashb. growing mashc.laying mashd.finisher mash simplify the problem 4 . 3 + 1 . 6 + 8 . 4 0 . 9 !!!please help!!!! I * the correct ones 1. Which of the following religions seeks enlightenment through reincarnation? (1 point)BuddhismO Hinduism***Shinto2. Which of the following religions is practiced mainly in China and surrounding countries? (1 point)Buddhism***HinduismShinto3. Which of the following religions does NOT have a core group of sacred scriptures? (1 point)O BuddhismHinduismShinto*** (Please help!) Which table shows a function that is decreasing only over the interval (1, )? Is that statement true or false?One adaptation of bioluminescent fish is that they may have lures that can produce light to help them hide from predators A. trueB. falsePlease Help!!! The graph of y=3x+2x-2^2 is shown. A) what are the coordinates Will mark BRAINELIST please answer both!! An instructor gives a demonstration in which he makes a standing wave on a long thin slinky. The slinky is 6.0 meters long. If you see 3 loops on the slinky when the instructor shakes the end of the slinky at a rate of 2.50 cycles per second, then the speed (in m/s) of transverse traveling waves on the slinky is For which two reasons does Sully continually repeat the word skylight? From rouge waves