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,

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Related Questions

Solve) A = 1/2 h ( a + b ), solve for h

Answers

Step-by-step explanation:

A=½h(a+b)

h(a+b)=2A

h=2A/(a+b).

hope this helps you.

Christopher buys 3 pizzas for £13.56. If all of the pizzas are the same price, how much does one pizza cost? Give your answer in pounds (£).​

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Answer:

£4.52

Step-by-step explanation:

£13.56/3

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Square root of 4096 is 6.4 so the answer is 64 + 6.4 = 70.4.

Answer:

70.4

Step-by-step explanation:

the aquare root of 40.96 is 6.4

so,64+6.4=70.4

help whats
2 x 3 + 4 -6r2
PLEASE ANSWER FAST

Answers

Answer:

-6r^2 + 10

Step-by-step explanation:

2 × 3 + 4 - 6r^2

= 6 + 4 - 6r^2

= -6r^2 + 10

Answer:

- 6r² + 10

Step-by-step explanation:

```````````````````````````

2 × 3 + 4 - 6r²

→ 6 + 4 - 6r²

→ 10 - 6r²

→ - 6r² + 10

```````````````````````````

SCALENE


EQUILATERAL


ISOSCELES

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

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Answers

The answer is 42 meters squared

3x(6x + 5)
4x(2x-3y)

Answers

Step-by-step explanation:

1) 3x(6x+5)

= 18x+15x

= 33x Answer

2) 4x(2x-3y)

= 8x-12xy Answer

Cannot be solved because it has unlike terms

Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay

Answers

Answer:

24% of (254.75 US$) =

61.14 US$

Step-by-step explanation:

Answer:

61.14$.

Step-by-step explanation:

24% = 0.24.

254.75 * 0.24

= 61.14$.

Write 1.6 as a percentage.​

Answers

To right 1.6 as a percentage u would write 6

the answer is 160% because 1.6×100=160%

ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?

A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm

Lemme know, take ur timeee

Answers

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

10 because they are congruent

translate the sentence into an inequality.
The product of w and 8 is greater than or equal to -16.

Answers

The inequality would be 8w≥-16

Answer:

8w ≥ -16

It's pretty simple.

Product means it has something to do with multiplication.

≥ This is the greater than or equal to sign.

PLS HELP WILL MARK BRAINLIEST
Represent the following algebraically

Answers

Answer:

width = (21 - 2n) ÷ 2 or 21/2 - n

Step-by-step explanation:

To find Width

let's say width is x

so 2x + 2n = 21

take away 2n from both sides

then 2x = 21 - 2n

Divide both sides by 2 to get x on its own

x = 21 - 2n /2

therefore the width of the rectangle is 21 - 2n /2

PLEASE HELP!!
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What is the equation of the line in
slope-intercept form?

What is the equation of the line in
function notation?

Answers

Answer:

y = (1/2)x - 2

Step-by-step explanation:

(0,-2)

(4,0)

2/4 x - 2

Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend

Answers

Answer:

12

thStep-by-step explanation:


Peter had 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend?

Explanation: you divide 18 into 3 groups and you can split it into groups of 6. Peter gave his friend 2/3 which equals 12/18 cookies

Answer: Peter gave his friend 12 cookies



Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?

m = 72 – 15d
m = 90 – 6d
m = 101 – 21d
m = 108 – 3d

Answers

Answer:

m = -90 - 6d

Step-by-step explanation:

18 ÷ 3 = 6 { She needs to memorize six measures a day. }

m = 90 - 6d { She has memorized bd measures }

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

the function over the interval 3 x < 7.

Answers

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

Please help!

Suppose that the cross section of a piece of pipe looks like the diagram shown. Find the total outer diameter.

Answers

Answer:

-8

Step-by-step explanation:

1. Josiah's checking account was at $104,24 on Monday. One of his checks was cashed on Tuesday and his
account went down to - $23.99. What was the value of the check that was cashed? Show all work
necessary to justify your answer.

Answers

Step-by-step explanation:

mondey balance 104.24$

Tuesday balancs -23.99$

value = 104.24+23.99=128.23$

A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters. Two two-centimeter holes are drilled in the plate, positioned as shown in the figure. Find the coordinates of the center of each hole.

Answers

top hole

x = 38 cos 60

y = 38 sin 60

bottom hole

x = 38 cos 30

y = 38 sin 30

The coordinate of holes is (43.3, 25) and (25, 43.3).

Circle

It is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.

Two 2 centimeter holes are drilled in the plate.

To find

Two 2 centimeter holes are drilled in the plate, positioned.

How to find the position of holes?

Holes are at 50 cm from the center at an angle of 30 and 60 degrees.

So the coordinate will be given by

[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]

Then for the first hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]

For the second hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]

Thus the coordinate of holes is (43.3, 25) and (25, 43.3).

More about the circle link is given below.

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Gary had a 40% discount for car speakers. The sale price of the speakers was $96.25. What was the original price of the speakers? Round to the nearest cent.

Answers

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

what is the answer to 8x−13=59

Answers

Answer: x=9

Explanation:

8x-13=59

8x-13+(13)=59+(13)

simplify add the numbers

8x=72

Divide both sides of the equation by the same term

8x=72

8x/8=72/8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=9


SOMEONE PLEASE HELP ME i really need this one

Answers

Answer:

Wait are u trying to find the area of a shape???

Step-by-step explanation:

A home loan of £240 000 was paid off at £1 675
per month for 20 years. How much interest was
paid?
HELP PLEASE

Answers

Answer:

uyyyyy

Step-by-step explanation:

Identify the factors of the terms of the expression.

6 + 2a + 15b the factors of the terms are?

Answers

Given :

6 + 2a + 15b

To find :-

The factors of the terms of the expression.

Solution :-

First term :-

6 Factors = 1 , 2,3,6

Second term :-

2a Factors = a , 1 , 2

Third term :-

15bb,1,3,5,15

May I please receive help?
Please

Answers

Answer:

A) F=25°

B) AB=12

‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌‌

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

5. Explain what the solution means in the context of the word problem.

Answers

Answer:

C is the inequality

Hope it's help :D

Step-by-step explanation:

For question

4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

this problem is difficult and i dont want homework

Answers

Answer:

The area is 49/12 or 4 1/12

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × base × height

a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)

a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)

a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)

You can convert it back to a mixed number:

49/12 = 4 1/12

Hope this helps!

what is the lcm of 9 and 12

Answers

Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81...

12: 12, 24, 36, 48, 60, 72, 84...

Do you see what I see? The LCM is 36. Hope this helps!

~Just an emotional teen who listens to her favorite songs

[tex]SilentNature[/tex]

Lee has 14 strawberry scones and 21 Raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of Strawberry scones and an equal number of Raspberry scones. What is the greatest number of bags Lee can​ fill? Explain how you know.

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SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D

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Answer:

Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence

Thank me Later :D

Step-by-step explanation:

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