Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.
Answers
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]
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
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.
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).
CircleIt 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 findTwo 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.
https://brainly.com/question/11833983
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$.
Step-by-step explanation:
24% = 0.24.
254.75 * 0.24
= 61.14$.
Please help!
Suppose that the cross section of a piece of pipe looks like the diagram shown. Find the total outer diameter.
Answers
Answer:
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Step-by-step explanation:
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
Identify the factors of the terms of the expression.
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Answers
Given :
6 + 2a + 15bTo find :-
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First term :-
6 Factors = 1 , 2,3,6Second term :-
2a Factors = a , 1 , 2Third term :-
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Step-by-step explanation:
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Answers
Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.
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12: 12, 24, 36, 48, 60, 72, 84...
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[tex]SilentNature[/tex]
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What is the equation of the line in
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Answer:
y = (1/2)x - 2
Step-by-step explanation:
(0,-2)
(4,0)
2/4 x - 2
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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
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Please
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Answer:
A) F=25°
B) AB=12
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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
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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?
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Answer: Peter gave his friend 12 cookies
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.
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5. Explain what the solution means in the context of the word problem.
Answers
Answer:
C is the inequality
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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.
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Answer:
Wait are u trying to find the area of a shape???
Step-by-step explanation:
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Answers
Answer:
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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)
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You can convert it back to a mixed number:
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Answer:
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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?
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m = 101 – 21d
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Answers
Answer:
m = -90 - 6d
Step-by-step explanation:
18 ÷ 3 = 6 { She needs to memorize six measures a day. }
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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
```````````````````````````
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
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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.
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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 (£).
Answers
Answer:
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Step-by-step explanation:
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Solve) A = 1/2 h ( a + b ), solve for h
Answers
Step-by-step explanation:
A=½h(a+b)
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Answer:
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the aquare root of 40.96 is 6.4
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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:
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
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).
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