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,
https://brainly.com/question/11897796
#SPJ2
Solve) A = 1/2 h ( a + b ), solve for h
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 (£).
Answer:
£4.52
Step-by-step explanation:
£13.56/3
Please help me if can, tysm
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
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
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
PLZ HELP What is the area of the polygon?
The answer is 42 meters squared
3x(6x + 5)
4x(2x-3y)
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
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.
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
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!
translate the sentence into an inequality.
The product of w and 8 is greater than or equal to -16.
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
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!!
4) (2.03)
What is the equation of the line in
slope-intercept form?
What is the equation of the line in
function notation?
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
Answer:
12
thStep-by-step explanation:
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
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.
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.
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 - $23.99. What was the value of the check that was cashed? Show all work
necessary to justify your answer.
Step-by-step explanation:
mondey balance 104.24$
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.
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
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.
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
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
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
Answer:
uyyyyy
Step-by-step explanation:
Identify the factors of the terms of the expression.
6 + 2a + 15b the factors of the terms are?
Given :
6 + 2a + 15bTo find :-
The factors of the terms of the expression.Solution :-
First term :-
6 Factors = 1 , 2,3,6Second term :-
2a Factors = a , 1 , 2Third term :-
15bb,1,3,5,15May I please receive help?
Please
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.
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
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
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.
Answer:
SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D
help me pleaseeeeeeeee
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: