Answers
Answer:
x = 15
∠H = 82
∠I = 49
∠G = 49
Step-by-step explanation:
Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )
Angles in a triangle add up to equal 180°
Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )
We now solve for x
3x + 37 + 2 ( 4x - 11 ) = 180
step 1 distribute the 2 to the 4x and -11
2 + 4x = 8x
-11 * 2 = -22
we now have 3x + 37 + 8x -22 = 180
step 2 combine like temrs
3x + 8x = 11x
37 - 22 = 15
we now have 11x + 15 = 180
step 3 subtract 15 from each side
15 - 15 cancels out
180 - 15 = 165
we now have 11x = 165
step 4 divide each side by 11
11x / 11 = x
165 / 11 = 15
we're left with x = 15
Our final step is to find the measures of ∠G, ∠H and ∠I
We can do this by simply replacing x with 15 in their given expression
∠H = 3x + 37
* substitute 15 with x *
3 ( 15 ) + 37
3 * 15 = 45
45 + 37 = 82
Hence, ∠H = 82
∠I = 4x - 11
* substitute x with 15 *
4(15) - 11
4 * 15 = 60
60 - 11 = 49
Hence, ∠I = 49
Like stated previously ∠G and ∠I are congruent
Hence, ∠G = 49
Answer:
∠H = 82
∠I = 49
∠G = 49
Step-by-step explanation:
Related Questions
Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.
Part A
Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.
Enter your equation in the box.
Answers
Answer: 60=5(7+x)
X= 5
Step-by-step explanation:
60 is the total amount of songs so it’s going to be divided into 5 different playlists. And those playlists are going to have 7 older songs plus the amount of new songs.
Which summation formula represents the series below?
13 + 9 + 5 + 1
Answers
Zzzzz
∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.
What is Series?A series is the cumulative sum of a given sequence of terms.
The given expression is 13 + 9 + 5 + 1
The terms of this series are 13,9,5,1
It is an AP. Here, first term is 13 and common ratio is -4.
The nth term of an AP is
aₙ=a+(n-1)d
=13+(n-1)(-4)
=13-4n+4
=17-4n
The summation formula of an Arithmetic progression is
∑aₙ
The value of n is 4 because the number of term is 4. So, the summation formula is
∑(17-4n)
Hence ∑(17-4n) is the summation formula represents the series
13 + 9 + 5 + 1.
To learn more on series click:
https://brainly.com/question/15415793
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y = x^2 - 4x + 4
Find the discriminant.
Determine the number
of real solutions.
Answers
Answer:
The discriminant is 0
There is 1 real solution
Step-by-step explanation:
Use the discriminant formula, D = b² - 4ac
In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.
Plug in these values into the formula:
D = b² - 4ac
D = (-4)² - 4(1)(4)
D = 16 - 4(4)
D = 16 - 16
D = 0
So, the discriminant is 0.
With a discriminant of zero, there is one real solution.
So, the number of real solutions is 1.
Special right triangles
Answers
Answer:
6sqrt(3)
Step-by-step explanation:
Using pythagoras theorem
Which shows the use of a credit card
A. Ryan entered his PIN to complete a transaction.
B. Ryan overdrew his checking account.
C. Ryan bought groceries and paid for them at the end of the month.
D. After making a purchase, Ryan recorded the information in his check register.
Answers
A snack food company is increasing it's product size by 20%. If the original container held 10 ounces of product, how many ounces will the new container hold?
PLEASE EXPLAIN HOW TO DO IT
Answers
Answer:
12 (step by step is below)
Step-by-step explanation:
20% can be rerwitten as 1/5 or .20
since yous container holds 10 ounces you multiply by 1.20 (1 + amount of change) 10 x 1.2 = 12
- Gage Millar, Algebra 2 Tutor
please help! picture attached
Answers
Answer:
you on iready?
Step-by-step explanation:
Answer:
Can you reattac the picture because I can’t see it then I will be able to help u
Step-by-step explanation:
9:14=a:7
Find a pls help me
Answers
We can set up the following proportion:
9/23=a/7.
Now, we just solve for a by the Cross Product Property.
9(7)=23(a)
Now, just divide by 23 on both sides to isolate “a.”
63/23=23a/23
After simplifying, a=2.739.
Therefore, 9/23=2.739/7
When reduced into decimal form, .391=.391, so we know the proportion is indeed correct.
Please help!!!!!!!!!!ASAP!!!
In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC
Answers
Answer:
Its D!
Step-by-step explanation:
all you have to do for the triangles to be simialr is they have to add up to the same number.
In triangle abc ma=70 and mb=35 add those gives you 105
and in triangle mnp and M<N =70 which also gives you 105
since u get the same answer their similar!
Hope this helps!
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approximately how many square feet of wall will the circle cover? Use 3.14 for π and round to the nearest hundredth. How much area will he cover if he painted a circle on three walls?
Answers
Answer:
a) 50.24 ft²
b) 150.72 ft²
Step-by-step explanation:
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.
The distance across a circle is also called a diameter, Hence,
D = Diameter = 8 ft
The Area of a circle = πr²
r = Diameter/2 = 8ft/2 = 4ft
π = 3.14
Hence,
The Area of the circle = π × (4 ft)²
= 50.24 ft²
a) Approximately the amount of wall the circle will cover is 50.24 ft².
b) How much area will he cover if he painted a circle on three walls?
This is calculated as:
1 wall = 50.24 ft²
3 walls = x
Cross Multiply
x = 3 × 50.24 ft²
x = 150.72 ft²
1. Find 2 arithmetic means between 12 and 21.
Answers
What is the total surface area of the pyramid?
Answers
Answer:
16.64911
Step-by-step explanation:
Answer:
area of the regular pyramid is =T.S.A=12pl+B is the formula for this question
A circle has a diameter of 8 meters. What is the circumference? Use 3.14 for Pi. Show your work.
Answers
Answer: 50.27 m
Step-by-step explanation:
[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]
Hope this helped! ;)
The circumferance of the given circle is C = 8π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a constant distance from a given point called the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.The general form of the equation of a circle is:x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is -(x - x₁)² + (y - y₁)² = r²
The parametric equation of circle can be written as -x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y = - k + rsinθ.
Given is a circle that has a diameter of 8 meters.
We can write the circumferance of the circle as -
C = 2πr
C = 2π (d/2)
C = 2π (8/2)
C = 8π
Therefore, the circumferance of the given circle is C = 8π.
To solve more questions on circle, visit the link below -
https://brainly.com/question/28642423
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PT= 4x+6 and TQ=9x-9 find the values of x and PT . Please help me I’m stuck
Answers
PT=18
Steps:
4x+6=9x-9
Add 9 to 6 and subtract 4x from 9x
15=5x
3=x
Plug 3 into equation
12+6=18
Select the correct answer.
What is the measure of the indicated central angle ?
A.
40°
B.
80°
C.
60°
D.
20°
E.
None of the above
Answers
Answer:
the answer is E. none of the above
Which of the following statements describe the path of the baseball? Select all that apply
Answers
Answer:
Did you find It because I need it so can you reply please
Step-by-step explanation:
On Saturday, a gymnast walked a distance of x miles. On Sunday, the gymnast walked half the distance that he walked on Saturday. Which expression represents the total number of miles the gymnast walked on Saturday and Sunday?
Answers
Answer: See explanation
Step-by-step explanation:
From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday.
Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:
= x + (½ × x)
= x + ½x
= 1½x or 1.5x
The length of a rectangular map is 37,5 cm and the perimeter is 125 cm. Find the width
Answers
Let the length of the map be L Cm.
Hence, L = 37.5 Cm
Now, Let the width of the map be B.( Breadth )
Now, we know that perimeter of a rectangle
= 2 ( L + B )
According to the question–
125 = 2 ( L + B )
{ Putting the value of L we get }
Or, 125 = 2 ( 37.5 + B )
Or, 125/2 = 37.5 + B
Or, 62.5 = 37.5 + B
Or, 37.5 + B = 62.5
Or, B = 62.5 – 37.5
Or, B = 25 Cm
Therefore, the Width of the rectangle is 25 Cm.
how can you find the area of a polygon that is not one which you know an area formula.
Answers
Answer:
You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.
Its pretty simple once you understand it
dont be afraid to ask me if you need some help.
Have a wonderfull day
Shelby asked 15 friends to name their favorite ice-cream flavor.
If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?
Answers
Answer:2/5
Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5
D o I p l a y M i n e c r a f t o r, F o r t n i t e?
Answers
Answer:
mine craft
Step-by-step explanation:
I will mark you brainlist!
Answers
It will land on an even number 18 times.
PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM
Answers
Answer:
-3x is the answer
Step-by-step explanation:
Answer:
-3x
Hopefully this helps lol
PLEASE HELO PRE CALC PEOPLE
Use these parametric equations to answer the question below.
x=t-2
y=t^2
The order pair associated with t-value of -1 is?
Answers
Answer:
The ordered pair associated with a t-value of -1 is (-3, 1).
Step-by-step explanation:
Substitute the t-value, or -1, into both of the equations to find the pairs.
x = t - 2
x = (-1) - 2
x = -3
y = t^2
y = (-1)^2
y = 1
The ordered pair associated with a t-value of -1 is (-3, 1).
A package if sugar cubes has a length of 7 cm a height 3 cm and a with of 12 cm what is the volume of the pagage
Answers
Answer:
252 cm^3
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula:
V = lwh
We can substitute in the values to get:
V = 7 x 12 x 3
V = 252 cm^3
What is the solution to 2 x minus 8 less-than 12?
Answers
Answer:
X less than 10
Step-by-step explanation:
The problem is set up 2x - 8 < 12
So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10
Answer:
x< or = 9
Step-by-step explanation:
if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.
2(10)-8=12 but
2(9)-8=10
I really hope this helps, i am sorry if i misunderstood the question....
please I NEED HELP thank u, if u want to spam my answer then I will report u thank u.
Answers
b- 1350
c- 553
Find the measure of
Answers
Answer:
v=y=28°,w=x=152°( both are vertically opposite angles)
Please help me quick please solve in inequality form
Answers
Answer:
D. The sum of twice number and six is no more than five.
Step-by-step explanation:
In the inequality,
[tex]2n+6\leq 5[/tex]
The number (n) is multiplied by (2), therefore options (A) and (B) can be ruled out since they have the statement, "twice the sum of a number and six". Moreover, one can see the inequality sign indicates that this value is less than or equal to (5). Thus, one of the possible solutions to this equation is (5), therefore, option (C) is incorrect. Therefore, the only remaining correction option is option (D).
please answer to the best of your ability
Answers
Answer:
C:reflection accross the x axis
Step-by-step explanation: