What is the value of x? Enter your answer in the box. x = . Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 99.2 feet, G D equals 62 feet, D H equals left parenthesis x plus 2 right parenthesis feet, and E H equals 112 feet.
Answer:
The value of x is 68 ft.
Step-by-step explanation:
Given information: [tex]\angle GED\cong \angle DEH[/tex]
Bisector of an angle of a triangle theorem states that an angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.
In triangle FEH, ED is an angle bisector
[tex]\frac{EH}{EG}=\frac{DH}{GD}[/tex]
[tex]\frac{112}{99.2}\times 62=x+2[/tex]
[tex]70=x+2[/tex]
[tex]70-2=x[/tex]
[tex]68=x[/tex]
Therefore the value of x is 68 ft.
Perform the indicated operation.
(w 3 + 64) ÷ (4 + w)
w² - 4w - 16
w² + 4w - 16
w² - 4w + 16
THE ANSWER IS:
w^2 - 4w + 16
The reason I included the correct answer in the question is that this question was not yet asked and I felt that some people might need to know this. Feel free to answer the question and get the points! :)
w^2 - 4w + 16
tytytytytyty
Will mark brainiest
My teacher says everything is there to answer this question but I don't know. Someone please explain.
Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.
How far do they walk and at what time do they reach the top of the hill?
how do you solve FOIL problems for algebra 1
WILL GIVE BRAINLIEST!!! 12 POINTS!!!!!!
The table below represents the height of a shot basketball, f(x), based on its horizontal position in relation to the basket, x.
x f(x)
-24 7
-20 12
-16 15
-12 16
-8 15
-4 12
0 7
If all quantities are in feet, what is the height of the basketball as it passes the hoop?
Answer: _____ feet
What value of x is in the solution set of –2(3x + 2) > –8x + 6?
Answer:
The answer is 6
Step-by-step explanation:
I just took the test
A woman walks 100 yards east along a straight shoreline and then swims 30 yards south into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position polar coordinates. Round the coordinates to the nearest hundredth. Express θ in degrees. (11.40, –88.28°) (104.40, –88.28°) (11.40, –16.70°) (104.40, –16.70°)
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A rectangle has a a perimeter of 72 ft. The length and width are scaled by a factor 3.5.
What is the perimeter of the resulting rectangle?
Enter your answer in the box.
A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in. The prism is filled with cubes that have edge lengths of 1/4 in. How many cubes are needed to fill the rectangular prism?
Find the volume of the cylinder if the diameter is 6 inches and the height is three times the radius. Round your answer to the nearest hundredth.
The equation for volume is V = pi*r^2*h
I got 169.73
The sum of the square of a positive number and the square of 3 more than the number is 45. what is the number?
The positive integer is [tex]3[/tex]
Let the number be [tex]a[/tex]
square of [tex]a = a^{2}[/tex]
Square of [tex]3[/tex] more than [tex]a[/tex] = [tex](3+a)^{2}[/tex]
[tex](3 + a)^{2} = (3+a)(3+a) = 9 + 3a + 3a + a^{2} = a^{2} + 6a + 9[/tex]
[tex]a^{2} + a^{2} + 9a + 9 = 45[/tex]
[tex]2a^{2} + 6a + 9 = 45[/tex]
Subtract 9 from both sides :
[tex]2a^{2} + 6a = 45 - 9[/tex]
[tex]2a^{2} + 6a = 36[/tex]
Divide through by 2
[tex]a^{2} + 3a = 18\\a^{2} + 3a - 18 = 0[/tex]
Factorize :
[tex]a^{2} + 6a - 3a - 18 = 0\\a(a + 6) - 3(a + 6) = 0\\a + 6 = 0\\or\\a - 3 = 0[/tex]
[tex]a = 3 ;\\or\\a = - 6[/tex]
since, a is a positive integer, then [tex]a = 3[/tex]
Learn more : https://brainly.com/question/18796573
Learn more : https://brainly.com/question/18796573
Is this statement true or false? If tan 45° = 1, then tan-1 1 = 90°.
banananana help me i need you
Answer:
Banananana. How do you know that person?
Step-by-step explanation:
PLS PLS PLS help I am rly confused
Need help with this too, all connected
Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000 and use at least 320 workers to build cars and motorbikes.
8000C+5500M≤75000 represents the number of cars C and motorbikes M the company can build by spending at most $75000.
52C+38M≥320 represents the number of cars and motorbikes the company can build by using at least 320 workers.
Can the company meet both of its expectations by building 4 cars and 6 motorbikes?
helppppppppppppppppppppppppppppppppp
What Is 7 minutes after 1? And what is 23 minutes after 4?
Answer: 7 minutes after 1 is 1:07 and 23 minutes after 4 is 4:23
Step-by-step explanation: Please mark me brainliest ✨
Good luck on whatever you’re working on!
Help please got to finish khan academy I’m really confused
Which measure describes how all of the values of a data set vary with a single number?
A) mean
B) median
C) mode
D) range
Answer:
The answer is d. range.
Compare the domains of the logarithmic function f(x) and the square root function g(x).
Graph of f(x):
https://homelifetn.ignitiaschools.com/media/g_alg02_ccss_2016/9/al2_9_20a_media02.gif
https://homelifetn.ignitiaschools.com/media/g_alg02_ccss_2016/9/img_alg02u09c03q25d_02.gif
In two or more complete sentences, explain whether or not the domains of the two functions are the same.
Write -3r+3u in polar form PLEASE HELP
Simplify Expression-
11. (n^4)^8
13. (q^10)^10
15. (x^3)^-5
17. (z^8)^0z^5
19. (c^3)^5(d^3)^0
@Phebe
Last one i promise lol
Jackson currently has $35 in his bank account , he is saving $15 a week to eventually buy a new cell phone. He can represent the amount in his account with the equation y=15x+35.
I also need help answer the other questions to
Answer:
1. We have our function y = 15x + 35
a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.
b) Where the y represents the total money he has, which is the dependent variable.
c) the slope is 15, as x increments, the slope goes up by 15.
d) The y-intercept is 35, because when x = 0, y = 35.
2. To create the table you have to find the value of y, knowing the values of x.
Using our function, when x = 0
y = 15(0) + 35
y = 0 + 35
y = 35
Using our function, when x = 1
y = 15(1) + 35
y = 15 + 35
y = 50
Using our function, when x = 2
y = 15(2) + 35
y = 30 + 35
y = 65
Using our function, when x = 3
y = 15(3) + 35
y = 45 + 35
y = 80
Using our function, when x = 4
y = 15(4) + 35
y = 60 + 35
y = 95
Using our function, when x = 5
y = 15(5) + 35
y = 75 + 35
y = 110
Yes, the table is proportional, because for each week, the value of his money is increasing by 15.
3. To create the graph, you can put the values of the table into the graph
And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.
In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,
after a week: $50,
after two weeks: $65,
So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.
:)If Dani has 5,054 of a certain item and she needs to collect 6,000 of it, how much more does she need to reach her goal? :) Just for fun lol
Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6.0 x 101 (2.775 x 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3
Answer:
The answer is A and D,I did this on usatestprep
Step-by-step explanation:
A scientist obtains the number 1250.37986 on a calculator. if this number has four (4) significant figures, how should it be written?
Answer:
number obtained by the scientist in the calculator is 1250.37986 which is to be written in 4 significant figure.
As we can see the number has 9 significant figure to convert it into 4 significant figure
5th digit is less than 5 hence the number will be not be increased by 1 it remains same as 1250 which has 4 significant figure.
Now in scientific notation
the number will be 1.250 × 10³
hence, the number 1.250 × 10³ has four significant figure
Factor completely. a2+3a−28 Enter your answer in the box.
Which is a possible number of distinct real roots for a cubic function? Select all that apply.
0
1
2
3
4
Answer: The answer is 1 and 3.
Step-by-step explanation: We are to select the correct options about the number of real roots of a cubic function.
We know that there are three roots of a cubic function, out of which one must be real because the least number of real roots of an odd degree function is 1.
Also, if the second root is real, then the third one must also be real because the complex roots of a function occur in pairs.
Therefore, there is one real root or three real roots for a cubic function.
Thus, the answer is 1 and 3.