What is the length of x in the diagram below?
A triangle with vertical bisector forms 2 triangles with a right angle. One triangle has a side length of 5 and another angle with a measure 45 degrees. Another triangle has a hypotenuse with length x and another angle with measure 30 degrees.
StartFraction 5 Over StartRoot 3 EndRoot
StartFraction 10 Over StartRoot 3 EndRoot EndFraction
5 StartRoot 3 EndRoot
10
Answers
Answer:
That is a 45-45-90 triangle next to a 30-60-90 triangle.
So, the height of the left triangle equals 5.
That makes the short side of the 30-60-90 triangle also equal to 5.
In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.
Therefore, the hypotenuse (or "x") equals 10.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
edge 2020
Related Questions
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answers
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answers
Answer:
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Step-by-step explanation:
Let
x = monthly cost of internet service
Each month they received $5.50 as a credit on the bill.
The Schwartz family spent a total of $111.75 for Internet service for 3 months.
Total cost of internet service for three months = 3(x + 5.550)
111.75 = 3(x + 5.50)
111.75 = 3x + 16.50
111.75 - 16.50 = 3x
95.25 = 3x
x = 95.25 / 3
= 31.75
x = $31.75
Answer:
B
Step-by-step explanation:
i did it on edge2020:)
can someone help me with my math, i am really struggling rn with life and i need help, please dont post random stuff, and i will give brainliest :(
^
https://brainly.com/question/20134003
Answers
Answer:
Step-by-step explanation:
Ummmmmmmmm what do u need help with u got to put down a question
The equation y = 3.5 x − 210 y=3.5x−210 represents the profit made by a manufacturer that sells products for $3.50 each, where y is the profit and x is the number of units sold. what is the profit in dollars when 80 units are sold?
Answers
Answer:
the answer is c
Step-by-step explanation:
took the test
please help!
what’s the value of x?
8
56
12
62
Answers
Answer:
56
the picture below shows one that is parallel to the
which line is 56
GIVING BRAINLIEST ONCE AGAIN
Answers
Answer:
45
Step-by-step explanation:
divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.
Answer:
5:9 = 25:45
Step-by-step explanation:
At which rooi does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
O-5
O-2
O 2
5
Answers
3y-24 useing the greatest common factor.
Answers
Answer:
In 3y-24, 3 is the greatest common factor.
3y-24
=3(y-8)
Answer:
In 3y-24, 3 is the greatest common factor.
3y-24
=3(y-8)
Step-by-step explanation:
Hope this helped have an amazing day!
help please i’ll give brainlest and lots of points
Answers
Answer:
1+1=2 so that's the answer
Flying to Havana with a tailwind a plane averaged 258 km/h. On the return trip the plane only
averaged 218 km/h while flying back into the same wind. Find the speed of the plane in still air
and the speed of the wind.
Answers
can someone please help me with this work
Answers
Evaluate the following functions to determine the range for each given domain.
3. f(x) = 5x + 6 D = {-3,0,5}
4. f(x) = -1 D = {-6,9,21}
please show work
Answers
Answer:
3. f' ( x) = 5
4. d= 69.21
I hope i helped
Reagan found chips for sale at two stores. At Store A, the chips were 6 bags for $4. At store B, the chips were $6 for 4 bags. Reagan said the unit rate was 1:1.5. Which store did she find the unit rate for
PLEASE SOLVE
WILL GIVE BRANLIEST
Answers
Answer:
Store B
Step-by-step explanation:
Please mark brainliest.
What are the coordinates of point A?
Answers
Answer:
the left side should be -5 the other side should be 7
Answer:
(7, -5)
Step-by-step explanation:
PLEASE HELP ME QUICK!!!!!
For proportional percent problems, why do you put a 100 on the bottom of the right proportional ratio (fraction)?
Answers
Answer:
because its out of 100
Step-by-step explanation:
cause it could be something else
A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)
How does the slope of g(x) compare to the slope of
Answers
Answer:
The slope of g(x) is less than the slope of f(x)
Step-by-step explanation:
Find the slopes of both lines with rise/run
f(x): 3/1 = 3
g(x): 2/4 = 1/2
The slope of g(x) is less than the slope of f(x)
Answer:
B
Step-by-step explanation:
Fill in the blank pls
Answers
Step-by-step explanation:
Factors
hope it helpful
hi whats 750 X 2+ 5
also howdy my names venus or fork i go by they/them and if youd like to talk with me for a few minutes before i do an exam im ok with that!
Answers
Answer: 1505
Step-by-step explanation:
Answer:
1505
Step-by-step explanation:
Andrew makes $10 per hour babysitting and $8 per hour working at the grocery store. He will need to make atleast $650 to buy a new computer. Are the variables defined correctly? (True or False) x = Hours babysitting y = Hours working at grocery store
Answers
Answer:
True
Step-by-step explanation:
Since babysitting and working at the grocery store are two different things, you would need two different variables.
So x and y would be the correct representation.
Hope this helps ya!!
How are coordinate planes the same ????
22 points if u can answer
Answers
Answer: Its a trick question
Step-by-step explanation:
I did this yesterday
Answer:
They are the same because they all have an X-axis and a Y-axis
Step-by-step explanation:
sorry if im wrong lol
In the past year, Lizet has spent $7,440 on her rent. What is her unit cost
(dollars per month)?
Answers
Answer:
$620/month
Step-by-step explanation:
$7,440 / 12 = $620
Answer:
620 a month
Step-by-step explanation:
7440÷12monthes=620 per month
I’ll mark you brainlist I’ll mark you brainlist
Answers
Answer:
Would be the approx 17.55 or 12p
Step-by-step explanation:
Mark me brainliest because you promised it and have a splended day ( ^ :
PLEASE HELP WILL GIVE BRAINLIEST AND 40 POINTS
Answers
Answer:
15. x+6+x+9+x+3=2(x+4+x+1)
3x+18=4x+10
x=8
16. 30x=10x+40
x=2
A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?
helpp pls
Answers
Answer:
Number of dimes in the bag = 90
Number of quarters in the bag = 186
Step-by-step explanation:
Let
x = Number of dimes in the bag
y = Number of quarters in the bag
= 2x + 6
Total = 276
276 = x + 2x + 6
276 = 3x + 6
276 - 6 = 3x
270 = 3x
x = 270/3
= 90
x = 90
Number of dimes in the bag = 90
Number of quarters in the bag = 2x + 6
= 2(90) + 6
=180 + 6
= 186
Total = Number of dimes in the bag + Number of quarters
= 90 + 186
= 276
If a 5-foot man casts a 6-foot shadow, how tall is a tree that casts a
24-foot shadow?
Answers
Answer:
28.8 foot shadow
Step-by-step explanation:
to do that, you would have to make proportionate fractions. That would mean that you do 5/6 = 24/x. Then you would just cross multiply to get 5x = 144. Then you would divide to isolate x. That would give you 28.8
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
p(white)=
p(not blue)=
Answers
P(white)=4/20=1/5
P(not blue)=15/20=3/4
Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?
Answers
Answer: 14% refused the offer.
Step-by-step explanation: Divide the number of refusals by the total sent.
35/250 = 0.14 Then multiply by 100 to change from decimal to percent.
The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)
0.14 × 100 = 14. So the answer is 14%
Find m. Leave answer in simplest radical form.
1
30°
Answers
Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
sorry another question!
1. 6,9,12,15,18
common difference:
2. 7,7.5,8,8.5,9
common difference:
3. 10,7,4,1,−2
common difference:
4. 1,1.1,1.2,1.3,1.4
common difference:
Answers
Answer:
you start counting from left to right
when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.
Step-by-step explanation:
for example for 4 :
1. we can choose two numbers next to each other like 1 and 1.1
2. subtract second from first like 1.1 - 1 = 0.1
3. 1.1 + 0.1 = 1.2
1.2 + 0.1 = 1.3
and ...
so the common difference is 0.1
Find the value of x.
Answers
Answer:
I think the value of x is 61 degrees
Answer:
the answer is 65
Step-by-step explanation:
you add 61 and 54 then subtract from 180 you get 65 as your answer