Because of the vertical angles and alternate interior angles we know these are similar triangles. Use what you know about proportional sides to solve for the unknown side ,x
Answers
Answer:
x = 20
Step-by-step explanation:
Length 6 corresponds to length 15
Length 8 corresponds to length x
15 ÷ 6 = 2.5
8 • 2.5 = 20
x = 20
2.5 is the scale factor of the small triangle to the big triangle.
Related Questions
The Lake Placid Town Council decided to build a new community center to be used for conventions, concerts, and other public events, but considerable controversy surrounds the appropriate size. To provide structure for the decision process, the council narrowed the building alternatives to three sizes: small, medium, and large. Everybody agreed that the critical factor in choosing the best size is the number of people who will want to use the new facility. The town council suggested using net cash flow over a 5-year planning horizon as the criterion for deciding on the best size. The following projections of net cash flow (in thousands of dollars) for a 5-year planning horizon have been developed.All costs, including the consultant's fee, have been included.
Demand Scenario
Center Size Worst Case Base Case Best Case
Small 400 500 660
Medium -250 650 800
Large -400 580 990
a) What decision should Lake Placid make using the expected value approach?
b) Construct risk profiles for the medium and large alternatives. Given the mayor's concern over the possibility of losing money and the result of part (a), which alternative would you recommend?
c) Compute the expected value of perfect information. Do you think it would be worth trying to obtain additional information concerning which scenario is likely to occur?
Answers
A teacher asked her pupils what their favorite school subject was 3 pupils said PE was their favorite subject How many said that maths was their favorite subject
HELP PLZZZZZZZZ
SOMEONE
Answers
Answer:
None of the students said maths was his/her favourite subject
The height of an Egyptian pyramid is 146.5 meters and its base is 230.38 meters. Find the slope of the face of a pyramid.
Answers
Answer:
[tex]Slope = 1.57[/tex]
Step-by-step explanation:
Given
[tex]Height = 230.38\ m[/tex]
[tex]Base = 146.5\ m[/tex]
Required
Determine the slope
Slope is calculated as thus:
[tex]Slope = Rise/Run[/tex]
In this case:
[tex]Rise = Height = 230.38 m[/tex]
[tex]Run = Base = 146.5 m[/tex]
So, we have:
[tex]Slope = 230.38 / 146.5[/tex]
[tex]Slope = 1.57[/tex] (approximated)
plz help !! ty very much!!
Answers
Answer:
EZ PZ A
Step-by-step explanation:
Since the 3 in in the thousands Place, Just multiply 3,000 by 100, and you get 300,000. Then just find the one that has a 3 in the one hundred thousands place which would be A.
How many hours are in 45 days
Answers
Answer:
Step-by-step explanation:
1,080 hours just multiply 24 and 45
What is the unit rate of the oranges if I purchased 10 oranges for $2.50
Answers
Answer:
.25 per orange
Step-by-step explanation:
2.5/10=.25
32 lbs of bananas cost $160. How many lbs of bananas can
you get with $225?
Answers
Answer:only 32lbs because 160 times 2 is 320 and you only have 225 dollars.
Step-by-step explanation:math
Answer:
45lbs
Step-by-step explanation:
160/32=$5 Per lb of bananas
225/5=45lbs
what are the possible rational zeros of f(x)=2x^3-15x^2+9x+22
Answers
Answer:
f'(x)=6×^2=30x+9
Step-by-step explanation:
take the derivative of both sides
use differentiation rule
calculate the derivative
simplify the expression
2/5 divided by 5/8 in SIMPLEST form
Answers
Answer:
16/25 is it's simplest form.
Answer:
16/25
Step-by-step explanation:
2/5 ÷ 5/8
=2/5 2/8 ÷ 5/2 8/5 is how i do it but makes no sense
or known as 0.64 for the answer so there for its 16/25
Hope this helps ;)
Which function has the domain x>-11?
Answers
Answer:
1
Step-by-step explanation:
-11 + 11 =0
0+1= 1
So it would be 1>-11
Answer:
A
y = [tex]\sqrt{x+11}[/tex] + 5
Step-by-step explanation:
For edge
Josh ran 33 miles this week.if he ran the same distance each day for 4 days,what distance did he run each day
Answers
(5x+2) - (7x-8) simplify the following
Answers
Answer:
-2x + 10
Step-by-step explanation:
Step 1: Write expression
(5x + 2) - (7x - 8)
Step 2: Distribute negative
5x + 2 - 7x + 8
Step 3: Combine like terms
-2x + 10
Answer:
-2x+10
Step-by-step explanation:
All you have to do is combine like terms.
Simplify:
-2x-2x(5-4x)+3x(4-3x)
Answers
Answer:
−x⋅(17x−24)
Step-by-step explanation:
(-2x - (2x • (5 - 4x))) + 3x • (4 - 3x)
(-2x - 2x • (5 - 4x)) + 3x • (4 - 3x)
24x - 17x2 = -x • (17x - 24)
evaluate the expression if a=-2 and b = 5
Answers
If , a = (-2) and b = 5
Then :-
[tex] = \frac{8 \times 5 - 6 \times ( - 5)}{13} [/tex]
[tex] = \frac{40 - ( - 30)}{13} [/tex]
[tex] = \frac{70}{13} [/tex]
[tex] = 5.384615[/tex]
[tex]∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615[/tex]
I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!
Answers
Answer:
[tex](f\circ g)(4)=31[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
We have:
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
Computing the composite function:
[tex](f\circ g)(x)=f(g(x))=3(x^2-6)+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-18+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-17[/tex]
Now evaluate for x=4
[tex](f\circ g)(4)=3(4)^2-17=48-17[/tex]
[tex]\boxed{(f\circ g)(4)=31}[/tex]
Which equation is equivalent to the equation 6x+9=12?
Answers
Answer:
x=1/2
Step-by-step explanation:
2. A New Jersey-based statistics professor has collected data over several years concerning the duration of her morning commute to her university. A brief inspection of the data reveals that her commuting times are (roughly) normally distributed with a mean of 75 minutes and standard deviation of 15 minutes. If she leaves her home at 9:00 a.m. to attend a faculty meeting commencing at 10:30 a.m., what is the probability she will be late for the meeting?
Answers
Please solve for x. Someone helppppp
Answers
Answer:
36
Step-by-step explanation:
MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180
- 90 -90
(1/2x + 15) + (2x - 50) = 90
- 15 -50 -65
1/2x + 2x = 90
2&1/2x (2.5) = 90
/2.5 /2.5
x = 36
Look at the figure.
Which shows a reflection of this figure across the y-axis?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
Answers
if 2 ppl went up a 35in long ladder and someone went up a 12ft long ladder who is up higher?
Answers
Answer:
So, 1ft=12 in for 12 ft would=144in and 144in>35in and whoever is higher depends on where they started at, if the 35in guy was 55ft up already and the other 12ft guy was like 2ft under ground then yk the 35ft guy would be higher and also if they started at the same length then the 144in(12ft) guy is the winner he is the highest lol.
Step-by-step explanation:
Answer:HMMMMMMMM LET ME THINK THE PERSON WHO WENT 12 FEET
Step-by-step explanation:
A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar.How much oil should you use to make a total of 28 teaspoons of dressing
Answers
Answer:
16 teaspoons
Step-by-step explanation:
4x4= 16 teaspoons
The amounts of oil and vinegar combined to make the salad dressing are
in a constant definite proportion.
The quantity of oil required to make 28 teaspoons of dressing is 16
teaspoons.
Reasons:
According to the question, 4 parts of oil are added to every 3 parts of
vinegar.
Therefore;
The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3
4 : 3 = [tex]\dfrac{4}{3}[/tex]
The proportion of oil to vinegar is therefore;
[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]
Which gives;
[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]
Let x represent the amount of oil required to make 28 teaspoons of dressing,
we have;
[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]
Which gives;
[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]
[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]
Therefore;
[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]
The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.
Learn more here:
https://brainly.com/question/20320243
Which number is positive?
-87
-20
9
-6
Answers
Answer:
9 that is the answer.....
Answer:
the answer is 9
Step-by-step explanation:
the rest are negative numbers
can some please help me
Answers
Answer:
i think it is D
What is the domain of g
Answers
Answer:
All real values of 'x'. i.e., the answer to the question is 'E'
Please help this is urgent and it's due today.
Answers
there isn’t a picture
mark the statements that are true
Answers
What word phrase can you used to represent 5X +2
Answers
Answer: A number times 5 plus 2
Step-by-step explanation:
I weigh 180 pounds how much is that in kilograms .
Answers
Answer:
81.72 kg
Step-by-step explanation:
1 pound = 0.454 kg
180 pound = 0.454 × 180
= 81.72 kg
Answer:
81.6466 kilograms
Step-by-step explanation:
To convert pounds to kilograms divide the mass value by 2.205
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Find the product. (0.7)(-5.8)
Answers
Answer:
-4.06
Step-by-step explanation:
'ndnenenenensnsn
Answer:
-4.06
Step-by-step explanation:
(0.7)·(-5.8)=-4.06
change 3/5 into decimal
Answers
Answer: 0.6
Step-by-step explanation: 3 divided by 5 is the same thing as 30/5 which equals 6. Just move the decimal place one to the left to get 0.6.
Hope this helps! :)
Answer: 0.6
Step-by-step explanation:
Divide 3 by 5, and you end up with the decimal 0.6