Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.
Answer:
[tex]2x + 1200[/tex]
Step-by-step explanation:
[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]
Each new line represents the change stated in the question.
Calculate the unit rate for each option of Takis, explain which option is better,
and why?
Answer:
they are better because they are cheeper than the other
Which inequality matches the graph shown?
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
In the image above, what do the red arrows on lines mean?
If you could travel back in time one year, what advice would you give yourself?
10 sentence required for the brainlleist if 2 people answer
1
Answer:
To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.
Hope this helps :)
Step-by-step explanation:
If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.
I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.
Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.
Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.
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PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.
Answer:
33.6+(-5.5)=28.1
Step-by-step explanation:
Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.
To evaluate the expression, we can do 33.6-5.5.
When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.
33.6-
5.5
Then you can subtract normally, getting 28.1
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
simplify the expression (5x^7)^2
Answer:
25x^14
Step-by-step explanation:
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
1. (3x + 7) + (8x + 2)
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
You should not schedule _____ tasks for the same day.
yearly
daily
weekly
monthly
Answer:
B. Daily
Step-by-step explanation:
It makes more sense to put "daily" because of "the same day."
Daily means doing something everyday.
You should not schedule daily tasks for the same day.
Answer:
I just took the test.
It is weekly.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
Which point lies on the graph of the function shown below y=-x^2+5x-3
A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)
Answer:
C: (2,3)
Step-by-step explanation:
to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
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