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Further Explanation:
Whenever you are doing a proof, always start with the given info. It may seem silly to literally repeat (word-for-word) what your teacher has given you, but this is how all proofs start out. It helps place an anchor point in which you can connect to what you want to prove.
So this is why the first line is literally a repeat of what your teacher has stated. The reason you'll state is "given".
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For reason 2, we use the vertical angle theorem. Vertical angles are always congruent.
Vertical angles form whenever we have an X shape like this of two segments crossing. The angles are opposite one another (almost like mirror images of sorts).
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Lastly, reason 3 uses the SAS (side angle side) similarity theorem.
This is the theorem which says that if you have two pairs of sides in proportion and a pair of congruent angles between those sides, then we can prove the triangles similar.
Statement 1 handles the sides being in proportion. Statement 2 handles the congruent angles.
As you can see, everything in this proof builds step by step toward the final goal of saying triangle ABC is similar to triangle EBD.
Answer:
well 1 plus 1 is 2 so i dont know
Step-by-step explanation:
:)
Help me with this pleaseeeeeeee
Answer:22 hopes this helps
Step-by-step explanation:
so here the problem look at the numbers -8 and 14
8 is no long a a negative it’s positive
So now you got 8 + 14 = 22
Answer:
22 blocks
Step-by-step explanation:
just simply add 8 and 14 to get your answer :)
Eddie had 30 dollars to spend on 3 gifts. He spent 11
7
10
dollars on gift A and 5
2
5
dollars on gift B. How much money did he have left for gift C?
Answer:
12.9 or 12 9/10
arrange 5/4 1/2 5/6 in ascending order
Answer:
Order is 1/2 < 5/6 < 5/4
Step-by-step explanation:
1/2 = 0.5
5/6 = 0.83
5/4 = 1.25
0.5 < 0.83 < 1.25
Just convert 'em to decimals....
½ = 0.5
⅚ = 0.83
5/4 = 1.25
# 1/2 < 5/6 < 5/4
At what point on the curve y = 9 + 2ex − 5x is the tangent line parallel to the line 5x − y = 8?
(x, y) = ?
Answer:
[tex](\ln(5), 19-5\ln(5))[/tex]
Step-by-step explanation:
The line can be represented as y=5x-8, so the slope of the line is 5.
The derivative of the curve is:
[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]
We need to set that equal to 5 to find the x coordinate of our desired point
[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]
Now, just plug in x in the curve to solve for y:
[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]
Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.
To solve this equation
dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.
When we set the slope of the tangent line to 5, we obtain:
2ex − 5 = 5
2ex = 10
e^x = 5
Taking the natural logarithm of both sides, we get:
ln(e^x) = ln(5)
x = ln(5)
Therefore, ln(5) is the x-coordinate of the crossing point.
We can enter this value of x into the original function to determine the y-coordinate:
y = 9 + 2e^(ln(5)) − 5(ln(5))
y = 9 + 10 − 5ln(5)
y = 15 − 5ln(5)
As a result, the intersection is at (ln(5), 15 5ln(5)).
To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.
Learn more about tangent line here
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Amanda is buying her first car for $10,000. She is going to take out a loan from the bank that has an interest rate of 3.4% on the total cost. She will also need to pay tax on the car. How much will she owe in total?
PLEASE HELP ASAP!!!!!! no links please
which expression is equivalent to 7(6m - 7) + 9?
- 42 + 2
- -7(6m + 7) + 9
- 7 (-7 + 6m) + 9
- -40m + 42
Answer:
[tex]7( - 7 + 6m) + 9[/tex]
Problem shown on the picture
Step-by-step explanation:
please answer those Questions Mathematics
seriously i have no idea
Answer:
A. <LKM = <LJN
Step-by-step explanation:
A. <JKM = <LJN is not congruent = will NOT prove
B. KM/JN = KL/ML is a valid proportion = will prove
C. JN || KM is congruent = will prove
D. KL/JL = ML/NL is a valid proportion = will prove
For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn
Answer: (with explanation) (ANSWER AT THE BOTTOM)
et P = number of hours that the plumber worked.
let H = number of hours that the helper worked.
since the plumber worked 3 more hours than the helper, the equation for hours worked is
P = H + 3
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since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.
this equation is
(28*P) + (15*H) = 213 dollars
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both get the same answer.
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substitute for P in the money equation since P is the same as H + 3.
equation becomes
(28*(H+3)) + (15*H) = 213
solve for H.
28*H + 28*3 + 15*H = 213
43*H + 84 = 213
43*H = 129
H = 3
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if H = 3, then P = 6 because P = H + 3.
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6*28 + 3*15 = 213 so your answer is
Plumber works 6 hoursHelper works 3 hours.now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.
let's do the Plumber first
28x6=168
now the helper
15x3=45
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now to check if that was the right answer, let's add them up...
168+45=213
so, our answer is right.
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The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.Answer:
mark other guy brainly, his answer is right, and he truly deserves it, he got expert verified
Step-by-step explanation:
This is very urgent please help!
1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9
Write an equation of a line that is perpendicular to the line whose equation is
2y = 3x – 10 and passes through (–6, 1).
Answer:
point-slope form: [tex]y-1=\frac{-2}{3}(x+6)[/tex]
y-intercept form: [tex]y=\frac{-2}{3}x-3[/tex]
Step-by-step explanation:
hope this helps :)
What is the Absolute Value of -15 and 16?
Answer:
AV of -15 is 15.
AV of 16 is 16.
Step-by-step explanation:
It turns the number positive.
represent -6 on number line
Answer:
-6 = negative 6
negative is on the left side of the number lines
6 left from the middle
If this helped, please consider picking this answer as the Brainliest Answer. Thank you!
divide 20000 in the ratio in the 5:4:1
Answer:
5+4+1=10
20000/10=2000
5x2000:4x2000:1x2000
10000:8000:2000
I NEED HELP ASAP!!!!
Answer:
B) 8
Step-by-step explanation:
Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.
If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.
I need help on this no rush either take as much time as you need and I asked my sister this but she said just ask on brainly
Answer:
45
Step-by-step explanation:
The equation for area of a triangle is:
[tex]A=\frac{1}{2}*b*h[/tex]
Using the figure, we can determine the base is 15 since it is perpendicular to the height.
We can plug 6 (height) and 15 (base) into the equation to solve for the area...
[tex]A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45[/tex]
Solve for p: p/10 = 7.2/36
Paid for $22 for for movie tickets how many would they have pay for for 16 tickets
Answer:
$352
Step-by-step explanation:
One ticket costs $22, so 16 tickets would be 22 times 16.
Final Answer: $352
Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation
I need a SIMPLE definition of the addition property of equality, subtraction property of equality, multiplication property of equality, and division property of equality.
(a) A retailer bought a compact disc form a manufacturer for $20. In addition to that he paid a 15% value-added tax. If he sold the disc to a custmer for $26, calculate the cash profit he made. (use this question for question below)
(b) The manufacturer later increased the price of the compact disc by 20%. At the same time, the value- added tax was increased to 25%.
( use for below question answer: $30) ^^^^
(i) If the retailer made the same cash profit as before,calculate the price a customer had to pay for a disc.
Answer:
$23
Step by step explanation
how to do this equation y=2x-10 and 2y=x-8
Answer:
y=2x-10
2y=x-8
since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one
4x-20=x-8
-x
3x-20=-8
+20
3x=12
x=4
then lets just plug it in
2y=4-8
simplefy
2y=-4
y=-2
(4,-2)
Hope This Helps!!!
systems of equations by elimination
8x+14y=4
-6x-7y=-10
Answer:
x = 6/5
y = 2/5
Step-by-step explanation:
this is the answer i got please mark brainliest i really need it cuz i need 2 more
What does the random variable for a binomial experiment of n trials measure?.
Answer:
What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.
Step-by-step explanation:
The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
Find
(I) BAD
(ii) BCE
Answer:
(i) 88°
(ii) 23°
Step-by-step explanation:
See the picture below.
The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.
ABCD is a rhombus, so all sides are congruent.
Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.
A pumpkin pie recipe calls for 30 ounces of pumpkin, 6 eggs, and 2.5 cups of brown sugar to make two pies. How much of each ingredient is required to make five pies?
Answer:
75 onces 15 eggs and I dont know for the brown sugar
Step-by-step explanation:
i need help with this match
Answer:
1 d
2 b
3 g
4 a
5 e
6 f
7 c
8 h
Please mark as Brainliest
please help I will give brainlyest
Answer:
See below.
Step-by-step explanation:
The answer is D. M and O are congruent, but that is not an option, so the focus goes towards M and N. M and N are similar, but are not congruent.
-hope it helps
Answer:
M and N are similar but not congruent.
Step-by-step explanation:
4(n+6)+3n is greater than or equal to 3n-4
Answer:
7n+24 is greater than that 3n-4
Step-by-step explanation:
First Distributive Property
4(n+6)+3n
Combine like terms
4n +24+3n
7n+ 24
Explanation
7n+24 is greater than that 3n-4