Answer:
y = 7x-27
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS
Answer:
C) ASA
Step-by-step explanation:
angles are indicated equal and they share the common diagonal between those angles, so ASA
The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given triangles are given in the figure.
We can see that there are two angles that are the same and one side is the same.
According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
So, we conclude that the given two triangles are congruent.
Hence, the given two triangles are congruent due to the ASA postulate.
Learn more about congruent triangles here:
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A video game originally costs $63, but if you buy it before the end of May there is a 25% off sale. The sales tax is 9.5%. What is the final price of the video game if you buy it before the end of May?
Answer: $53.24
Step-by-step explanation:
Find the sales tax:
9.5*63.00=598.5
Then divide 598.5 by 100: 598.5/100= 5.985
Round: $5.99 ( sale tax amount )
Now we find the discount: 25*63.00= 1,575
Then divide it by 100 : 1,575/100= $15.75 ( discount amount )
Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24
Answer: $53.24
Your welcome :)
-19 2/9 -4 1/9-(-3 4/9) = ?
Answer:
I think its -19.9
Step-by-step explanation:
just break it down :)
A baseball bat that originally sold for $65 is on sale at a 15% discount. Which single gift card amount would cover the complete cost of the discounted bat? Select all that apply.
A
$10
B
$15
C
$50
D
$60
E
$80
Answer:
A
$10
Step-by-step explanation:
15% of $65 is 9.75
so $10 would cover the given amount
We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:
D and E.
The baseball bat is originally sold for $65.
It has a discount of a 15%, then the new price is given by:
P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25
So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25
The correct options are:
D: $60
E: $80
With these two you could pay the complete cost of the discounted bat.
If you want to learn more, you can read:
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jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.
a. what is the down payment?
b. what is the amount of the mortgage?
c. what are the closing costs?
d. what is the total amount of the mortgage if they finance the closing costs with the mortgage
The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.
Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.
Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.
So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.
To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000
Therefore, Jason's down payment is $43,000.b)
The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.
Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000
Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.
Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000
Closing costs = $13,545
Therefore, the closing costs are $13,545.
d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545
Total amount of the mortgage = $400,545
Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
For more questions Amount.
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Use the Distributive Property to solve the equation. 4(x + 3) = 32 The solution of the equation is (Type the value of x)
Answer:
x = 5
Step-by-step explanation:
4(x + 3) = 32
Use Distributive Property
4x + 12 = 32
Subtract 12 on both sides
4x = 20
Divide 4 on both sides
x = 5
Hope this helps! ^^
The sum of 2 and the quantity 20 divided by n.
Answer:
[tex] \dfrac{2 + 20}{n} [/tex]
Step-by-step explanation:
[tex] \dfrac{2 + 20}{n} [/tex]
Answer:
I think your answer is 10
Step-by-step explanation:
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)
Please third time asking I’ll mark brainliest
Answer: A≈440.44
Step-by-step explanation:
Answer:
1,536
Step-by-step explanation:
i calculated it
help me its due in 13 mins i forgot about it
Answer:im so sorry but i cant see the page you should take a more clear picture and send it again
Step-by-step explanation:
Mr. Winkleman , a professional wine taster, made $32,800 last year . This year he had a raise of $2,132 . what was the percent of the raise? PLEASEE ALSO show work , i will try and mark brainliest
Answer:
0.65
Step-by-step explanation:
Answer:
Step-by-step explanation:
2,142/32,800 ≈ 0.065 = 6.5%
Sal buys y pens and some pencils. He buys 10 more pencils than pens. How many pens and pencils does he buy
altogether?
Answer:
20
Step-by-step explanation:
!!!!!!help please!!!!!! Lots of poibts
Answer:
C: y < 3x + 2
Answer:
Step-by-step explanation:
I think the answer is C not really sure..
Help please I beg you. There’s a picture of the question and answers
A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?
Answer:
7/25
Step-by-step explanation:
why life on Earth depends on matter
Answer:
because matter is everything, everything around us is made of matter even people
have a good day :)
Step-by-step explanation:
pls help!________________
Answer:
I think your right but I'm not sure yet
Answer:
SCI or ICS
Step-by-step explanation:
The largest line will have the largest angle opposite to it, so angle SCI is the correct choice.
Help please I’ll mark you brainliest!!
Answer:
35 ft
Step-by-step explanation:
Sorry this took me so long, I am 99% sure it is right though
I hope this helps :)
giving brainliest, find the volume THANKS
Answer:
384 inches cubed
Step-by-step explanation:
Your equation is:
width x hight x length = volume
12 x 4 x 8 = 384 in cubed
Answer: that be B.128in^2
Step-by-step explanation: Hope this help :D
An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?
Answer:
1) at the highest Point
KE= 0 PE=2116.8 N
2) 3 m above the ground
PE= 529.2 N KE=1587.6 N
3) at the ground
KE= 2116.8 N and PE=0
Step-by-step explanation:
The potential energy is given by
PE= mgh where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.
The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.
1) at the highest Point
Now at the highest point the velocity is zero
KE= 1/2 mv²
KE= 0
PE = mgh
PE= 18 *9.8* 12= 2116.8 N
Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N
2) 3 m above the ground
At 3 m above the ground
PE= mgh
PE= 18 *9.8* 3= 529.2 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N-529.2N= 1587.6N
KE=1587.6 N
3) at the ground
at the ground the height will be zero
PE= mgh
PE= 18 *9.8* 0= 0 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N=2116.8 N + 0
KE= 2116.8 N
or
KE= 1/2 mv²
KE = 1/2* 18 *(15.36)²= 2116.8
On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?
Answer:
Probability of Sarah NOT selecting a mystery book = 0.67
Step-by-step explanation:
Probability helps to show how likely an event will occur;
The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.
We can take this route to solve this problem
The probability of picking an option from a broad list of alternatives can be calculated using the formula:
Probability = number of expected outcomes/ total number of options
For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.
The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.
We can get this by adding 6 + 5 + 4 + 3 = 18
Probability of Sarah selecting a mystery book = 6/18
Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67
0.33333333×3.14×8×8×18
Answer:
1205.75999
Step-by-step explanation:
The model below is shaded to represent an expression. Which expression represnts the model?
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
can someone please help will give brainleist
pythagorean modeling
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Answer:
hi.............,,,,,........
Please answer the question correctly
Answer:
ML=6
Step-by-step explanation: because JM and ML are a same straight line that is intersected they are the same
What are the formulas for a 90, 180, 270, and 360 rotation?
Find the area of the figure. (Sides meet at right angles.)
Answer:
The answer would be 50m units squared.
Graph the line with the equation y = 1/2x+3
Answer:
(0,3) (-6,0) these will be the points
