Answers
Answer:
ASA
Step-by-step explanation:
The longest side is the same (denoted by the small line).
Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.
As such, the triangles share one common side and two common angles. Hence ASA
Related Questions
The percentage of students in school that attended the talent show for the years 2008 to 2013 are shown. This year, the school has a total of 400 students. How many students do you expect to attend the talent show this year? Explain how you found your answer.
PLEASE I NEED HELP ITS URGENT
Answers
Answer:
352 students
Step-by-step explanation:
Given
See attachment for table
[tex]n = 400[/tex]
Required
Attendance of students in this year's show
First, we calculate the mean of the table
[tex]Mean= \frac{\sum x}{n}[/tex]
So, we have:
[tex]Mean= \frac{85\% + 91\% + 92\% + 87\% +84\% + 89\%}{6}[/tex]
[tex]Mean= \frac{528\%}{6}[/tex]
[tex]Mean= 88\%}[/tex]
Multiply the mean by the total students
[tex]Expected = Mean * n[/tex]
[tex]Expected = 88\% * 400[/tex]
[tex]Expected = 352[/tex]
Answer:352
Step-by-step explanation:
You basically just find the mean
Can someone help me with this pls.
Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers that make the equations true. Answers should be numbered and rewritten with the boxes replaced with the proper symbols or numbers. Show work or justification to support your choices and prove that the equations are still true.
Answers
Answer:
[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the boxes
Solving (1):
[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]
Swap the equation
[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Open bracket
[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Simplify the like terms
[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
So, we have:
[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
i.e.
[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
Solving (2):
[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
The above expression illustrates the difference of two squares.
So, complete the first equation with minus
[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Express 169 as 13^2
[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Apply difference of two squares
[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]
So, the complete expression is:
[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
Solving (3):
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]
20 can be expressed as: -5 * -4
So, the expression becomes
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]
Expand
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]
So, the complete expression is:
[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
Solving (4):
[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]
28 can be expressed as 7 * 4
So, the expression becomes
[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]
Expand
[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]
[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]
So, the complete expression is:
[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
Solving (5):
[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]
-24 can be expressed as -3 * 8
So, the expression becomes
[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Expand
[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]
[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]
So, the complete expression is:
[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
An equation is formed of two equal expressions. The complete equations are:
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex][tex](x^2-169) = (x+13)(x-13)[/tex][tex]x^2-9x+20=(x-5)(x-4)[/tex][tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex][tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1. The first equation that is given to us is:
[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]
Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,
[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]
Thus, the complete equation will be
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].
2. The second equation that is given to us is,
[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]
Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,
[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]
Thus, the complete equation will be
[tex](x^2-169) = (x+13)(x-13)[/tex].
3. The third equation that is given to us is,
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]
Thus, the complete equation is
[tex]x^2-9x+20=(x-5)(x-4)[/tex].
4. The fourth equation that is given to us is
[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.
[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]
Thus, the complete equation is
[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]
5. The fifth equation that is given to us is
[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.
[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]
Now, solving the right side of the equation to get the complete left side of the equation we will get,
[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]
Thus, the complete equation is
[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]
Learn more about Equation:
https://brainly.com/question/2263981
What is the value of y?
Answers
Answer:
31
Step-by-step explanation:
y+y=y+31
2y-y=31
y=31°
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
Write an equation to model this situation using h to represent the number of hours the repairs take, p to represent the cost of the parts and, cto represent the
total cost of the repairs.
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
$
Answers
Answer:
Part A
c = p + 55h
Part B
$362
Step-by-step explanation:
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
h = the number of hours
p = the cost of the parts
c = the total cost of the repairs.
The equation to model this situation is written as:
c = p + $55 × h
c = p + 55h
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
From the above question:
p = $142
h = 4
Since our equation =
c = p + 55h
Hence,
c = 142 + 55 × 4
c = 142 + 220
c = 362
Therefore, the cost of repairs = $362
Create an equation that matches the following
transformations:
A horizontal shift left 8.
A vertical shift up 3.
Answers
Answer: there you go! I hope this helps!
Step-by-step explanation:
What is -2(3x+12y-5-17x-16y+4) simplified?
Answers
Answer:
Solution given:
-2(3x+12y-5-17x-16y+4)
-6x-24y+10+34x+32y-8
34x-6x+32y-24y+10-8
28x+8y+2 is a required answer.
- 7th Grade work -
Pls just say if it's a, b, c, or d.
Answers
Answer:
We first need to solve the inequality so,
3 > j/-3 - 7
+7 +7
10 > j/-3
x-3 x-3
-30 > j
D is your answer.
It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.
NEED HELP ASAP!! Which statement correctly uses limits to determine the end behavior of f(x)?
Answers
The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a function:
[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]
Applying limit:
[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]
[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]
Divide by x^4 on the numerator and denominator, we get:
[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]
So the value of the limit will be zero whereas x tends to ±∞
Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
Learn more about the limit here:
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Which of the following is not a characteristic of term life insurance?
A) Must be renewed periodically
B) Coverage can be denied upon renewal
C) Paid out if you die
D) Ability to access cash value
[Mathematics of Personal Finance A P E X]
Answers
Answer:
D-Ability to access cash value
The statement which is not a characteristic of term life insurance is B) Coverage can be denied upon renewal.
What is Term Life Insurance?Term life insurance is the simplest form of the life insurance which is a death benefit which pays the policyholder when lives or their heirs when they died.
Here,
Term life insurance has to be renewed periodically.
The coverage of the term life insurance can be extended by renewing it. So it cannot be denied upon renewal.
In term life insurance, it will paid out if you die.
There is a characteristic of ability to access cash value in term life insurance.
Hence the characteristic which is not that of the term life insurance is option B) Coverage can be denied upon renewal.
Learn more about term Life Insurance here :
https://brainly.com/question/27910991
#SPJ5
HELP ASAP!! WILL GIVE BRAIN THING AND A THANKS!
Answers
Answer:
42
Step-by-step explanation:
that is the answer i got
Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?
Answers
Answer:
1 hour and 35 mins
Step-by-step explanation:
Hillary is sharing a box of candy with her friends. if there are b pieces of candy in the box being split between 3 people, which expression shows how many pieces of candy each person should get?
a. b divided by 3
b. b - 3
c. b x 3
d. b + 3
Answers
Answer:
the answer is A- B/3 or B divided by 3
Step-by-step explanation:
Distribute - 10 (1 + 3x).
Answers
Answer:
10 + 30x
Step-by-step explanation:
Answer:
-10 - 30x
Step-by-step explanation:
-10 (1 + 3x)
(-10 · 1) + (-10 · 3x)
-10 + -30x
-10 - 30x
HELP ME PLEASE...................................
Answers
Find the diameter of the object.
diameter: __ ft
Answers
Answer: 1.6
Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
B. between $135 and $275?
C. more than $240?
Answers
Answer:
Step-by-step explanation:
Today's calculators have statistical functions built in.
A. Here we use:
normalcdf(10,310,205,35), WHICH returns 0.999.
B. normalcdf(135,275, 205,35) = 0.954
C. normalcdf(240, 10000, 205, 35) = 0.159
Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary.
Answers
Hope this helps
Brainliest plzz
Which is the net for this rectangular prism?
Answers
Answer:
The one on the bottom left
Step-by-step explanation:
Have a wonderful Day
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.
Answers
Step-by-step explanation:
here u go ..ntgs different hope this will too helps ..stay safe
WILL GIVE BRAINLIEST!!!!
Solve the inequality:
n - 48 < 12
Answers
Answer: n < 60
Step-by-step explanation:
n - 48 < 12
n - 48 + 48 < 12 + 48
n < 60
[tex]\frac{25}{24} x \frac{18}{35} =\\[/tex]
Answers
Answer:
1307/840
Step-by-step explanation:
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answers
Answer:
5/16 pounds
Step-by-step explanation:
The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.
Answer:
0.3125 pounds
Step-by-step explanation:
Each wedge of cheese weights 0.1325 pounds
Solve 2x – 5 = 7?
What is the answer?
Answers
Answer:
x = 6
Step-by-step explanation:
Sharon has a patio in the shape of a rectangle
The length of the patio is I feet
• The width of the patio is w feet
Sharon plans to expand the patio by increasing the length by 50% and increasing the width by 20%
Which of the following expressions could be used to find the area, in square feet, of the expanded patio
O A. (1.51) (1.2w)
O B. (+0.5) Xfw +0.2)
© C. (2 x w) + (0,5 +0.2)
O D. (0.5l) (0.2w)
Answers
Answer:
D
Step-by-step explanation:
The area of the expanded rectangular patio is: D. (0.5l)(0.2w)
What is the Area of a Rectangular Patio?Area = (length)(width)
Given the following:
l = length of patiow = widthNew length = 50% of l = 0.5l
New width = 20% of w = 0.2w
Area of the expanded rectangular patio = (0.5l)(0.2w)
Learn more about area of rectangle on:
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Please help with this cylinder
Answers
Answer:
x = 4
Step-by-step explanation:
Area of a parallelogram = base times height
Given area = 40
Given height = 4
Given = x + 6
Thus,
40 = 4 * (6 + x )
Step 1 distribute the 4
4 * 6 = 24
4 * x = 4x
we now have 40 = 24 + 4x
step 2 subtract 24 from each side
40 - 24 = 16
24 - 24 cancels out
now we have 16 = 4x
step 3 divide each side by 4
4x / 4 = x
16 / 4 = 4
we're left with x = 4
To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.
(x + 6) * 4
* substitute 4 for x *
(4 + 6) * 4
4 + 6 = 10
10 * 4 = 40
40 = 40
Hence x = 4
Answer:
x = 4
Step-by-step explanation:
X + 6 feet
4 feets
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answers
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
If y= x³-1 find the value of y if x= -2
Answers
Answer:
Y=19 Hope this helps!!!!
Step-by-step explanation:
please help! i’ve been stuck on this question for the longest.
Answers
Answer:
57%
Step-by-step explanation:
Answer:
I think the first one 57%
Step-by-step explanation:
hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤
Paul worked as a library volunteer for 8 ¼ hours. Harry worked for 3 ½ hours. How much longer did Paul work than Harry?
Answers
Answer:
4 3/4
Step-by-step explanation:
= (8 - 3) + (1/4 - 1/2)
= 5 + 1/4 - (1 x 2 over 2 x 2)
= 5 + 1/4 - 2/4
= 5 and (1/2 over 4)
= 5 + -1/4
= 4 3/4
Jello someone please help me
No links or files please
Answers
Answer:
3. 43 4. 84 5. 522
Step-by-step explanation: