Answers
Answer:
For #21, x = 35, y = 85
Step-by-step explanation:
For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.
We can see that there are two lines, and we are given 2 values to find with 3 possible equations.
[1] ( 2x + 25 ) + y = 180
[2] y + ( 3x - 10 ) = 180
[3] 2x + 25 = 3x - 10
Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.
2x + 25 = 3x - 10
2x + -2x + 25 + 10 = 3x + -2x + -10 + 10
35 = x
Now plug in the value of x to find y:
( 2x + 25 ) + y = 180
( 2(35) + 25 ) + y = 180
( 70 + 25 ) + y = 180
95 + y = 180
y = 85
We can check these values by plugging into the 2nd equation
x = 35 ; y = 85
y + ( 3x - 10 ) = 180
(85) + (3(35) - 10) = 180
85 + ( 105 - 10) = 180
85 + 95 = 180
180 = 180
Thus, we have validated our results and found the values of x and y.
Cheers.
Related Questions
-10(2r-4) what is the answer
Answers
Answer: -20r + 40
Step-by-step explanation:
multiply by the variable
-20r + 40
-10 x 2r = -20r
-10 x -4 = 40
Answer:
the answer to your question is: -20r + 40
if g(x) = 3 - 2x find, g(-1)
Answers
Steps to solve:
g(x) = 3 - 2x when g(-1)
~Substitute
g(-1) = 3 - 2(-1)
~Simplify
g(-1) = 3 - (-2)
~Simplify
g(-1) = 3 + 2
~Add
g(-1) = 5
Best of Luck!
What is the mean of the height 81,88,69,65,87
Answers
Answer:
C. 78 cm
Step-by-step explanation:
The mean of any given data set is calculated as sum of all data set divided by the number of data set given.
The data set for the height of Bella's corn given, is 81, 88, 69, 65, 87
Mean height of Bella's corn = [tex] \frac{81 + 88 + 69 + 65 + 87}{5} [/tex]
[tex] mean = \frac{390}{5} [/tex]
[tex] mean = 78 cm [/tex]
You are required to calculate the mean of the height, in other words, the average of the height
The mean of the height is 78
Given height
81, 88, 69, 65, 87
Mean = Total height / number of height
= (81 + 88 + 69 + 65 + 87) / 5
= 390 / 5
= 78
Mean of the height = 78
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Matt collected 18 fewer football cards than Steven. Matt collected 63 cards, how many cards did Steven collect
Answers
make m the subject of the relation. k=√m-y/m+1
Answers
Answer:
Make m the subject of the expression below; 3. Make v the subject of the relation; 4. Given that v 2 = u 2 + 2as, express a in terms of u, v and s. Hence, find the value of a when u = 15, v = 20 and s = 5. 5. An expression is given as.
Author: Toolbar
Step-by-step explanation:
please please help !!! will give brainliest to first correct answer
Answers
Answer:
[See Below]
Step-by-step explanation:
❶ It is irrational because to make it repeating it must be EXACT. In this case it is adding a 0 after every 1. So it'd be irrational since it doesn't have an end.
❷ Irrational because no one knows the end of pi. It doesn't have an ending so therefore irrational.
~Hope this helps Mate. If you need anything feel free to message me.
The price of an item has been reduced by 80% the original price was $20. What is the price of the item now ?
Answers
Answer:
Step-by-step explanation:
80% = 80/100 which also = 4/5
so the price was reduced by 4/5
20 minus 4/5 is = to 20 minus 16/20
which is 20/20 minus 16/20 = to 4/20
simplified is 4 dollars
What type of number is -15/3
Answers
Answer:
-5, a negative number
Step-by-step explanation:
Which of the following statements is the most precise and correct to define an angle?
Answers
Answer:
C
Step-by-step explanation:
Answer:
the exact degree of a rotation of a geometric figure in a coordinate plane
Step-by-step explanation:
Carrie sees a dress she wants that usually sells for $109. The dress is on sale at 15% off and sales tax is 6.5%. How much will Carrie need to purchase the dress?
Answers
Answer:
$98.67
Step-by-step explanation:
109(.15)= $16.35 You multiply by .15 to find out what 15% of the total (109) is going to be discounted.
109-16.35= 92.65 You subtract the discount from the total to come up with the new total.
92.65(1.065)= 98.67225 =98.67 You take the discounted total, 92.65, and multiply it by 1.065 which represents how you will will be paying for sales tax.
f(x) = x² – 3x; Find f(-8)
Answers
=64+24
=88
Hope this can help.
Hello :) how to do (bii)?
Answers
Answer:
bii) [tex] \frac{3118x^{2} }{1225} cm^{2} [/tex]
Please see the attached pictures.
*x represents the estimated distance on Map A
-7x + 5y = 1
10x - 8y = 2
Answers
x = -3
y = -4
Hope that helped :)
A cashier made $86 after an 8-hour shift. Find the unit rate of the cashier's salary and use it to determine how much the employee would make after 20 hours of work.
Answers
Answer:
215
Step-by-step explanation:
if you divide 86 by 8 you should get 10.75 then once you find that, you will multiply 20x10.75 and you should get 215
slove for x 2x+13=-54
Answers
Answer:
x = -33.5
Step-by-step explanation:
2x+13=-54
Subtract 13 from each side
2x+13-13=-54-13
2x = -67
Divide by 2
2x/2 = -67/2
x = -33.5
Answer:
x= -33 1/2 (-33.5)
Step-by-step explanation:
2x+13=-54
2x+13-13=-54-13
2x=-67
x=-67/2
x= -33 1/2 (-33.5)
Select each pair of functions that are inverses of each other. f (x) = left-brace (negative 5, negative 9), (negative 3, negative 4), (0, 1), (3, 7), (6, 13) right-brace. G (x) = left-brace (negative 9, negative 5), (negative 4, negative 3), (1, 0), (7, 3), (13, 6), right-brace. f (x) = x + 7; g (x) = x minus 7 2 2-column tables with 4 rows. Table 1 is titled f (x). Column 1 is labeled x with entries 2, 3, 4, 5. Column 2 is labeled y with entries 3, 8, 15, 24. Table 2 is titled g (x). Column 1 is labeled x with entries 5, 4, 3, 2. Column 2 is labeled y with entries 24, 15, 8, 3.
Answers
Answer:
The first two pairs of functions are inverse of each other
Step-by-step explanation:
Inverse functions?
1...................................
f(x) = {(-5, -9), (-3, -4), (0,1), (3,7), (6,13)}
g(x) = {(-9,-5), (-4, -3), (1,0), (7,3), (13,6)}
Yes, this pair is inverse as all points of the functions have inverse values2...................................
f(x) = x + 7 is given
Inverse of f(x) is
x = f'(x) + 7 ⇒ f'(x) = x - 7Since g(x) = x - 7 it is inverse with f(x)
Yes, this pair is inverse as described above3...................................
Data of f(x) and g(x)
x = {2, 3, 4, 5} f(x) = {3, 8, 15, 24}
x = {5, 4, 3, 2} g(x) = {24, 15, 8, 3}
No, as both functions have same domain and rangeexample is f(2) = 3 and g(2) = 3 as per tableDarenda worked for three weeks. The shaded part of the model represent the fraction of each week for she worms The shaded part of the model represent the fraction of each week for she worked from her home office. Which expression can be used to determine the number of weeks Darenda work from home office over these three weeks
Answers
for that it is 3 x 3/7
Answer:
3 x 3/7 is the answer but on your paper u can just say D hope this helps
0.18 as a fraction simplest form
Answers
Answer:
9/50
Step-by-step explanation:
First, convert the decimal into a fraction. In this case, convert .18 to 18/100. Find a common factor between the numerator and denominator, which in this case, would be 2. Divide both the numerator and denominator by 2 to get 9/50. 9/50 can't be simplified further, so this is your answer.
Answer:
[tex]\frac{9}{50}[/tex]
Step-by-step explanation:
0.18 is [tex]\frac{18}{100}[/tex].
Let's simplify the fraction:
[tex]\frac{18}{100}= \frac{18/2}{100/2}=\boxed{\frac{9}{50}}[/tex]
Hope this helps.
Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S. If PS=25, and PR=19, what is the value of QR
Answers
Answer:
13Step-by-step explanation:
The questions is incomplete. Here is the complete question.
Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S where PQ ≈ RS. If PS=25, and PR=19, what is the value of QR
If points P,Q,R,and S are collinear, this means that the four points lies on the same straight line.
If Point Q is between P and R, then PQ+QR = PR ........... 1
Also if R is between Q and S, then QR+RS = QS ...... 2
Given
PS=25
PR=19
RS = PS-PR
RS = 25-19
RS = 6
Since PQ ≈ RS
Hence PQ = RS = 6
From equation 1;
PQ+QR = PR
substituting the resulting values
6+QR = 19
QR = 19-6
QR = 13
Hence the value of QR is 13
Simplify. Rewrite the expression in the form a^na n a, start superscript, n, end superscript. a^{5}\cdot a^{-3}=a 5 ⋅a −3
Answers
Answer:
The expression simplified is a^2
Step-by-step explanation:
Here, we are interested in writing the product as a single value.
We have; a^5 • a^-3
This is same as a^5 * a^-3
We proceed here using the first law of indices;
It would result to a^5 * a^-3 = a^(5-3) = a^2
Answer:
Step-by-step explanation:
solve for the missing missing variable C=2πr; C=18.84, π=3.14
Answers
Answer:
The missing variable r = 3
Step-by-step explanation:
C = 2πr
Where,
C = 18.84
π = 3.14
r= ?
The missing variable is r
C = 2πr
Making r the subject
r = C / 2π
= 18.84 / 2*3,14
= 18.84 / 6.28
= 3
r = 3
The missing variable r = 3
Check:
C = 2πr
18.84 = 2*3.14*3
18.84 = 18.84
10∧-4 Simplified and what law did you use?
Answers
10 ^-4
Use the negative exponent rule to get:
1/10^4 = 1/10,000 (fraction answer) or 0.0001 (decimal answer)
4x + 6 < 3x − 5 I have to solve the inequality please help
Answers
Answer:
x < -11 or x ∈ (-∞, -11)
Step-by-step explanation:
4x + 6 < 3x - 5
<=> 4x - 3x < -5 - 6
<=> x < -11
Answer:
x+1 ???
Step-by-step explanation:
4x+6<3x-5
4x-3x=x
6-5=1
x+1
can't remember if I did it right
what is the value of 10x^3 y^2 when x=-2 and y=-3
Answers
Answer:
-720
Step-by-step explanation:
We are given the expression:
[tex]10x^3y^2[/tex]
and asked to evaluate when x= -2 and y= -3.
Therefore, we must substitute -2 for x and -3 for y.
[tex]10(-2)^3*(-3)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Evaluate the first exponent.
⇒ (-2)³ = -2 * -2 * -2= 4*-2= -8
[tex]10(-8)*(-3)^2[/tex]
Evaluate the second exponent.
⇒ (-3)²= -3 * -3= 9
[tex]10(-8)*9[/tex]
Multiply 10 and -8.
[tex]-80*9[/tex]
Multiply -80 and 9.
[tex]-720[/tex]
The value of 10x³y² at x= -2 and y= -3 is -720
I am in a subset of rational numbers, I am not negative, I am a whole number, I am not a natural number, what number am I?
Answers
Answer:
0
Step-by-step explanation:
0 is considered a whole number, but it is not a natural number. The natural numbers start at +1 and go forward. ) is not positive or negative, but being that it is a whole number, it is also a rational number.
Which algebraic expression is a difference with two terms?
O A. 6(x+5)
OB. 6 + x-9
O C. 6x - 9
O D. 9x6
Answers
Answer:
6x-9
the- sign makes it a difference and the two terms are 6x and 9
5 Select the correct answer. Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's account balance following these withdrawals? A $519.25 B. $369 O c. $369 OD. $519.25 Reset Next
Answers
Answer:
C.369
Step-by-step explanation:
one year is 12 months and he took out 30.75 every month so
30.75 multiplied by 12 is 369
its C
how do you do this? i don't need it solved i just don't know how to do it. i know the note on the side says how to but i'm still confused
Answers
Answer:
Perimeter of triangle J= 18.0 units (3 s.f.)
Perimeter of triangle K= 19.0 units (3 s.f.)
Step-by-step explanation:
The length of each side of the triangle can be found using the distance formula below:
[tex]\boxed{d= \sqrt{(y1- y2)^{2} + (x1 - x2)^{2} } }[/tex]
Please see the attached pictures for full solution.
Estimate the square root of 25. Round to the nearest hundredths place. Show your work!
Answers
Answer:
5.00
Step-by-step explanation:
Therefore, the square root of [tex]25[/tex] so the square root of [tex]5.[/tex].
What is the square root?
A square root of a number [tex]x[/tex] is a number [tex]y[/tex] such that [tex]y = x[/tex]; in other words, a number [tex]y[/tex] whose square.
Here given number is [tex]25[/tex] so the square root of [tex]\sqrt{25}=5[/tex].
Hence, the square root of [tex]25[/tex] so the square root of [tex]5.[/tex].
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evaluate 4+8/2x(6-3)
Answers
Answer:
4+8 = 12 , 6-3 = 3 , 2 x 3 = 6 , 12/6 = 2
the answer is 2
The expression 4 + 8 / 2 x (6 - 3) is equivalent to 16.
What is BOD MAS rule?The Bodmas rule is arranged according to the letters in the acronym BOD MAS, which stand for brackets, order of powers or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BOD MAS rule, mathematical equations containing numerous operators must be resolved in the BOD MAS order, starting from the left.
The given expression is,
4 + 8 / 2 x (6 - 3)
Solve by using BODMAS rule,
4 + 8 / 2 x 3
Further solve,
4 + 4 x 3
4 + 12
16
The simplified value of the given expression is 16.
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