Answers
Answer:
b = 71 degrees
Step-by-step explanation:
Because the angles are on a straight line you know the total measure is 180 degrees. Therefore:
180 = 109 + b
Subtract 109 from both sides:
71 = b
Related Questions
If an item that originally cost $19 is decreased to $16, what is the percentage of decrease in the item?
Round your answer to 3 decimal places.
Answers
15.789% is the percentage decrease of the item with an originally cost of $19 and decreasing to $16
What is the percentage decrease of the item?Percentage decrease is simply the amount of decrease from the original value to the new value in terms of 100 parts of the original value.
The formula for percentage decrease is expressed as;
D = ((x₁ - x₂) / x₁)100%
Given the data in the question;
original value x₁ = $19New value x₂ = $16Percentage decrease D = ?To determine the percentage decrease, plug the given values into the percentage decrease formula above.
D = ((x₁ - x₂) / x₁)100%
D = (( 19 - 16 ) / 19 )100%
D = (( 3 ) / 19 )100%
D = ( 0.1578947 )100%
D = 15.789%
Therefore, the percentage decrease of the item is 15.789%.
Learn more about Percentages here: brainly.com/question/24159063
#SPJ1
Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.
Let y represent the number of years since Clayton started his job and f represent the total number of times he has flown.
Complete the equation that represents the relationship between y and f.
y f
1 9
2 15
3 21
4 27
f=
y+
Answers
Answer:
f = 6y + 3
Step-by-step explanation:
The equation to reflect this condition is:
f = 6y + 3Where
3 - is constant, the initial number of flights6 - coefficient, number of flights per yeary- number of yearsf- total number of flightsFill in the missing statement and reason of the proof below.
Given:
A
E
‾
≅
E
B
‾
AE
≅
EB
and
∠
D
A
B
≅
∠
C
B
A
.
∠DAB≅∠CBA.
Prove:
△
A
D
E
≅
△
B
C
E
△ADE≅△BCE.
Answers
The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.
By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.
The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.
Learn more about angle here
https://brainly.com/question/28451077
#SPJ1
What are 2 partial products you would add to find 32 x 405 I need answers fast
Answers
The partial products to add to find 32 * 405 are 30 * 405 and 2 * 405
How to determine the partial product of the numbers?The numbers are given as
32 and 405
By using the standard algorithm i.e. the partial product method, we have the following equation
32 * 405 = (30 + 2) * 405
Open the bracket
So, we have the following equation
32 * 405 = 30 * 405 + 2 * 405
Evaluate the products
So, we have the following equation
32 * 405 = 12150 + 810
The above means that the partial products to add to find 32 * 405 are 30 * 405 and 2 * 405
Next, we evaluate the sum
So, we have the following equation
32 * 405 = 12960
This means that the final product is 12960
Hence, the partial products to add to find 32 * 405 are 30 * 405 and 2 * 405
Read more about products at
brainly.com/question/10873737
#SPJ1
What is the volume of the figure?
Answers
Question
Solve the formula C = πd for л.
Answers
Two or more expressions with an Equal sign is called as Equation.π= C/d for equation C = πd
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is C = πd
c equal to pi times of d
We need to solve it for π
To solve for π we have to separate π from d. To make this We have to divide both sides by d.
So C/d= π
Hence π= C/d for equation C = πd
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Which sum does the model below represent?
+
+
+
+
ĐO
oo ooo
0 4+(-7) = -3
O 4+ 7 = 11
O 8+(-3) = 4
O 11+ (-4) = -3
Answers
Answer:
THIS ANSWER IS CORRECT
----------------------------------------------
Step-by-step explanation:
BRAIN LESS ANSWER
Help pls part b is how many batches of jam can the farmer make
Answers
The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)
To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.
Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".
Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,
=> 16 = 2 1/2 + 2 1/4b
Hence the correct option is (b).
To know more about equation here
https://brainly.com/question/10413253
#SPJ1
1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}
Answers
Answer:
x< -12
Step-by-step explanation:
-1/2x>6
x-2. x-2
x>-12
Since we multiply by we negative we flip the sign
x< -12
Hopes this helps
pls help im being timed
Answers
Answer:
He needs 8 health packs
Step-by-step explanation:
3x + 5 \(\geq\) 29
3x \(\geq\) 24
x \(\geq\) 8
Identify the axis of symmetry, vertex, and range for the quadratic function.
Answers
find the volume of the following square pyramid. geometry hw
Answers
Given:
The square base pyramid with height 3 cm and base edge 2 cm.
To find:
The volume of the square pyramid.
Solution:
Volume of a square base pyramid is:
\(V=\dfrac{1}{3}Bh\) ...(i)
Where, B is the base area and h is the height of the pyramid.
Base is a square with edge 2 cm, so the base area is:
\(B=a\times a\)
Where, a is the edge of the square base.
\(B=2\times 2\)
\(B=4\)
Putting \(B=4,h=3\) in (i), we get
\(V=\dfrac{1}{3}(4)(3)\)
\(V=4\)
Therefore, the volume of the given pyramid is 4 cm³.
Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
Answers
I think the answers 3048_&8_9_)_)_
Solve this inequality 15n<8n-21
Answers
The solution of the inequality 15n>8n-21 is given by, n<-3.
Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.
Given that the inequality is 15n<8n-21
Solving the inequality we have,
15n<8n-21
15n-8n<8n-21-8n, subtracting from both sides
7n<-21
n<-3, dividing 7 from both sides
So the solution of the given inequality is, n<-3.
To know more about Inequality refer to:
https://brainly.com/question/24372553
#SPJ1
Determine if the following odered pairs are the solutions choose the correct letter
Answers
Given the equation below
\(3x+y=21\)Given the following ordered pairs below
\(\begin{gathered} (3,11) \\ (7,0) \\ (0,21) \end{gathered}\)To find out if the ordered pairs are solutions to the given equation,
Substitute for x and y to find out if its equal to the right side
Given the ordered pair (3,11)
Where x = 3 and y = 11, substitute for x and y into the equation
\(\begin{gathered} 3x+y=21 \\ 3(3)+11=21 \\ 9+11=20 \\ 20\ne21 \end{gathered}\)The ordered pair solution is not equal to the right side because result is 20 which is not equal to the right side.
Thus, the answer is A
For the ordered pair (7,0)
Where x = 7 and y = 0, substitute for x and y into the equation
\(\begin{gathered} 3x+y=21 \\ 3(7)+0=21 \\ 21+0=21 \\ 21=21 \end{gathered}\)The ordered pair solution is equal to the right side because result is 21
Thus, the answer is B
For the ordered pair (0,21)
Where x = 0 and y = 21, substitute for x and y into the equation
\(\begin{gathered} 3x+y=21 \\ 3(0)+21=21 \\ 0+21=21 \\ 21=21 \end{gathered}\)The ordered pair solution is equal to the right side because result is 21
you have a 75% off coupon. if the original cost of an item was $115.99, what is the final price if you use the coupon?
Answers
Answer:
If the original cost of the item is $115.99 and you have a 75% off coupon, then the discount is:
Discount = 75% x $115.99 = $86.99
To find the final price after the discount, we need to subtract the discount from the original price:
Final price = Original price - Discount
Final price = $115.99 - $86.99
Final price = $29.00
Therefore, the final price of the item after using the 75% off coupon would be $29.00.
Step-by-step explanation:
Nichols has decided to buy 1.5 pounds of sour patch kids. How much will the sour patch kids cost
Answers
Four sparking plugs and a fan belt cost $10.50 if the fen belt costs $1.75 more than sparking plugs. Find the cost of each material
Answers
Answer: x = $1.75
Step-by-step explanation:
Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.
According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:
4x + (x + $1.75) = $10.50
Simplifying and solving for x, we get:
5x + $1.75 = $10.50
5x = $8.75
x = $1.75
Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).
a rectangular park has a length of (x + 5) and a width of (x - 2). What is the area of the park?
Answers
The area of a rectangle is given by the formula:
Area = length x width
In this case, the length of the park is x + 5 and the width is x - 2. So, we can substitute these expressions into the formula to get:
Area = (x + 5) x (x - 2)
Expanding the product, we get:
Area = x^2 + 5x - 2x - 10
Simplifying, we have:
Area = x^2 + 3x - 10
Therefore, the area of the rectangular park is given by the expression x^2 + 3x - 10.
national Bureau of statistics reported that approximately 30% of the population are unemployed. In conducting a random telephone surveys, what is the probability of getting two or fewer unemployed people in a sample of 20? “Binomial distribution”
Answers
n = 20 (the sample size)
p = 0.30 (the probability of an individual being unemployed)
x = 0, 1, or 2 (the number of unemployed individuals we want to calculate the probability for)
Using the binomial probability formula, we can calculate the probability of getting 0, 1, or 2 unemployed individuals in a sample of 20:
P(X = 0) = (20 choose 0) * (0.30)^0 * (0.70)^20 = 0.0008
P(X = 1) = (20 choose 1) * (0.30)^1 * (0.70)^19 = 0.0069
P(X = 2) = (20 choose 2) * (0.30)^2 * (0.70)^18 = 0.0278
To get the probability of getting two or fewer unemployed people in the sample of 20, we add the probabilities of getting 0, 1, or 2:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0008 + 0.0069 + 0.0278 = 0.0355
Therefore, the probability of getting two or fewer unemployed people in a sample of 20 is approximately 0.0355 or 3.55%.
22. Given p(x)=. x+7/3, if p(x)=13,find x
Answers
The value of x is 32/3
What is function?
Function is made up of many kinds of variables and constants.General notation of a function can be given by f(x)The given function is
p(x) = x+7/3
p(x) = 13
Put the value of p(x) in given expression
p(x) = x+7/3
13 = x + 7/3
Now solve for x
13 - 7/3 = x
swap the positions and take LCM
x = (39 - 7) / 3
x = 32/ 3
Therefore, the value of x is 32/3
To read more about Function
https://brainly.com/question/22340031
#SPJ9
Is the relation shown in the table below a function? (type in yes or no)
Answers
Answer:
Yes
Step-by-step explanation:
To know if a table is a function or not, we have to see if 1 input only has 1 output.
Looking at the table each input only has 1 output, so it is a function.
Write an equation of the line perpendicular to line MN that goes through point Q.
Francisco has solved the problem for you, but made a mistake.
Find the error in the work and correct the mistake. Show your work for full credit.
Francisco’s work:
Step 1: Slope of MN: 1/4
Step 2: Slope of the line perpendicular: 4
Step 3: y - y = m(x - x) Q(6, -2)
y - (- 2) = 4 (x - 6)
Step 4: y + 2 = 4x - 24
Step 5: y + 2 - 2 = 4x - 24 - 2
Step 6: y = 4x - 26
Step completed incorrectly: ___
(I believe the step completed incorrectly is 2? But I’m not very sure on the showing my work part as well.)
Answers
Answer:
Step completed incorrectly: 2
Correct Answer: y = -4x + 22
Step-by-step explanation:
The graph is a straight line through points M(4, -1) and N(8, 0). Point Q is located at (6, -2).
To calculate the slope of the line, substitute the points into the slope formula:
\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)
Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.
If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.
The negative reciprocal of 1/4 is -4.
Therefore, the slope of the perpendicular line is -4.
So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.
Corrected work
\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)
\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)
\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)
\(\textsf{Step 4:} \quad y+2=-4x+24\)
\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)
\(\textsf{Step 6:} \quad y=-4x+22\)
Therefore, step 2 has been completed incorrectly.
The correct answer is y = -4x + 22.
HELP PLEASE PLEASE HELP Create an expression that includes 2 Operations 1 Must be addition or subtract, the other multiplication/division Write a word problem that leads us to this
Answers
Answer:
Margret, Jay, and Andi each have a sticker collection. Jay has 34 stickers. Margret has 3 times as many stickers as Andi. Andi has 9 more stickers than Jay. How many stickers does Margret have?
How to solve:
a = andi's stickers
j = jay's stickers (34)
m = margret's stickers
9 + j = a or 9 + 34 = 43
so a = 43
a x 3 = m or 43 x 3 = 129
m = 129
Margret has 129 stickers
what is 35 divided by 97.3
Answers
Answer: 2.78
Step-by-step explanation:
long division
What does "buying more house than you can afford" mean? Why shouldn't you do this?
Answers
Answer:
Basically it just means that you are trying to spend money that you don't have on things you don't need.
Step-by-step explanation:
Taken literally, you can live in a pretty small house and be content. You don;t need to spend tons of money to be happy. This can be a bad thing to do because you don't want to be in debt to anyone, especially when that could have been avoided.
8/5÷6=
i need help on this
Answers
Answer:
2 forms
Step-by-step explanation:
hope this helps <3
\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)
\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)
\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)
\( \sf \longrightarrow \: \frac{30}{8} \\ \)
\( \sf \longrightarrow \: \frac{8}{30} \\ \)
\( \sf \longrightarrow \: 0.26 \\ \)
_____________________________
Kevin bought a desk on sale for $280.80. This price was 36% of the original price.
What was the original price?
Answers
The original price of desk bought by kevin is $780.
What is original price?
To calculate the initial worth of a reduced or sale item, you wish to grasp the sale worth and also the discount proportion. The calculations embody an easy formula that divides the sale worth by the results of one minus the discount in proportion form.
Main body:
Let the original price of desk be x.
After sale price of desk - $280.80
According to question, 36% of original price is what kevin bought it for.
So the equation formed is,
⇒36% of x = 280.80
⇒0.36*x = 280.80
⇒x = 280.80/ 0.36
⇒x = $780
Hence the original price of desk is $780.
To know more about original price click on the link below
https://brainly.com/question/26357091
#SPJ1
Zahara constructs 5 mirror frames in 30 minutes. At that rate, how many mirror frames can Zahara make in 9 hours
Please help!!
Answers
Answer:
90
Step-by-step explanation:
I believe it is 90 because when you take 30 minutes plus 30 minutes that makes 1 hour, and when you take 5 plus 5 equals 10. So, that means 10 every hour. So 10 times 9 is 90. Which gives you the answer of 90 mirror frames.
Because if it takes 30 minutes for 5 then in one hour you get 10 and 10 times 9 is ninety
The ______ sum of squares measures the variability of the observed values around their respective
treatment means
error
Answers
The variability of a observed values all around respective treatment means is measured by the "error" sum of squares.
Explain the term error sum of squares?SSE, also referred to as residual sum of squares, stands for sum of squares error. It is the discrepancy between the actual value and the value projected.
The product of a score's deviation from the mean and this same difference. The amount of variance in the dependent variable which can be affected by the independent is reflected with in denominator of a F ratio in a variance analysis. Additionally known as residual sum of squares and sum of squared errors (SSE).Thus, the variance of the observed values surrounding the means of the corresponding treatments is measured by the "error" sum of squares.
To know more about the error sum of squares, here
https://brainly.com/question/28046641
#SPJ4
The correct question is-
The ______ sum of squares measures the variability of the observed values around their respective treatment means.