1 .If m∠SUT = 3x + 6 and m∠RUS = 5x – 4, find x
2.If m∠SUT = 3x + 6 and m∠RUS = 5x – 4, find m∠SUT.
same pic for both
*
Answers
Answer:
1.If you are to check the figure you will find that it is a rectangles. You should know the properties of a rectangle.
we are goin to use the property: Each vertex of a rectangle has angle equal to 90 degreesmeaning since m∠SUT and m∠ RUS form the vertex when added they give 90°3x+6+(5x-4)=90°
3x+5x+6°-4°=90°
8x+2°=90°
8x=90°-2°
8x=8°
[tex]\frac{8x}{8} =\frac{88}{8} \\x=11[/tex]
2.m ∠SUT is donated by 3x+6
and now we know the value of x=11°
m∠SUT=3(11°)+6
m∠SUT=33°+6°
m∠SUT=39°
Related Questions
ANSWER ALL WITH THE NUMBER LABELED:))
Answers
8. (-6,9)
9. No solution
The grid above shows the graph of the parent function
f(x)=|x|
and a translated functions graph.
Write the equation for the translated graph.
Ps: please only answer if you can explain it/help me understand it.
Answers
The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|
Which equations can be used to represent the given graphs?The given parent function is; f(x) = |x|
From the parent function, we have;
When x = 0, f(0) = 0
The graph of the parent function is therefore the red graph.
The location of the vertex of the translated graph is at (x - 2, y + 1)
Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;
(x, y) → (x - 2, y + 1)
Therefore in the image, the coordinates of y = x + 3
Which gives the equation for the translated graph as; y = |x + 3|
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2|x+7|=18
explain steps
Answers
Answer:
x=2
Step-by-step explanation:
2x+14=18
2x=18-14
2x=4
x=4/2=2
x=2
hope u understand
Correlation coefficient: If the correlation coefficient for a given scatterplot is r = -0.81, which of the following must be true about the relationship between the explanatory and response variable?
A) The association has a linear form.
B) The association must be positive.
C) The slope must be negative.
D) The association is weakened by outliers.
Answers
Answer:
C) The slope must be negative.
Step-by-step explanation:
Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y
Here correlation coefficient is r = -0.81
Since it is negative, that means the slope of least-squares regression line will be negative
Answer:
C. The slope must be negative.
Step-by-step explanation:
The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.
If you could exactly afford either 2 units of x and 7 units of y, or 4 units of x and 3 units of y, then if you spent all of your income on y, how many units of y could you buy?
Answers
Answer:
11 units of y
Step-by-step explanation:
Let total income be I
We have the two equations
2x + 7y = I (1) (exactly afford 2 units of x and 7 units of y)
4x + 3y = I (2) (exactly afford 42 units of x and 3 units of y)
Multiply (1) by 2
==> 2(2x + 7y) = 2 x I
==> 4x + 14y = 2I (3)
Subtract (2) from (3)
(3) - (2)
==> 4x + 14y - (4x + 3y) = 2I - I
==> 4x + 14y - 4x - 3y = 2I
==> 14y - 3y = I (x terms cancel)
==> 11y = I
This represents an equation where if you buy 11 units of y, it will be your whole income
Answer: 11 units of y
Suppose that between the ages of 22 and 40, you contribute $3000 per year to a 401(k) and your employer contributes $1500 per year on your behalf. The interest rate is 8.3% compounded annually.
a.) What is the value of the 401(k) rounded to the nearest dollar after 18 years?
b.)Suppose that after 18 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money to the nearest dollar, will you have in the plan when you reach 65?
c.) What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
Answers
The value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724
As per the given information, you contribute $3000 p.a. and your employer contributes $1500 p.a. to a 401(k)
So, the total amount contributed for 401(k) = $3000+$1500 = $4500 p.a.
This is a case of annuity because fixed amount is contributed each year.
Future value of an annuity is given by a formula = a [tex]\frac{(1+i)^{n} -1}{i}[/tex]
Where, a = annuity = $4500
i = rate of interest = 8.3% p.a. or 0.083
n = no. of years or periods = 18
Now, substituting the values in the formula,
FV of Annuity = 4500 [tex]\frac{( 1+ 0.083)^{18}-1 }{0.083}[/tex]
= 4500 [tex]\frac{4.2006 - 1}{0.083}[/tex]
= 4500 × 38.5614
= 173526.3
The future value of 401(K) after 18 years is $173,526
Now, After 40 years no contributions are made to the funds. Therefore, the future value at age 65 (after 25 years):
By applying compound interest formula, the future value = p × [tex](1+i)^{n}[/tex]
Here, p = present value or principal amount = $184,036
i = rate of interest = 8.9% or 0.089
n = no. of years or periods = 25
Substituting the values:
Future value = $173526 × [tex](1+0.083)^{25}[/tex]
= 173526 × 7.34025
= 1273724.22
You will have $1,273,424 in the plan at age 65.
Now, The difference between the amount of money you will have accumulated ate the age of 65 and the amount you
contributed (for 18years) in the plan = $1,550,956 – ($4500×18)
= $1273724 - $81000
= $1,192,724
Hence, the value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724
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1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function f is:
f(x)= x^2
Use function notation to write g in terms of f.
Answers
Step-by-step explanation:
if [tex]f(x) = {x}^{2} [/tex]g(x)=f(x) +6 is the solution!
Find the value of x when 5 - x = 12x + 4
Answers
Answer:
5-4=12x+x
1=13x
1/13=×
For the function f, construct and simpli
1) f(x)=9x+2
Pre-Calc
Answers
Answer:
For the function f(x) = 9x f(x + h) - f(x) construct and simplify the difference quotient h 3 1 The difference quotient for f(x) = is 9x
Step-by-step explanation:
Points: 0 of T
Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD
costing $16.88. She spent $78.61 on the gifts. How many videos and how many CDs did she buy?
...
Save
Answers
The number of videos will be 3 and the number of CDs will be 2.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $78.61 on the gifts.
The number of the videos and CD will be calculated by forming an equation:-
14.95x + 16.88y = 78.61
From heat and trial, we put x = 3 and y = 2 then calculate.
14.95 x ( 3 ) + 16.88 x ( 2 ) = 78.61
44.85 + 33.76 = 78.61
78.61 = 78.61
Therefore, the number of videos will be 3 and the number of CDs will be 2.
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What is the equation of the line that passes through the point (-1,8) and has a slope of −6?
Answers
Answer:
y=-6x+2
Step-by-step explanation:
we know the slope is -6
at -1 it should be at 6
to get 6 to 8 add 2
The following frequency table summarizes the number of children that dads in Dads Club have.
Number of children Number of members
111 666
222 444
333 888
444 111
555 111
Based on this data, what is a reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children?
Answers
The reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children is 50%.
How to illustrate the information?Number of children for 333 = 111 members
It should be noted that the total members is illustrated as:
= 666 + 111 + 111 + 888
= 1776
Therefore, the reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children:
= 888 / 1776
= 50%.
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what is the rules of rounding errors
Answers
Answer: Rounding error is the difference between a rounded-off numerical value and the actual value. A rounded quantity is represented by a numeral with a fixed number of allowed digits, with the last digit set to the value that produces the smallest difference between the rounded quantity and the actual quantity.
Beth rode 45,000 feet on her bike, and Cayden rode 2.5 x 104 ft on his bike. Did Beth or Cayden
ride FURTHEST and by how many feet?
Answers
2.5 • 104 = 260 feet
Beth rode her bike farther.
45,000 - 260 = 44,740
Beth rode her bike farther by 44,740 feet.
The graph of function f(x) is shown below. At which value of x is the slope of the tangent line to the curve equal to 0?
Answers
The slope of the tangent is equal to zero when the derivative is equal to zero, in other words when the function attains a local extremum (maximum or minimum)
So we have to ask ourselves, at which "x" value does f(x) admit a maximum or minimum.
From the graph we can tell that it is at the point of abscissa 2
Answer: x=2Points: 0 of 1
A jet plane traveling at 500 mph overlakes a propeller plane traveling at 150 mph that had a 3-hour head start. How far from the starting point are the planes?
1
The planes are miles from the starting point.
(Simplify your answer. Type an integer, fraction, or mixed number.)
Answers
Answer:39
Step-by-step explanation:
njhhvhj
tell whether -5 is a solution of the inequities
1. b+6 > 1
Answers
Answer: False, not a solution because 1 is not greater than 1.
Step-by-step explanation:
Original Equation: b + 6 > 1
[plug in -5 for b] -5 + 6 > 1
[reduce] 1 > 1
One is not greater than one, therefore, it is false.
Find slope of the line
Answers
The slope of the line having the points ( -1 , 8 ) and ( 8 , 9 ) is 1 / 9.
We are given the two points:
( -1 , 8 ) and ( 8 , 9 )
We need to find the slope of the line that contains these two points.
We know that the formula for calculating the slope of the line is given by:
m = y₂ - y₁ / x₂ - x₁
Here, we have:
x₁ = - 1 y₁ = 8
x₂ = 8 y₂ = 9
Substituting the values in the formula, we get that:
m = 9 - 8 / 8 + 1
m = 1 / 9
Therefore, the slope of the line having the points ( -1 , 8 ) and ( 8 , 9 ) is 1 / 9.
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Ab’s a midpoint. Find the value of x.
Answers
Answer:
b) x=25
Step-by-step explanation:
If B is a midpoint, then segments AB and BC should be equal to each other.
Then you can make an equation making both segments equal to one another:
2x-8=x+17
2x-x=17+8
x=25
If x=2 and y =3 what is the value of 2x^3 +5-10
Answers
Answer: 11
2x^3 + 5 - 10 =
2(2)^3 + 5 - 10 =
2(8) - 5=
16-5=11
Step-by-step explanation:
How do you do number 10? I got it wrong and is the only one I'm stuck on. PLEASE HELP, thanks!
Answers
Answer:
[tex]x=\frac{3\left(-y+6\right)}{7}[/tex]
Step-by-step explanation:
[tex]14x+6y-6y=36-6y\\14x=36-6y\\Divide\\\frac{14x}{14}=\frac{36}{14}-\frac{6y}{14}\\\frac{14x}{14}\\\frac{14}{14}= 1\\\frac{36}{14}-\frac{6y}{14}\\\frac{36-6y}{14}\\36-6y\\6\cdot \:6-6y\\=6\left(6-y\right)\\=\frac{6\left(6-y\right)}{14}\\=\frac{3\left(-y+6\right)}{7}[/tex]
Hope this helps you, and I hope that you get un-stuck! Have a good day.
i hope this helps you
have a nice day
jimmy had a balance of -$176 in his bank account. After he deposited $500 into his account, what was Jimmy's new balance
Answers
The new balance in Jimmy's account is 324.
What does account mean in math?An account is a record that records financial transactions concerning a specific asset, liability, equity, revenue, or expense in an accounting system. As the business events take place throughout the course of the accounting period, these records grow and shrink. The general ledger stores each individual account and is used to create financial statements at the end of an accounting period.
ACCORDING TO GIVEN STATEMENT;
Jimmy had a deposited amount of $500
minus $176, per the information provided;
his new balance is $500 minus $176,
= $324.
The new balance in Jimmy's account is 324.
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Elimination Method
Use the elimination method to solve the system of equations below.
0.12
x
−
0.09
y
=
0.45
−
0.3
x
+
1.6
y
=
8.5
Choose one • 4 points
x
=
−
15
y
=
7
x
=
5
y
=
7
x
=
9
y
=
5
x
=
9
Answers
The correct option D. x = 9, y = 7; obtained by the elimination method.
What is defined as the elimination method?The elimination method entails the procedure of eliminating a single variables in a system of linear equations by using addition or subtraction methods in combination with variable coefficient multiplication or division.Now, as per the given question;
The equations are-
0.12x − 0.09y = 0.45 (multiply both side with 100)
12x - 9y = 45 ......equation 1
and,
-0.3x + 1.6y = 8.5 (multiply both side with 40)
-12x + 64y = 340 .......equation 2
Add equation 1 and 2;
55y = 385
y = 5
Put y = 5 in equation 1
12x = 45 + 45
x = 9
Thus, the values of the variables are obtained as (x = 9) and ( y = 7).
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The correct question is-
Use the elimination method to solve the system of equations below.
0.12x − 0.09y = 0.45
-0.3x + 1.6y = 8.5
Choose one • 4 points
A. x = −15, y = 7
B. x = 5, y = 7
C. x = 9, y = 5
D. x = 9, y = 7
3. Which of the following is not a rational number?
A) 2.4819327451.....
B) √25
C) 9.1
D) V512
Answers
(D) V512 is not a rational number.
What are rational numbers?A rational number is any number that can be written as a fraction and has both the numerator (the top number) and the denominator (the bottom number) being integers and not equal to zero. In other words, a rational number is p/q, where p and q are both integers and q = 0. A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.Since, numbers in options (A), (B), and (C) can be written in fractions, then these numbers are rational numbers.
V512 cannot be written in fractions as we don't know what V is.So, V512 is not rational.Therefore, (D) V512 is not a rational number.
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Find the standard deviation and variance for the following data. These are the heights (cm) of 5
students from a class of 30.
162, 166, 179, 170, 175.
Answers
The standard deviation is 6.09
The variance is 37.04.
What is the standard deviation and variance?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.
In order to determine the standard deviation, take the following steps:
Determine the mean of the observation: (162 + 166 + 179 + 170 + 175) / 5 = 170.40Determine the difference between each value and the mean and then square the result:(162 - 170.40)² + (166- 170.40)² + (179 - 170.40)² + (170 - 170.40)² + (175 - 170.40)²
70.56 + 19.36 + 73.96 + 0.16 + 21.16 = 185.20
Determine the mean of the sum of the squared differences and then find the square root of the mean:√185.20 / 5 = 6.09
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset.
6.09² = 37.04
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During each shift, there are nurses needed at each ward. If
there are three shifts in a day, each nurse only can be on duty
for one shift each day. How many more nurses does the
hospital need to employ?
Answers
The hospital needs to employ 21 nurses, 7 for each shift.
What are permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected, generally without replacement, to form subsets. When the order of selection is a factor, this selection of subsets is called a permutation; when order is not a factor, it is called a combination.So, there are 3 shifts in a day and 7 nurses are needed for each shift.
Then,
7 × 3 = 21Therefore, 21 nurses are needed, 7 for each shift.
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The complete question is given below:
During each shift, there are 7 nurses needed at each ward. If there are three shifts in a day, each nurse only can be on duty for one shift each day. How many more nurses does the hospital need to employ?
A rental truck costs $53.45 for a day plus 69€ per mile.
(a) If x is the number of miles driven, write an expression for the total cost C, in dollars, of renting the truck for a day.
C=
Answers
Total cost is $ 11,369.45
Rental truck costs $53.45 for a day $69 per mile.
a) If x is the number of miles driven
So, c(x)=53.45+69(x)
c=53.45+69x
b) If x=164 miles
c=53.45+164
c=53.45+11,316
c=$11369.45
∴Total cost is $11,369.45
What does number of miles mean?
the aggregate number of miles traveled over in a given time. length, extent, or distance in miles. the number of miles or the average distance that a vehicle can travel on a specified quantity of fuel: the car gets good mileage.
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solve. what would be the points on a coordinate plane
y + 1/3x=4
Answers
The coordinate points on the line plotted satisfy the equation -
y + 1/3x = 4.
We have the equation of a straight line.
We have to find the coordinates that satisfy this equation.
What is the general equation of a straight line ?The general equation of straight line is -
y = mx + c
According to the question -
y + 1/3x=4
y = - (1/3)x + 4
Comparing it with general equation of line, we get -
m = - 1/3 and c = 4
Now, we will plot the line on graph -
All the coordinate points that are present on this line satisfy the equation of line. The graph extends in both the direction along the x - axis.
Hence, the coordinate points on the line plotted satisfy the equation
y + 1/3x = 4.
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calculate the slope between the two points (6, 5) and (2, 13).
A. zero
B. undefined
C. -2
D. 10
Answers
Answer:
M= -2
Step-by-step explanation:
13-5=8
2-6=-4
8/-4= -2
The formula for slope is Y2-Y1/X2-X1.
so in this case it would be 13-5 divided by 2-6.
How many ounces are in 10 pints
Answers
Answer: 160 ounces
Step-by-step explanation:
1 pint=16 ounces
10 pints * 16 ounces/1 pint=
10*16/1=
10*16=160 ounces
Answer:
192.152
Step-by-step explanation:
there in us ounces
