Let's start by drawing the figure:
The sum of the angles of a triangle always equals 180°, then we can express the equation:
mAs you can see, the pair of angles
mmmm
Now that we know that m
m(192 -4x)° + (x + 16)° + (x+10)° = 180°
We can solve for x, from this equation, like this:
(192 -4x)° + (x + 16)° + (x+10)° = 180°
192 + 16 + 10 - 4x + x + x =180°
218 - 2x = 180°
2x = 218 - 180
2x = 38
x = 38/2
x = 19
Now that we know the value of x, we can replace it into the formula of mmm
Then, the measure of the angle
Greatest common factor of 30 and 75
Step-by-step explanation:
The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.
Answer:
the Greatest common factor of 30 and 75 is 15
Step-by-step explanation:
The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.
What is the range of f(x) = -62*?
O A. y< 1
OB. y<0
O C. y> 0
O D. All real numbers
Answer:
D. all real numbers
Step-by-step explanation:
i think this is the answer sorry if you get it wrong.
What is the value of n 8n-5=139
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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A price floor of $25 per unit will result in a ?
Answer:
HI INEED HELP TOO
Step-by-step explanation:
In a warehouse, there are 2 robots that work together. They move in the same direction concurrently, so if one moves North, they both North. The robots will follow any instructions they’re given and will collect any objects they find along the way. They only take instructions by the points of the compass and can only move in 4 directions (N, E, S, W).
For example, if the 2 robots are given the directions: “N, E, S”, then Robot A will collect a ball and Robot B will collect a hat.
Write the directions the robots would need to follow to collect the following objects, remembering that both robots get the same directions, and assuming that for each question they start off in the same (pictured above) positions:
1. Robot A: ball Robot B: ball
2. Robot A: hat, ball Robot B: box, hat
3. Robot A: ball, ball Robot B: hat, ball
1. For collecting balls by both Robot A and B the direction will be N->E->E
2. For collecting hat and ball by Robot A and box and hat by Robot B, the direction will be N->N->S->E->E
3. For collecting both the balls by Robot A and a hat and ball by Robot B, the direction will be E->E->N
The direction that both Robot A and Robot B can take are N, E, S and W
For Part 1:
Robot A and Robot B need to collect the ball which is in the 2nd row 5th column for Robot A and 4th row 3rd column for Robot B, therefore the direction will be:
=N->E->E
For Part 2:
Robot A needs to collect a hat and ball which are in the 1st-row third column and 2nd row 5th column respectively. Robot B needs to collect a box and a hat which are in the 3rd row 1st column and 4th row 3rd column respectively. Therefore, the direction will be:
= N->N->S->E->E
For Part 3:
Robot A needs to collect both the balls which are in the 3rd-row 4th column and 2nd row 5th column respectively. Robot B needs to collect a hat and a ball which are in the 5th row and 2nd column & 4th row 3rd column respectively. Therefore, the directions will be:
= E->E->N
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How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
Write an equation for each line in slope-intercept form.
Answer:
y = x + 7
Step-by-step explanation:
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Looking at the graph, we can see that the line intersects the y-axis at y = 7. So 7 would be our y-intercept.
To find the slope, we would divide the rise of the line by the run. Or m = rise/run. From looking at the graph, we can see that for every 1 unit the line moves in the x-direction, the line moves in the y-direction by 1 unit. Therefore, the rise would be 1 and the run would be 1. 1/1 = 1 so the slope of the line would be 1.
Plugging in 7 for b and 1 for m into the equation for the slope-intercept form, we get:
y = x + 7
So that would be the equation for the line in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
What is the angles to this
Answer:
AA
Step-by-step explanation:
cus it can't be the other cus there is no side
Help me with this please quick !!!
Answer:
Yes this is a function
Step-by-step explanation:
The reason is every input only has one output. So what you look for is if there are two arrows coming from the left side and each arrow points to a different number, then that is not a function, because its basically saying if you "plug in" one number you'll get a different number each time. Which is not a function. Each number must have one arrow, and if it has two, it must be pointing to the same number each time for it to be a function.
I hope this helped :)
Noah and Andre are 15 miles apart on a bike path when they start biking toward each other . Noah rides at a constant speed of 4 miles per hour ,and Andre rides at a constant speed of 2 miles per hour . How long does it take until Noah and Andre meet?
Answer:
jbejrnejnerbejdnedn
Step-by-step explanation:
njr3nirn3jrnmrn3kjrn3rj
rnheufenuenjebef\
kejirnrejfe
fjeifne
It takes Noah and Andre two and a half hours to meet.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Noah and Andre are 15 miles apart on a bike path when they start biking toward each other .
Noah rides at a constant speed of 4 miles per hour ,and Andre rides at a constant speed of 2 miles per hour .
We have to find how long does it take until Noah and Andre meet
4x+2x=15
6x=15
Divide both sides by 6
x=15/6
x=5/2=2.5
It would take 2.5 hours long to both meet.
Hence, It takes Noah and Andre two and a half hours to meet.
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PLEASE ANSWER BOTH QUESTIONS!
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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What is the correct soulution to the expression 3+5^2
Answer:
28
Step-by-step explanation:
Pemdas: do the 5^2 operation first
5^2 is 25
25+3=28
Answer:
28
Step-by-step explanation:
5^2=25 (5*5=25)
25+3=28
Who is life insurance best suited for?
A. College students
B. Children
C. People with debt
D. Doctors
SUBMIT
Answer:
People with dependents
Step-by-step explanation:
AP3X
The explicit formula for a geometric sequence is an=3(-2)n-1. What is the fifth term of the sequence
9514 1404 393
Answer:
a5 = 48
Step-by-step explanation:
To find the 5th term, put 5 where n is in the formula and do the arithmetic.
\(a_5=3(-2)^{5-1}=3(-2)^4=3(16)\\\\\boxed{a_5=48}\)
Answer:
the answer is
a5=48
Step-by-step explanation:
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Jordana was shown this diagram of an isosceles trapezoid and its reduction. She was asked to find the perimeter of the
reduced trapezoid. Her work is shown below.
30 cm
A
12 cm
4 cm
B
36 cm
Figures not drawn to scale.
Scale factor
Jordana's Work
4.
123
Side A
30x3 =10
Side B
30 x
10
3
Perimeter
10+ 10+4+4 = 28
The question is unclear to me, 30x3=10 WHAT, 30x3=90 not 10
And also it seems you already know the answer Perimeter=28cm
Answer:
C.
Step-by-step explanation:
Jordana made a mistake when she calculated the length of side B.
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
Need help really please
-2y sqaured + 1
Step-by-step explanation:
the terms are the ys and u need to add em so meaning -3+1 is -2 put the ys in being -2y
Last week Lisa ran 34 miles. less than
Shanice. Lisa ran 8 miles.. How many
miles did Shanice run?
Answer:
Shanice ran 42 miles.
Step-by-step explanation:
4/3 divided by 11/12 whats the answer
Answer:
16/11 is the answer to this.
Help please I really need help ?!!
Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously
Answer:
6090
Step-by-step explanation:
Help please. its for a math homework
9514 1404 393
Answer:
y = -3x +4
Step-by-step explanation:
The hint tells you the slope stays the same. Every point moves to 2 times its original distance from the origin. So, the new y-intercept will be (+2)(2) = +4. The dilated line is ...
y = -3x +4
there are 12 dozen pencils in a gross. how many pencils are in 15 gross
Answer:
A gross refers to a group of 144 items (a dozen or a square dozen, 122). A great gross refers to a group of 1728 items (a dozen gross or a cubic dozen, 123). A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12).
Help please !!! Need help
Answer:
234
Step-by-step explanation:
From the given information :
The 4th term, a4
a1 = 3
a2 = 4(a1) + 2
a2 = 4(3) + 2 = 14
a3 = 4(a2) + 2
a3 = 4(14) + 2
a3 = 58
a4 = 4a3 + 2
a4 = 4(58) + 2
a4 = 232 + 2
a4 = 234
Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...
a = 8, r = 2
a = 8, r = 8
a = 8, r = 4
a = 32, r= 1
Step-by-step explanation:
hope it helps you see the attachment for further information
by selling an article for #2500 a trader made a profit of #200.find the percentage profit of the article.
Answer:
I'm going to assume the # is meant $, if that is the case then the trader made 8% profit
Step-by-step explanation:
200 out of 2500 is basically 200/2500. 200 divided by 2500 is 0.08, and to find the percent of a number you have to multiply it by ten (or just move the decimal two places to the right) 0.08 multiplied by 10 would give you 8, so the answer is 8 percent. Hope this helps!
can some one please help me with this.
3 1⁄8 − 1 7⁄8 =
Answer:
1 2/8
Step-by-step explanation:
3 1/8 = 25/8
25/8 - 15/8 = 10/8 = 1 2/8
Find all values of m for which the equation has two real solutions.
3x² + 7x- (m + 1) = 0