Answers
Answer:
x = 158
y = 22
Step-by-step explanation:
A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.
70 + 88 = 158
180 - 158 = 22
y = 22 degrees
Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.
180 - 22 = 158
x = 158 degrees
Related Questions
What is the slope for this table?
Give an explanation.
Answers
Answer:
the shape of the graph is a vertical straight line. So the angle is 90°
So tan 90° = infinite
Answer: The slope is undefined.
Step-by-step explanation:
The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points. X is not changing even as y goes from -2 to 8. If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o. Rise/Run therefore becomes 10/0. Division by 0 is undefined in math, so the slope is undefined.
This is a straight vertical line going through x = -1. All y's are on this line. Undefined slope.
Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?
Answers
The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291[tex]\overline 6[/tex]Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]
= $12,735.291[tex]\overline 6[/tex]
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A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0. 55. What is the probability of success on trial 11?.
Answers
Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as; p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial. Therefore, the probability of failure in the 11th trial is 0.16.
Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16
An airplane flies with a constant speed of 768 km/h. How far can it travel in 50 minutes
Answers
Answer:840 km/h divided by 60 = 14km/min
3 x 60 = 180
180 + 20 = 200 minutes total
14 x 200 = 2800km
that is a really awkward way of doing it though. really you can just do:
840 x (10/3) = 2800km
Step-by-step explanation:
During May, Andy had cash inflows of $550, $40, $65, and $80. He had cash outflows of $10, $30, $60, $25, $100, and $250. What is Andy’s net cash flow?
PLEASE HELP ME I DON'T KNOW WHAT THE ANSWER IS
Answers
Answer:
positive 260
Step-by-step explanation:
add the cash inflows
550+40+65+80 = 735
add the outflows
10+30+60+25+100+250 = 475
then substract the outflows from the inflows
735-475 = 260
So Andy's net cash flow is positive 260
Please consider marking this answer as brainliest if it helped you. Thanks!
Andy’s net cash flow is $260.
Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Total cash inflow
= 550+40+65+80
= $735
Total cash outflow
= 10+30+60+25+100+250
= $475
So, net cash flow =735-475
= $260
Therefore, Andy’s net cash flow is $260.
Learn more about the subtraction here:
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x+6=0
3x-2y = 10
simultaneous equations
Answers
3(-6)-2y=10
-18-2y=10
2y=10+18
2y=28
Y=28/2
Y=14
X+6=0
X=0-6
X=-6
3x-2y=10
2y=3x-10
Find the slope of the line that passes through (7,1) and (6,8)
Answers
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
answer the three questions pls
Answers
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents
Estimate 22,752 divdided by 18 , I'm doing a lot tonight, have 10 assesments due tom
Answers
Answer:
1264
Step-by-step explanation:
is the answer...........
help ? yes ? no ? maybe ?
Answers
Answer:
They are proportional
Step-by-step explanation:
Proportionality:
They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.
Graphing:
Go to the 2 on the x-axis (horizontal line)
Go up to the 20 on the y-axis (vertical line)
The points to graph are:
(2,20)
(4,30)
(6,40)
(8,50)
I put a pic of what your graph should look like below!
Answer:
To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.
Step-by-step explanation:
right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent
Answers
Answer: The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
Answers
Answer:
Step-by-step explanation:
4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5
Answers
Answer:
C. 2
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 2 )
r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
Answers
Answer:
im not sure ask siri
Step-by-step explanation:
she knows everything
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answers
Answer:
x=-2/3
Step-by-step explanation:
a rule in a relation in which each input is paired with, or assigned to, exactly one output.
Answers
Answer:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Step-by-step explanation:
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answers
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
To learn more about the volume;
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The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches
Answers
Answer:
30=2(10 x w)
Step-by-step explanation:
P=2(l x w)
Perimeter(P) equals two times length(l) times width(w)
Hope this helps
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
Answers
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
Learn more on AP here: https://brainly.com/question/24072079
Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
Please helppppp
Reagan solved 5.25 = 5 and got 105. What did Reagan do wrong?
Answers
Answer:
He did not simplify correctly and forgot to place the decimal point correctly.
Step-by-step explanation:
To simplify the equation, one needs to divide both sides of the equal sign by 5.
i.e 5.25/5=5/5
Here we find 1.05=1
Note the placement of the decimal point.
1/243 as an expression using a negative exponent other than -1
Answers
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
Please help me with this
Answers
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
Give one example of an urban area and one example of a rural area.
Answers
Answer:
An urban area would be New York City, a rural area would be a small town in western Kansas.
Step-by-step explanation:
Me podrian ayudar con estas equaciones de 2º grado pliss?
[tex]x^{2} +2x-15=0[/tex]
[tex]x^{2} -4x- 12=0[/tex]
Thankss
Answers
Step-by-step explanation:
Las ecuaciones dadas son ,
=> x² + 2x -15 = 0
Y necesitamos encontrar la solución de la Ecuación dada.
=> x² + 5x -3x -15 = 0
=> x(x+5) -3(x+15) = 0
=> (x+5)(x-3) = 0
=> x = 3,-5
La segunda ecuación es,
=> x² -4x -12 = 0
=> x² -6x+2x-12=0
=> x(x-6)+2(x-6) = 0
=> (x+2)(x-6) = 0
=> x = 6,-2
Espero eso ayude :)
i need this answer answered for me asap
Answers
Answer: i think it's A or D
Step-by-step explanation:
Answer:
A) x > -6
Step-by-step explanation:
X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.
I need help with question 5
Answers
Answer:Hi!
where is the question?
Step-by-step explanation:
Which graph is right?
Answers
Answer:The first option is correct
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[
yefgfsugsuifdsgsdhgsfjhdgjdhgskhb
Write the prime factorization of 315.
315 =
(TRY TO ANSWER THIS WHILE UR AT IT PLS?
Answers
Answer:
315 = 3^2 × 5^1 × 7^1
Step-by-step explanation:
What is 2 and 2/3 x 5
Answers
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?
Answers
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
Answer:293
Step-by-step explanation:
720-719= 1
1+292= 293