Answers
X= 130°
Step-by-step explanation:
From E, draw EF || AB || CD.
Now, EF || CD and CE is the transversal.
So; <DCE + <CEF = 180° [co. int. <s]
x° + <CEF = 180°
<CEF = (180° – x°).
Again, EF || AB and AE is the transversal.
So; <BAE + <AEF = 180° 01 [co. int. <s ]
105° + <AEC+ <CEF = 180°
105° +25° + (180° – x°) = 180°
x° = 130°
I hope I helped you^_^
Related Questions
what integer best represents that the temperature outside increased by 12°F?
I WILL APPRECIATE
Answers
Answer:
-11.11*C
Step-by-step explanation:
12°F − 32) × 5/9 = -11.11*C
A 7-pound box of grapes costs $30.24. What is the price per ounce?
Answers
Which is equivalent to (2 x
5)^4
Answers
Answer:
10000
Step-by-step explanation:
2*5=10
10^4=10*10*10*10=10000
loan payments of 1725 due today, 510 due in 75 days and 655 due in 323 days are to be combined into single 115 days.wgat is the single.payment if money is worth 8.5% and focal date 115 days
Answers
The single payment would be $ 2,909.18.
Since loan payments of $ 1725 due today, $ 510 due in 75 days and $ 655 due in 323 days are to be combined into a single payment in 115 days, to determine what is the single payment if money is worth 8.5% and focal date is 115 days the following calculation must be made, offsetting the days in advance with the days in which the payment is late:
8.5 / 365 x 115 = 2.6780 8.5 / 365 x (115 - 75) = 0.9315 8.5 / 365 x (115 - 323) = -4.8438 (1725 x 1.02678) + (510 x 1.009315) + (655 x (1 - 0.048438) = X 1,771.20 + 514.75 + 655 x 0.9515 = X 2,285.95 + 623.23 = X 2,909.18 = XTherefore, the single payment would be $ 2,909.18.
Learn more in https://brainly.com/question/15274886
Answer:
Step-by-step explanation:
since loan payments of $1725 due today. $510 due in 75 days and $655 due in 323 days are to be combined into single payment in 115 days.
now,
First, we need to calculate the present value of each payment using the given interest rate and the focal date of 115 days from now.
formula
The formula to calculate the single payment due 115 days from now is:
Single Payment = (PV1 / (1 + r1*(t1/365))) + (PV2 / (1 + r2*(t2/365))) + (PV3 / (1 + r3*(t3/365))) / (1 + r4*(t4/365))
Where:
- PV1, PV2, and PV3 are the present values of the three payments due today, in 75 days, and in 323 days, respectively.
- r1, r2, and r3 are the interest rates for each payment period.
- t1, t2, and t3 are the time periods in days between the payment due date and the focal date of 115 days from now.
- r4 is the interest rate for the period between the focal date and the payment due date of the single payment.
- t4 is the time period in days between the focal date and the payment due date of the single payment.
The present value of the payment due today is:
PV1 = 1725 / (1 + 0.085*(115/365)) = $1666.27
The present value of the payment due in 75 days is:
PV2 = 510 / (1 + 0.085*(75/365)) = $496.16
The present value of the payment due in 323 days is:
PV3 = 655 / (1 + 0.085*(323/365)) = $585.92
Next, we add up the present values of the three payments to get the total present value:
PV = PV1 + PV2 + PV3 = $2748.35
Finally, we calculate the single payment due 115 days from now by discounting the total present value to the focal date of 115 days from now:
Single Payment = PV / (1 + 0.085*(115/365)) = $2909.18
Therefore, the single payment due 115 days from now is $2909.18.
(3.0x10^-1)-(1.4x10^-3)
Answers
Answer:
.2986
Step-by-step explanation:
( .3 ) - ( . 0014 ) = .2986
Answer:
here u go
Step-by-step explanation:
0.2986x
The mean length of 7 planks of wood is 1.35m. When an extra plank of wood is added, the mean length of a plank of wood increase to 1.4m. the length of the extra plank of wood that was added is Select one a. 2. 4 b. 1 C. 1.25 d. 1.75V
Answers
Answer: Hello There!................
Mean = Sum of observation / total number of observation
Mean = 1.35m
1.35 = Sum of length of 7 wood planks/ 7
1.35*7 = Sum of the length of 7 wood planks
9.45 = Sum of the length of 7 wood planks
Let the length of extra added wood plank = x
So,
(Sum of the length of 7 wood planks + x) / 8 = 1.4m
(9.45 + x) / 8 = 1.4
9.45 + x = 1.4 * 8
9.45 + x = 11.2
x = 11.2- 9.45
= 1.75
So,
The length of extra added wood plank = 1.75m
Step-by-step explanation:
Mark me brainest please. Hope this helps. Anna ♥
Easy question:
Two ends of a line have coordinates (-6,10) and (2,2). What are the coordinates of the midpoint of the line?
Answers
Answer:
midpoint = (-2 , 6)
Step-by-step explanation:
The midpoint can be found with the formula {(x1 + x2 )/2, (y1 + y2.) P1( x1 , y1 ), and P2 (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
Answers
$81.53 is the cost of nut-raisin mix
At the gift shop they sell small grettong card and large greeting cards. The cost of small ones are 1.80 and the cost of large ones are 4.40. How much does it cost to get 5 small ones
Answers
Answer:
$9
Step-by-step explanation:
Since the question only asks for small ones, we only need to focus on 1.80 and 5. Multiple them. 1.80×5 and we get 9. 1.80×5=9
solve for x 3x-2(-x+9)=2+5
Answers
Answer:
x = 5
Step-by-step explanation:
To find the value of x
3x-2(-x+9)=2+5
3x +2x -18 = 7
5x = 7 +18
5x = 25
x = 25/5
x = 5
HELP PLEASE
here’s the picture
Answers
2)-5-2x=y
3)5/2-x/2=y
Hope this helps
The y-Int and the slope of C=7n+20
If you can show the formula
Answers
Madeline drew a grid of 5 cells in a row.
4.88 4.86 4.84 4.82
Explain how you can use structure to find the missing decimal.
A.) moving left, to right the whole number stays the same and the tenths decrease by 2
B.) Moving left to right, the whole number stays the same and the hundredths decrease by 1.
C.) Moving left to right, the whole number stays the same, the tenths decrease by 1, and the hundredths decrease by 2.
D.) moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Answers
Answer:d
Step-by-step explanation:
The correct option is D.
Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Given,
4.88 4.86 4.84 4.82
We need to see how the decimals are arranged with their place value.
What is the place value of decimal numbers?We have a decimal number:
13.579
The place value for each number are:
1 - tens
3 - ones
5 - tenths
7 - hundredths
9 - thousandths
We have,
4.88 4.86 4.84 4.82
We see that 4 in ones place remain the same.
8 in tenths place also remains the same.
The last digit in hundredths place is decreased by 2.
So we can say that,
Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Thus the correct option is D.
Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.
Learn more about rounding decimal place values here:
https://brainly.com/question/20563248
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A motorist drives on a state road to and from work each day and pays $3.50 on tolls one-way.
(a) Write a model for the cost for tolls C (in S) for x working days.
(b) The department of transportation has a prepaid toll program that discounts tolls for high-volume use. The motorist can buy a pass for $112 per month. How many working days are required for the motorist to save money by buying the pass?
The model for the tolls cost is C= ?
Answers
Answer:
Step-by-step explanation:
who wrote the book california cities
Answers
Answer:
Marilyn Iturri
Step-by-step explanation:
Someone answer this please
Answers
Answer:
[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]
x/3 is the right answer.check if the triangle whose sides are 10m, 6m and 8m is a right triangle
please
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Yes, the sides will make a right triangle.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We will check using the Pythagorean Theorem.⸻⸻⸻⸻
[tex]\boxed{\text{The Pythagorean Theorem}}\\\\a^2+b^2=c^2\\---------------\\\rightarrow 6^2 + 8^2 = 10^2\\\\\rightarrow 36 + 64 = 100\\\\\rightarrow \boxed{100=100}[/tex]
⸻⸻⸻⸻
The given measurements will form a right triangle.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
-3x + 6y = 18
-3x = 6y+14
a) What is the slope of the 1st equation?
b) What is the slope of the 2nd equation?
c) Are they parallel, perpendicular, or neither?
Answers
Step-by-step explanation:
-3x + 6y = 18
-3x = 6y+14
a) the slope of the 1st equation = -(-3)/6 = ½
b) the slope of the 1st equation = -3/6 = -½
c) they are niether parallel nor perpendicular
#1
-3x+6y=18-x+2y=62y=x+6y=x/2+3slope=1/2
#2
-3x=6y+146y=-3x-14y=-1/2x-7/3slope=-1/2
#3
Neither
Caroline works in her family restaurant waiting on tables. She is $8.25 per hour for all hours up to 37 in one week and then time and a half for any hours over 37 worked in one week. What would her gross earnings for a week be in which she worked 45 hours?
Answers
Answer:
404.25 dollars
Step-by-step explanation:
First, we do 8.35 times 37, and we get 305.25.
Next, we subtract 37 from 45 and get 8.
Then, we do divide 8.25 in half, and get 4.125.
After that we add 4.125 to 8.25 and get 12.375.
Then we do 12.375 times 8 and get 99
Finally, we add 99 and 305.25 together and get 404.25 dollars.
If someone could explain the error in depth and show step by step how to actually slove the problem that would be great.
Answers
Step-by-step explanation:
The first step is wrong. It claims that
[tex]\frac{9x^3}{2x^3+9}=\frac{9x^{\cancel 3}}{2x^{\cancel 3}+9}=\frac{9}{2+9}[/tex]
but it is not true. It is attempting to simplify the fraction by cancelling the x^3 terms from 9x^3 and 2x^3.
However, to perform this operation, all terms in the fraction must be divided by x^3. But this will mean
[tex]\frac{9x^3}{2x^3+9}=\frac{(9)(x^3)}{(2+\textcolor{red}{\frac{9}{x^3}})(x^3)}=\frac{9}{2+\textcolor{red}{\frac{9}{x^3}}}[/tex]
Select the choice that translates the following verbal phrase correctly to algebra:
the difference of m and 7 increased by 15
m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15
Answers
(M - 7) +15
Can someone please help me? I just need these question for finish my test.
Answers
Answer:
A. y = |x - 5| - 4
Step-by-step explanation:
The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).
The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.
y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.
y - (-4) = |x - 5|
y + 4 = |x - 5|
y = |x - 5| - 4
Answer: A. y = |x - 5| - 4
What is the image point of (4, - 7) after a translation right 4 units and up 5 units?
Answers
Answer:
( 8, - 2 )
Step-by-step explanation:
Mandy spent $75 and then earned $75.
Answers
Answer:
So that's 75$ back.....
22 sit ups in 2 days = how many sit ups on 6 day
Answers
Step-by-step explanation:
2 days=22 sit ups
1 day=22/2 sit ups
6 days=22/2×6 sit ups
=66 sit ups
Answer:
66
Step-by-step explanation:
So if someone does 22 sit ups in 2 days means they do 11 sit ups for 1 day meaning if they do it for 6 days thy did 66 sit ups
Like my art? If you do thank you very much. :3
HELP PLEASE
here’s the question
Answers
Answer:
1.9 hours
Step-by-step explanation:
7.6 divided by 4
Answer:
1 hour and 54 minutes or 1.9 hours
Step-by-step explanation:
The opposite of 50 feet below sea level
Answers
Answer:
50 ft above sea level.
Step-by-step explanation:
The exact opposite would just be 50 ft above the starting point.
Answer:
it will be 50 feet above the sea level
Find the distance between (2,3) and (-4,9). If you get a radical (square
root) answer, enter your answer as a decimal rounded to the second
decimal
Answers
Answer:
Length is 6√2 units or 8.49 units
Step-by-step explanation:
Length formular:
[tex]length = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y_{1})}^{2} } [/tex]
x1 is 2
x2 is -4
y1 is 3
y2 is 9
[tex]length = \sqrt{ {( - 4 - 2)}^{2} + {(9 - 3)}^{2} } \\ \\ = \sqrt{ {( - 6)}^{2} + {6}^{2} } \\ \\ = \sqrt{36 + 36} \\ = \sqrt{2 \times 36} \\ = \sqrt{2} \times \sqrt{36} \\ { \boxed{ \boxed{= 6 \sqrt{2} }}} \\ = 8.49 \: units[/tex]
6. One angle of a triangle is 20 degrees. The second anglers measurement is four times the
third. What is the measure of the third angle?
Answers
9514 1404 393
Answer:
32°
Step-by-step explanation:
Let x represent the measure of the third angle. Then the second angle is 4x and the total of all angles is ...
20 +4x +x = 180
5x = 160 . . . . . . . . . . subtract 20
x = 32 . . . . . . . . . . . divide by 5
The third angle measures 32°.
How do you do a negative power?
Answers
Answer:
A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)-2 can be written as (3/2)2.
Step-by-step explanation:
please mark me brainliest