Answers
Answer:
FG = 31
Step-by-step explanation:
By applying mid-segment theorem in the given trapezoid,
Segment joining midpoints of the nonparallel sides is parallel and measure the half of the sum of parallel sides.
FG = [tex]\frac{1}{2}[UV+TW][/tex]
(7x - 4) = [tex]\frac{1}{2}[(6x-6)+38][/tex]
2(7x - 4) = 6x + 32
14x - 8 = 6x + 32
14x - 6x = 32 + 8
8x = 40
x = 5
Therefore, FG = (7x - 4)
= 7(5) - 4
= 31
Related Questions
A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the tax proration between the buyer and seller using the 365 day method, the day of closing belongs to the buyer.
Answers
Answer:
The debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Step-by-step explanation:
The assignment of how much is owed to the responsible party is the major reason of a proration.
For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.
Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67
Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63
Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29
Therefore, the debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
The temperature was very cold.
Then the temperature tripled.
Then the temperature dropped by 14 degrees.
Then the temperature increased by 32 degrees.
The temperature is now 51 degrees.
What was the starting temperature?
Do NOT write degrees.
Answers
Answer:
51-32+14=33
33÷3=11
answer is 11
PLZZ SOMEONE HELP I REALLY NEED HELP I DON'T GET IT PLZZ SOMEONE
Answers
Answer:
B. 1.7c is warmer than....
Step-by-step explanation:
Determine the measure of angle C using a trigonometric ratio.
Answers
Answer:
34.836
Step-by-step explanation:
sin(C)=opp/hyp=16/28=4/7
C= inverse sin = 34.836 deg
The angle of the right-angled triangle using trigonometric ratio is 34.84°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The diagram shows the right-angled triangle.
The hypotenuse side, h = 28
The perpendicular side, p =16
The trigonometric ratio that relates hypotenuse side and the perpendicular side is sine θ.
[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]
⇒ [tex]Sine\theta = \frac{16}{28}[/tex]
⇒ [tex]Sine \theta=0.5714[/tex]
⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]
⇒ [tex]\theta = 34.84[/tex]
Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.
Learn more about trigonometry here
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I need to know this answer it’s very important. It’s on a test and if I don’t get an answer I’ll have to go to summer school!!!
Answers
28.AC = 42.24
AC = 42.24/28
AC = 36 ft
Please help! I dont have much more time to do school today
Answers
Answer:
B
Step-by-step explanation:
Answer:
put the numbers in order, cross off low/high pairs, add the leftover numbers, divide the sum by two
Step-by-step explanation:
The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30
Answers
Answer:
i need the photo to answer
Step-by-step explanation:
Find the volume of a sphere with radius 2
Answers
Answer:
r=3
V=4÷3× pi× r³=4×3×27÷3=108
weeeeeeeeeeeeeee3seeeeeeehehejdurut
Answers
Answer:
huh....is there a problem
......are you good-?
Find the distance between the points (-5,5) and (-6,-4).
Answers
Answer:
distance = 9.06 units
Step-by-step explanation:
x difference = -1
y difference = -9
using the Pythagorean theorem:
-1² + -9² = d²
d² = 1 + 81 = 82
d = 9.06
A school needs to buy new notebook
and desktop computers for its
computer lab. The notebook
computers cost $400 each, and the
laptop
computers cost $150 each. How
much would it cost to buy 13
notebooks and 19 desktop
computers? How much would it cost
to buy
n notebooks and d desktop
computers?
Total cost, 13 notebooks and 19
desktop computers:
Total cost, n notebooks and d desktop
computers:
Answers
Answer:
so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped
Simplify. Use GCF for the fraction part 15/20
Answers
Answer:
3/4
Step-by-step explanation:
GCF is 5 15 divided by 5 is 3 20 divided by 5 is 4
The heights of 20-year-old females are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. What is the z-score for a height of 62 inches?
Answers
Answer: z= -1
Step-by-step explanation: z= (62-64)/2 = -1
When you factor a trinomial, you are undoing what process?
Answers
Answer:
you would be undoing the FOIL process
Write the fraction 28 in its simplest form.
70
Answers
Answer: 2/5
Step-by-step explanation: 28/70 ÷ 12/12 = 2/5
The simplest form of the given fraction is 2 / 5
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given is a fraction, 28 / 70, we have to convert it into its simplest form,
28 / 70
= 2(14) / 5(14)
= 2 / 5
Hence, the simplest form of the given fraction is 2 / 5
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what is the opposite of –|−8|?
Answers
Answer:
it should be |8| or just 8 because there can not be a negative in the absolute value sign. pretty sure but not 100%
Answer:
|8|
Step-by-step explanation:
that is your answer :D
solve for X
please answer will give brainliest!!!
Answers
This is because you have to subtract 3.5 from both sides of the equal sign in order for x to be by itself on the left side. 12.75 minus 3.5 equals 9.25
it cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
Could you please give me the equation and show me how you got it please so I could understand... thanks.
Answers
Answer:
8.75
Step-by-step explanation:
if a bottle of 150 vitamins is 5.28...then that of 250 vitamins
x is the value of a single vitamin, therefore
5.25- 150
x- 1
150x divide by 5.25=0.035
therefore 250*0.035= 8.75
What is the approximate monthly payment on a 3 year loan at 10% on a principal of $5,000
Answers
Answer:
161.34
Step-by-step explanation:
Answer:
$166.66
Step-by-step explanation:
d33znuts
Please help I put a screenshot of the assignment
Answers
Answer:
78.5ft^2
Step-by-step explanation:
calculations done on a calculator
Answer:
78.5
Step-by-step explanation:
4 x 2.5 = 10 ft
4.5 x 2.5 = 11.25
4.5 x 4 = 18
18 + 10 + 11.25 = 39.25
39.25 x 2 = 78.5
what does 4n+3(n-5)+2 equal
Answers
7n-13 is what it equals
Answer:
7n-13
Step-by-step explanation:
Simplify
4n+3(n-5)+2
4n+3n-15+2
Add The Numbers
4n+3n-15+2
4n+3n-13
Combine Like Terms
4n+3n-13
7n-13 Solution 7n-13
Look at the image for the problem :)
Answers
Answer:
[tex]\displaystyle V = 28 \pi \ ft^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]
V is volumer is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 2 ft
Height h = 7 ft
Step 2: Solve for V
Substitute in variables [Volume of a Cylinder Formula]: [tex]\displaystyle V = \pi (2 \ ft)^2(7 \ ft)[/tex][Volume] Evaluate exponents: [tex]\displaystyle V = \pi (4 \ ft^2)(7 \ ft)[/tex][Volume] Multiply: [tex]\displaystyle V = 28 \pi \ ft^3[/tex]Solve the equation please
Answers
Answer:
y = 14
Step-by-step explanation:
| y + 3 | = 17
simplify:
y + 3 = 17
subtract 3 on both sides:
y + 3 - 3 = 17 - 3
y = 14
3 4/7 minus 2 1/5 by rounding to the nearest half
Answers
Answer:
[tex]1 \frac{13}{35}[/tex]
Step-by-step explanation:
[tex]3 \frac{4}{7} - 2 \frac{1}{5}[/tex]
you can solve for the fractions first, but you have to give them a common denominator
[tex]\frac{20}{35}- \frac{7}{35}[/tex]
[tex]= \frac{13}{35}[/tex] which is in simplest form
then solve for the whole numbers
3-2=1
therefore, the answer is [tex]1 \frac{13}{35}[/tex]
lan makes 60 cakes.
He gives à of the cakes to Helen.
He gives 20% of the 60 cakes to Sue.
What fraction of the 60 cakes does he have left?
Answers
Answer:
4/5
Step-by-step explanation:
there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5
The solids are similar. Find the missing dimension.
Answers
Answer:
i need the picture
Step-by-step explanation:
To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.
The sum of two numbers is 25. one number is twice the second number plus 7. what are the two numbers
Answers
Answer:
6 and 19
Step-by-step explanation:
x+y=25
2x+7=y
x+2x+7
3x+7=25
3x=18
x=6.
25-6=19.
y=19
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9 different charms for your bracelet. What is the minimum number of unique charms that must be available if the jeweler wants to advertise that it offers over 30,000 different charm bracelets?
Answers
The minimum number of unique charms that must be available is 18
How to determine the minimum number of unique charms that must be available?The given parameters are
Offers = minimum of 30000
Different charms, r = 9
Represent the minimum number of unique charms that must be available with n
So, we have the following combination equation
nCr = Total offers
Apply the combination formula
So, we have
n!/(r!(n- r)!) = Total offers
Substitute the known values in the above equation
n!/(9!(n- 9)!) >= 30000
Multiply through by 9!
So, we have
n!/(n- 9)! >= 10886400000
Next, we divide the left-hand side by (n - 9)!
So, we have
n x (n - 1) x ..... x (n-8) >= 10886400000
Next, we continue solving by trial by error
After several trials, we have:'
n = 18
To check:
18 x (18 - 1) x ..... x (18 - 8) >= 10886400000
17643225600 >= 10886400000 --- true
Assume n = 17, we have
17 x (17 - 1) x ..... x (17 - 8) >= 10886400000
8821612800 >= 10886400000 --- false
Hence, the minimum number of unique charms that must be available is 18
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what is the value expression 26+22÷12 pls help me
Answers
Answer:
As a decimal : 27.833
As a fraction : 167/6
Step-by-step explanation:
26 + 22/12
=
26/1 + 22/12
=
26/1 + 11/6
=
156/6 + 11/6
156 + 11 / 6
=
167/6
or as a decimal 27.833
Hope this helps!
ASAP - can someone please help me with this?
Answers
Answer:
It's point Q
Step-by-step explanation:
It because sqrt(10) = 3.16227 so the nearset point is point Q.