Answer:
the answer is angle addition postulate
Step-by-step explanation:
Given the proof for x = 30, the missing reason in step 3 is: angle addition postulate
What is Angle Addition Postulate?Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which is: m∠ABD + m∠DBC = m∠ABC.
The given diagram as shown in the image attached below alongside the proof of x = 30.
T is the interior of straight angle ∠VRS.
m∠VRS = 180° (straight line angle)
Therefore, based on the angle addition postulate, m∠TRS + m∠TRV = 180°.
Thus, given the proof for x = 30, the missing reason in step 3 is: angle addition postulateLearn more about angle addition postulate on:
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Paul has 16 fish pictures and 12 deer pictures. He wants to arrange the pictures in rows with the same numbers of fish and of deer pictures in each row. What are the possible numbers of rows
Answer:
4 rows
Step-by-step explanation:
GCF of 12 and 16 is4
Suppose that you take 300 mg of an antibiotic every 6 hr. The half-life of the drug is 6 hr (the time it takes for half of the drug to be eliminated from your blood). Use infinite series to find the long-term (steady state) amount of antibiotic in your blood exactly.
Answer:
1200000
Step-by-step explanation:
Esun as ma
An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly. Round to the nearest 5. b. In a group consisting of 8724 randomly selected people, estimate how many more people can correctly spell weird than inoculate.
Answer:
a). 85 people
b). 4362 people
Step-by-step explanation:
The given bar graph shows how many people per 100 spelled each word correctly.
a. From the graph given extreme end of the bar for the word "weird" is between 80 - 90.
Therefore, approximate number of the persons who spelled weird correctly will be 85 (rounded to the nearest 5).
b. The number of people who can correctly spelled word "weird" = 85
The number of people who can correctly spelled word "inoculate" = 35
In 100 people, number of people who can correctly spell "weird" more than "inoculate"
= 85 - 35
= 50
in a group of 8724 randomly selected people, number of people who can spell the word "weird" correctly more than "inoculate"
= [tex]\frac{50}{100}\times 8724[/tex]
= 4362 people
Random selection means each individual has equal chance of being selected.
Given graph has the following information:
Total number of people under survey=100
a. To estimate the number of people per 100 who spelled weird correctly
From the graph it is around 84 and rounding it to nearest 5 will results in 85.
b. From the graph,
Number of people can correctly spell inoculate= 35
Number of people can correctly spell weird than inoculate=85-35
=50 out of 100
Using unitary method as follows:
100-------->50
1------------>1/2
8724------>1/2x8724
=4362
Thus, out of 8724 randomly selected people, 4362 people can correctly spell weird than inoculate.
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i’m bad at math. this is right?
Answer: B
Step-by-step explanation:
The converse means X --> Y , so Y --> X.
In other terms, you just need to reverse the terms and review that it turns out correct. In answer B, it does that just right.
Answer:
It should be the second one.
Step-by-step explanation:
Converse is just switching the hypothesis and conclusion, or the "if... then..." portion of the conditional.
Over the last 3 months, you deposited $600 each month into your business checking account. During that time, you
withdrew $1,208.23 to make purchases. What is the net change in your account balance?
O -$3.008.23
O $608.23
$591.77
O $1,808.23
$3.008.23
Intro
Done
Answer:
591.77
Step-by-step explanation:
we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77
7. A BOOKSTORE WAS SELLING BOOKS FOR 50% OFF. A SHELF IN THE STORE HAD A SIGN AS SHOWN:
"BOOKS ON THIS SHELF TAKE AN ADDITIONAL 25% OFF"
LETA PICKED OUT BOOKS FROM THE DISCOUNT SHELF THAT HAD A REGULAR PRICE OF $100. HOW MUCH
DID LETA PAY FOR THE DISCOUNTED BOOKS?
Answer:
Leta payed $37.50
Step-by-step explanation:
50% is another way of saying half. So half of 100 is 50. She is down to $50.00 If you take another 25% off then it is $37.50. This is because 25% of 50 is 12.50. If you subtract 12.5 from 50 then you get 37.50. This is how I know it is $37.50. Hope this helps! :)
Today, you worked from 7am to 4pm. The state you live in requires that you take a 30-minute break during any shift longer than 6 hours. This break does not count towards your hours. How many hours did you work today? Remember, 30 minutes is equal to .5 hours.
Answer:smbhaISHBIA
Step-by-step explanation:
ahbkjbajbsx
Levi prepares 3 kilograms of dough every hour he works at the bakery. How many hours did Levi work if he prepared 27 kilograms of dough?
Answer:
1 hour = 3 kg
27 ÷ 3 = 9 hours
hope this helps.
IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with mean 100 and standard deviation 15. About 84% of people will have IQs below 115 because 115 is _____ standard deviation(s) above the mean.
Answer:
1 standard deviation
Step-by-step explanation:
Given that :
IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with:
Mean = 100
Standard deviation = 15
About 84% of people will have IQs below 115 because:
84% = 0.84
From z - table, 0.84 corresponds to a z- score of about 0.995
0.995 = 1. 00
The z-score gives the number of standard deviations by which a raw score is above or below the average or mean value.
Raw score = 115
Mean = 100
Standard deviation (sd) = 15
Mean + number of sd's
100 + 1(sd)
100 + 1(15) = 100 + 15 = 115
HAVE TO EVALUATE SHOW WORK !!!!!
2ny + x
Answer:
9
Step-by-step explanation:
2ny + x
Start with n and y
n= 3/4
y = 6
2*n*y = 2* 3/4 * 6 2 * 6 = 12
12 * 3/4 = 36 / 4 = 9
There are many ways to do this. I have chosen one that does not require cancellation.
28) Solve the formula for g
Answer:
S=1/2gt2
you cross multiple
2s/t2 =gt2/t2
divide both sides by t2
to get
g=2s/t2
which is C
A physical therapy facility is building a new pool that is 60 feet long and 7 feet deep. They have ordered enough tile for a
140-foot-long border around the edge. How wide should the pool be to ensure that all tiles are used?
Answer:
The Pool should be 10 feet wider
Step-by-step explanation:
The rectangngle shaped pool will have 4 sides...
If the Pool is 60 feet long then 120 feet should be covered by Tiles.
so only Tiles of 20 feet are left...
Hence the border will be 10 on one side and 10 on the other side
The Pool should be 10 feet wider
The calculation is as follows:
The rectangle-shaped pool will have 4 sides
In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.
Thus, only Tiles of 20 feet are left...
Therefore,
Hence the border will be 10 on one side and 10 on the other side
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find the total pay for the week $12.50 per hour time and a half for sunday hours worked day must be rounded to the nearest quarter hour.
Answer:
$392.19
Step-by-step explanation:
I find it less tedious to write equations in a spreadsheet than to do the arithmetic by hand.
Morning time and afternoon time are found by subtracting the start time from the end time. Then the time for the day is found by adding the morning and afternoon shift hours.
Rounding to the nearest quarter hour can be done a couple of ways. In a spreadsheet, you multiply hours by 4, round to an integer, then divide that integer by 4 to get the rounded hours. (In a spreadsheet, hours are 1/24 of a day. When the hours:minutes are converted to decimal, you get a number of days. To make hours again, you need to multiply that by 24.)
Of course, hours are multiplied by $12.50 to get pay for all days but Sunday. For Sunday, that product is again multiplied by 1.5 for "time and a half."
The total pay is $392.19.
Find the quotient: –10/19÷(−5/7)
Answer:
14/19
Step-by-step explanation:
Note that there are two " - " signs here. Thus, the end result will be " + "
We move from left to right, obtaining first 10/19 divided by (5/7):
10
----- ÷ (5/7)
19
To divide by (5/7), invert (5/7) and then multiply. We get:
10 7 2(7)
----- * ----- = ------- = 14/19
19 5 19
what are the even numbers -7,-4,2,14,21,34,42
Answer:
-4, 2, 14, 34, and 42
Step-by-step explanation:
These are all even because they are multiples of 2. Also, for it to be even, the ones place MUST be one of the following: 0, 2, 4, 6, 8
Answer:
-4,2,14,34,42
Step-by-step explanation:
Even numbers are divisible by 2
-4/2 =-2
2/2 =1
14/2 = 7
34/2 = 17
42/2 = 21
twelve thousand four hundred three in standard form
Answer:
12,403
Step-by-step explanation:
twelve thousand = 12,000
four hundred = 400
three = 3
Add them all up.
Your answer is 12,403.
Hope this helps!
Answer: 12,403
twelve thousand = 12,000
four hundred = 400
three = 3
The answer is 12,403. Hope this helps!
What’s the perimeter of a rectangle 47ft 57ft
Answer:
The perimeter is (47x2)+(57x2). So the answer is 208ft
Step-by-step explanation:
Paige can run one lap around a track in 3 1/5 minutes. How long would it take her to run 6 1/2 laps?
PLEASE HELP !
The equation 8(u+3)=-16 is solved in several steps below. For each step , choose the reason that best justifies it
Answer:
Division property of equality
Step-by-step explanation:
Answer:
I hope this picture helps tho!!
Fill in the blank to make the equation true: []+3×7=15
Answer:
-6
Step-by-step explanation:
(-6) + 3 x 7 = 15
PLEASE HELP!!!!!!!
What is the absolute value of |-1||?
Use this number line to determine the absolute value.
t
-2
0
wint
win
1
3
-3
WIN+
2
3
Answer:
The answer is 1 ⅓
Step-by-step explanation:
Anything in an absolute value whether negative or positive will always end up being a positive
Questions in the picture. Pls help!!!!!
Answer:
A = 5
B = 3
C = 5
D = 3
Step-by-step explanation:
A - B = 2
• 5 - 3 = 2
A + C = 8
• 5 + 3 = 8
A + C = 10
• 5 + 5 = 10
B + D = 8
• 5 + 3 = 8
8 A television show uses 15 minutes of every hour for commercials, leaving
the remaining 45 minutes for the actual show. Which ratio below represents
the commercial minutes to the show minutes?
A1: 4
B 4:1
C1:3
D3:1
1. IV+61-6=6
Solving absolute value?
Answer:
[tex]\frac{ -49i − 49v }{iv}[/tex]
Step-by-step explanation:
v= −49
i= −49
Y=BD-5, for B. solve for B
Answer:
Step-by-step explanation:
BD - 5 = Y
BD = Y + 5
B = (Y + 5)/D
Kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul scored. The three players scored 45 points all together. How many points did each player score?
Answer:
Kendall: 24
Abdul: 8
Otis: 13
explanation:
24 is 3x more than 8 and 13 is 5 greater than 8
Answer: Kendall: 24 points; Abdul: 8 points; Otis: 13 points
Step-by-step explanation:
K= 3A
O= A = 5
O + A + K = 45
If f(x) = 4x - 7 and g(x) = 3x + 9 find (f+g) (5)
Answer: (f+g)(5)=37
Step-by-step explanation:
(f+g) (5) is the same as saying f(5)+g(5). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(5) and g(5), and then add them together. Another way is to do (f+g)(x), then plug in x=5. I will show both methods.
Method 1
f(5)=4(5)-7 [multiply]
f(5)=20-7 [subtract]
f(5)=13
g(5)=3(5)+9 [multiply]
g(5)=15+9 [add]
g(5)=24
(f+g)(5)=13+24 [add f(5) and g(5)]
(f+g)(5)=37
--------------------------------------------------------------------------------------------------------
Method 2
(f+g)(x)=4x-7+3x+9 [combine like terms]
(f+g)(x)=7x+2
(f+g)(5)=7(5)+2 [plug in x=5]
(f+g)(5)=35+2 [add]
(f+g)(5)=37
--------------------------------------------------------------------------------------------------------
Now, we know that (f+g)(5)=37. We confirmed this with both methods.
a medical transcriptionist has a four drawer cabinet. one drawer is 4/5 full and one is 1/2 full and one drawer is 3/4 full. can the contents be combined into 3 drawers why or why not
Answer:
well the sum of all the fraction combined are 2.05, so you could fill 2 1/2 drawers. So technically you could use 3 drawers, but the 3rd one won't be full.
hope that helps
Negative 6 equal 2/9 x
Step-by-step explanation:
-6 = 2/9 x
2/9x = -6
x = (-6)×9/2
= -27
At the PNE. On Friday night 2,950 people attended the monster truck show. On Saturday night, 3,159 people attended. In the stadium seats 4,000 people, how many empty seats were there for the two nights?
Please show how u get the answer!
Help fast
Answer:
1891 empty seats.
Step-by-step explanation:
for night 1: 4000- 3159= 841.
for night 2: 4000- 2950= 1050.
1050+841= 1891.
there were 1891 empty seats for the two nights.