SAS is the postulate that establishes the congruence of these two triangles.
What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.To learn more about triangle, refer to:
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is that true that r is the set of counting numbers from 7 to 12 is in a roster notation
Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
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Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?
a.(2 × 25) + 105
b.(105 x 2) + (25 x 2)
c.2 x (25 + 105)
d.2 x 25 × 105
Answer:
a.(2 × 25) + 105
Step-by-step explanation:
Let the number of hours spent repairing the bike = x
Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.
Therefore, our algebraic expression
= $25× x + $105
= 25x + 105
We were told in the question that He spent 2 hours repairing her bike.
Hence:
25 × 2 + 105
Therefore, the correct option is option a
a.(2 × 25) + 105
Find the inverse of the following function. g(x) = 1/x - 2
plz show work
A.) g^-1(x) = - 2/x-1
B.) g^-1(x) = 2/x-1
C.)g^-1(x) = 1/x+ 2
D.) g^-1(x) = 2/x+1
Answer: C. g^(-1) (x)= 1/(x+ 2)
Step-by-step explanation:
y=1/x-2
x=1/y-2
1/y-2=x
1/y=x+2
1=(x+2)y
1=xy+2y
xy+2y=1
(x+2)y=1
y=1/(x+2)
answer: g^(-1) (x)= 1/(x+ 2)
5/= 1.5 x 25
What is 1.5 × 25
A. 22.5
B. 37.5
c. 52.5
D. 85.5
Answer:
37.5 is the answer
Step-by-step explanation:
all you do is just multiply the 2 numbers
Estimate the value of 50.
O A. between 5 and 6
O B. between 6 and 7
C. between 7 and 8
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D. between 8 and 9
PLEASE HELPP
Answer: c
Step-by-step explanation: because 7 squared is 49 and 8 squared is 64
nvm i read the question wrong
Step-by-step explanation:
the person above is correct
if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??
Answer:
3600
Step-by-step explanation:
If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.
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Please please please help ill do anything
Answer:
Anything??
Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)
x=40
PLEASE HELP
Consider the expressions (3m+2n−6) and (−4−6m+7n).
Part A
What is the sum of the expressions for n=−2 and m=5?
The sum is
Answer:
5, -20
Step-by-step explanation:
Given the equation (3m+2n−6) and (−4−6m+7n).
Also, given that we're told that
n = -2 and
m = 5, if we take a rather direct approach by substituting like for like, we have
(3m+2n−6) = (3 * 5 + 2 * -2 - 6)
(3m+2n−6) = 15 - 4 - 6
(3m+2n−6) = 15 - 10
(3m+2n−6) = 5
(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)
(−4−6m+7n) = -4 - 30 + 14
(−4−6m+7n) = -34 + 14
(−4−6m+7n) = -20
Therefore, we proceed to conclude that the answers are 5 and -20 respectively
What’s the answer pls
Answer:
Step-by-step explanation:
There is no bird on the spinner. therefore the answer is impossible because there is no bird.
Answer:
Impossible - There's no bird on the wheel.
Step-by-step explanation:
Solve for x:
3x – 2(6 - x) = 7x + 2(5 + x) – 6
Answer:
-4
Step-by-step explanation:
3x-2(6-x)=7x+2(5+x)-6
First, distribute.
3x+ −12+ 2x = 7x + 10 + 2x −6
Combine like terms on each side.
5x − 12= 9x + 4
To solve for x, pick a side to solve. I will solve the right x.
5x - 12 = 9x + 4
-5x -5x
-12 = 4x + 4
Subtract 4 to isolate the variable.
-16 = 4x
Divide 4.
-4 = x
Helppppppppppppp meeeeee
Answer:
9
Step-by-step explanation:
because 9 in a third is 3
3 + 12 is 15
9x2 is 18
and 15 is 3 less than 18
State the average rate of change for the situation. Be sure to include units.
The population of Felton was 2400 in 2013 and 2800 in 2017.
The population of Felton grew by
1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
A2
B3
C [tex]3\sqrt{2}[/tex]
D[tex]3\sqrt{3}[/tex]
F[tex]6\sqrt{2}[/tex]
Answer:
i think it’s b
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answer:
33dollors if I'm not mistakin
Use the exchange rate £1 = $1.38 to convert $276 into £.
Answer:
£200
Step-by-step explanation:
List all factors of 72
Answer:
1,2,3,4,6,8,9,12,18,24,36,72.
Step-by-step explanation:
What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)
Which type of interest will earn you more money in a savings account?
Answer:
a compound interest that has the lowest interest rate .
Step-by-step explanation:
Photo attached please help
my friend needs help with this can someone help
Answer:Sorry
Step-by-step explanation:
Hi would help but i dont know and im not in collage sorry.
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
What is the measure of angle M?
Answer:
35°
Step-by-step explanation:
4x+11 = 5x-24
5x-4x=x
x=24+11
x=35
three and two forths - one and two thirds =
3 2/4 - 1 2/3 =
Answer:
1.83333333333
Step-by-step explanation:
pls mark me brainliest
ok thanks :) :) :) :)
Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
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How do you graph y=−x−2.
Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.
Answer:
The observed value of the chi-square statistic is 34.71
Step-by-step explanation:
Given the data in the question';
Calculate the observed value of the chi-square statistic
The chi-square statistic will be;
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]
here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class
E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class
[tex]_{i}[/tex] = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly
so
∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112
∈1 = n × probability of guessing correctly 168 × 1/3 = 56
so
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]
= 1296/56 + 1296/112
= 23.14 + 11.57
= 34.71
Therefore, the observed value of the chi-square statistic is 34.71
What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?
Answer:
The answer is y = 6x + 9.
-
Step-by-step explanation:
☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Slope-intercept: [tex]y = mx + b[/tex]
---
☆We need to find the slope first. So just plug in according to the slope formula!
[tex]m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]
---
☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]
---
☆Now all we need to do is plug in and we are done!
[tex]y = 6x + 9[/tex]
▪Happy To Help <3
PLZ HELP ME What shape is this cross-section?
Answer:
i'm not sure if i'm right but think is cube
Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field
Answer:
$44,313.75
Step-by-step explanation:
First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.
0.101 km * 1000= 101 meters
0.065 km * 1000 = 65 meters
Now we need to multiply these values together to find the area of the field
101m * 65m = 6,565[tex]m^{2}[/tex]
Finally, we need to multiply this area by the cost per square meter
6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75
The total repair will cost $44,313.75