Answer:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. Parallelogram SUPN [tex]\overline {SR}[/tex]⊥ [tex]\overline {UN}[/tex] [tex]{}[/tex] 1. Given
and [tex]\overline {MP}[/tex]⊥ [tex]\overline {UN}[/tex]
2. ∠SRU = ∠PMN = 90° [tex]{}[/tex] 2. Definition of perpendicular lines
3. ∠SRU ≅ ∠PMN [tex]{}[/tex] 2. Definition of congruency
4. [tex]\overline {UP}[/tex] ║ [tex]\overline {SN}[/tex] [tex]{}[/tex] 4. Opposite sides of a parallelogram are [tex]{}[/tex] congruent
5. ∠SNR ≅ ∠PUM [tex]{}[/tex] 5. Alternate interior angles are congruent
6. [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex] [tex]{}[/tex] 6. Opposite sides of a parallelogram are [tex]{}[/tex] congruent
7. ΔPMU ≅ ΔSRN [tex]{}[/tex] 7. By AAS rule of congruency
By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, [tex]\overline {UP}[/tex] ≅ [tex]\overline {SN}[/tex]) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)
Step-by-step explanation:
Can someone help me with this
Answer:
use distance formula
Step-by-step explanation:
enter each set of points into distance formula, find distance then sum all sides
How many terms are in the expression below?
3x3+4x+7
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.
Tell me if I'm wrong and please explain.
Please help!!! Thank you so much!!
Answer:
45 inches
Step-by-step explanation:
If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.
Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
Write an expression to represent the total cost of the shirts in two different ways.
Enter the correct answers in the boxes.
Answer:
2S + 0.065(2S)
Step-by-step explanation:
Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S
a tax is a compulsory sum levied on goods and services. tax increases the price of a good
The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)
This gives = 2S + 0.065(2S)
Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S
We want to write two expressions that represent the total cost of the shirts, the expressions are:
Cost = P*(1.065) + P*(1.065)
cost = P*2.13
We know that Benita buys two shirts for the same price, P.
Then at this moment. the total cost is just:
cost = 2*P
Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:
P' = P*(1 + 6.5%/100%) = P*(1.065)
Then the total cost is twice that amount, written as:
Cost = P*(1.065) + P*(1.065)
This can be one of the two expressions.
Now to get the other expression, we just simplify the above one:
cost = 2*P*(1.065) = P*2.13
If you want to learn more, you can read:
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Given h(x) = 4x−4, find h(−3)
Answer:
-16
Step-by-step explanation:
MORE KHAN ACADEMY! HELP ME PLEASE!
6/3+(-1/6)=?
Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]
Answer:
If these are fractions the answer is 1 5/6
If they are not fractions the answer is 1.83
Of those who like to fish, what percent are ages 13-18?
Answer:
B.) 42.9
Step-by-step explanation:
The percent that we are trying to find out is 12/28
I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)
Anyways 12 divided by 28 = 42.857etc.
If we simplify this then that gives us our answer of B.) 42.9
10
Tara is playing a party game in which a tiny ball is
dropped into a rectangular box. To win the game, she
must guess where the ball will stop. What should she
guess to maximize her chances of winning?
scribes the likelihood of the ball
quare or rectangular shaped area?
square
circle
triangle
shaded area
4
Answer:
1. Shaded Area 2. UnlikelyStep-by-step explanation:
edge2021
Find the domain and range for f(x)=pi cos(x)
Domain of f(x) = pi cos x is ALL REAL NUMBERS.
The range of f(x) = pi cos x is [-1, 1].
express in exponential form 200×75
Do you mean exponential form as in scientific notation or as in prime factorization.
Now matter I will do both.
As in scientific notation.
200*75
=150*100
=1.5*10000
=1.5*10^4
As in prime factorization.
200*75
=2^3*5^2*3*5^2
=2^3 * 3 * 5^4
Do the one your teacher ask for :) Hope it helps!
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
got it right on ed
Tom has a total of 15 stamps. some are worth 10 cents and some are worth 20. The value of the stamp is 2.40. how many of each stamp does he have?
A. what are you trying to find?
B. what system of equations that models this scenario?
Answer:
a) how many stamps are worth $0.10 and how many are worth $0.20
b) x + y = 15
.10x + .20y = 2.40
Step-by-step explanation:
Raju is painting the walls and ceiling of a room with length, breadth and height of the room are 10m, 5m, 2m respectively. From each can of paint, 10m2 of area is painted. How many cans of paint will he need to paint the room?
Answer:
10 cans of paint
Step-by-step explanation:
Find the total area of the room
Divide the answer by 10meter squared.
Someone plz help me I will give brainliest
Answer:
2.25x2+2x1.00+1.50=8, 10-8 =$2.00
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%
The answer is A.
Step-by-step explanation:
ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.
What is the value of x to the nearest tenth ?
Answer:
7.2
Step-by-step explanation:
24/2 = 12
19.2/2 = 9.6
[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84
[tex]\sqrt{51.84}[/tex] = 7.2
Please help 3/4
Solve the binomial
(2ab-3c)(2ab+3c)
Answer:
I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
Multiply the fraction or 1/3 in the expression.[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
Multiply the whole Inequality by 3 to get rid of the denominator.[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
Solve the Inequality for v-term by making v as the subject.[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
A clerk at a local camera shop earns a 5% commission on all sales. How much commission does the clerk earn on a $500 sale?
Answer:
she earns $25.00 commission
Step-by-step explanation:
.05×500=25
plz will mark as brainliest
Answer:
30
Step-by-step explanation:
1/2 x (a+b) x h = area
1/2 x ( 40 + x ) x 50 = 1750
1/2 (40 + x )= 1750/50
20 + 1/2x = 35
1/2 x = 35 - 20
x = 15 x 2
= 30
I hope this is right :)
YOU AINT GOT THE ANSWERS MAN IMAO
Find the value of sin theta, if tan theta = 4; 180 < theta <270.
a. -4 (square root)17/ 17
b. -4
c. -1/4
d. (square root)7/ 4
Please select the best answer from the choices provided
Ο Α
O B
О С
O D
Answer: You can use the identity THE PICTURE THAT I PUT THERE
The sign is negative because the angle is in the 3rd quadrant. This corresponds to ... a. -(4√17)/17
value of sin ( theta ) = -4 (square root of ) 17 / 17
What are Trigonometry Functions ?
Real functions which relate to an angle of a right angled triangle to ratios of two side length.
Given
tan (theta) = 4`
sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)
sin(theta) = 4/(1+(4)^2)^(1/2)
= 4/ (17)^ (1/2)
multiplying and dividing by 17 ^ (1/2), we get
= -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )
option a) -4 (square root of ) 17 / 17
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Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.
The value of tan∠A form the right angled triangle ABC is 1.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:
tan∠A = (tan∠B)⁻¹ = 1
The value of tan∠A form the right angled triangle ABC is 1.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
3a≥ -6
solve for a
PLEASE
Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Find the slope of the line ([tex]m[/tex])
When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:
[tex]y=3x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.
[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]
Subtract both sides by 12
[tex]-3-12=12+b-12\\-15=b[/tex]
Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.
[tex]y=3x+(-15)\\y=3x-15[/tex]
I hope this helps!
The volume of a cylinder is 63 pi cm^3 . If the radius is 3cm, what is the height of the cylinder?
A. 3.5 cm
B. 21 cm
C. 10.5 cm
D. 7 cm
will give brainliest
Answer:
Step-by-step explanation:
volume = πr²h = π·3²h = 63π
h = 7 cm
The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.
We know that, the formula to find the volume of a cylinder is πr²h.
Now, πr²h=63π
π×3²×h=63π
h= 7 cm
Therefore, option D is the correct answer.
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Find the missing side length of this right triangle
Solve for w
-w + 181 = 128
w = ____