Answers
Related Questions
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
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Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
In right triangle ABC, sin M = cos 61. If 0
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Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
4-2(2x-3)-(2x-4)=-2(x+3)
Answers
Answer:
x = 5
Step-by-step explanation:
Given
4 - 2(2x - 3) - (2x - 4) = - 2(x + 3) ← distribute parenthesis on both sides
4 - 4x + 6 - 2x + 4 = - 2x - 6
- 6x + 14 = - 2x - 6 ( add 2x to both sides )
- 4x + 14 = - 6 ( subtract 14 from both sides )
- 4x = - 20 ( divide both sides by - 4 )
x = 5
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Let's solve:
[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ [/tex]
Step 1: Simplify both sides of the equation.
[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ 4−2(2x−3)+−1(2x−4)=−2(x+3) \\ (Distribute the Negative Sign)
\\ 4+−2(2x−3)+−1(2x)+(−1)(−4)=−2(x+3) \\
4+−2(2x−3)+−2x+4=−2(x+3)
4+(−2)(2x)+(−2)(−3)+−2x+4=(−2)(x)+(−2)(3) \\ (Distribute) \\
4+−4x+6+−2x+4=−2x+−6 \\(−4x+−2x)+(4+6+4)=−2x−6(Combine Like Terms) \\ −6x+14=−2x−6
\\ −6x+14=−2x−6[/tex]
Step 2: Add 2x to both sides.
[tex]−6x+14+2x=−2x−6+2x \\ −4x+14=−6[/tex]
Step 3: Subtract 14 from both sides.
[tex]−4x+14−14=−6−14 \\ −4x=−20[/tex]
Step 4: Divide both sides by -4.
[tex] \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5[/tex]
help help help help help help help
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Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?
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Answer:
72
Step-by-step explanation:
1 stamp costs 0.36 cents
Then, 200 post cards will cost 0.36 × 200 = 72
Answer:
$72 dollars
Step-by-step explanation:
200 x 0.36 = 72
2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles
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Answer:
2
Step-by-step explanation:
Vince's birthday party is going to be at his favorite science museum next weekend. He has 8 friends who want to see the Dinosaur Discovery show and 4 friends who want to see the Wild Weather show. Typically, the Dinosaur Discovery show costs d dollars per ticket, and the Wild Weather show costs w dollars per ticket. But next weekend, all tickets are half price! Pick all the expressions that represent the total cost of his friends' tickets.
Answers
Answer:
See explanation
Step-by-step explanation:
Dinosaur Discovery show = 8 friends
Wild Weather show = 4 friends
Cost of Dinosaur Discovery show = $d
Cost of Wild Weather show = $w
At regular price:
Total cost of his friends' tickets = 8 * d + 4 * w
= 8d + 4w
At half price
Total cost of his friends' tickets =
8 * 1/2d + 4 * 1/2w
= 8/2d + 4/2w
= 4d + 2w
Total cost of his friends' tickets = 4d + 2w
If the terminal point of ø is (1,0), what is tan ø?
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Given:
The terminal point of [tex]\phi[/tex] is (1,0).
To find:
The value of [tex]\tan\phi[/tex].
Solution:
If the terminal point of [tex]\theta [/tex] is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that the terminal point of [tex]\phi[/tex] is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
[tex]\tan \phi=\dfrac{0}{1}[/tex]
[tex]\tan \phi=0[/tex]
Therefore, the value of [tex]\tan \phi[/tex] is 0.
Jane bought 6 dozen banana at $250per dozen. She sells four and a half dozen at $35 each and the other were sold at $20 each. Determine if she made a profit or loss state her profit or loss as a percentage. Show working
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Answer:
87.5% loss
Step-by-step explanation:
6 • 250 = 1500
4.5 • 35 = 157.5
6 - 4.5 = 1.5
1.5 • 20 = 30
157.5 + 30 = 187.5
1500x = 187.5
x = 0.125
12.5% is an 87.5% decrease
Vani signed up for a streaming music service that costs $12 per month. The service
allows Vani to listen to unlimited music, but if she wants to download
offline listening, the service charges $1.25 per song. How much total money would
Vani have to pay in a month in which she downloaded 30 songs? How much would
she have to pay if she downloaded s songs?
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Answer:
49.5 dollars first part and y=12+1.25x second part
Step-by-step explanation:
What is the slope of the line?
7x+2y=5
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Answer:
- 7/2
Step-by-step explanation:
Mindy puts a rectangular poster of her favorite singer on a wall in her bedroom. What is the perimeter of the poster?
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Answer:
Step-by-step explanation:
Please answer this!!!
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Answer:
so a = -1 b = -1/4 and c = 7
Step-by-step explanation:
-x^2 - 1/4x +7
This is in the form
ax^2 + bx +c
so a = -1 b = -1/4 and c = 7
Answer:
[tex]a=-1[/tex]
[tex]b=-\frac{1}{4}[/tex]
[tex]c=7[/tex]
Step-by-step explanation:
Hope this helps:)
A 16-foot ladder is leaning against a wall and the bottom of the ladder is 7 feet from
the bottom of the wall. How high up the wall is the ladder touching?
round to the nearest tenth
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Answer:
13.23 feet^2
Step-by-step explanation:
A test has several multiple choice questions, each with 5 choices. If you guess on 4 questions, what is the probability that you get all 4 correct
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Answer:
4/20 or 1/5
Step-by-step explanation:
number of guesses/total possible outcomes (formula for this question since it is an independent event)
total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)
total possible outcomes: 20
number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)
number of guesses: 4
number of guesses/total possible outcomes = 4/20 or 1/5
(I might be wrong lol, I haven't learned it in a long time)
ABCD and EFGH are rectangles with AB=10cm ,BC=7cm ,EF=7cm and FG =4cm ,all figures accurate to the nearest cm . Find the largest possible value of the shaded area . *
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Answer:
42 cm^2
Step-by-step explanation:
Please find attached an image showing the diagram
area of shaded part = area of larger rectangle - area of smaller rectangle
Area of a rectangle = length x width
larger rectangle = 10 x 7 = 70 cm^2
smaller rectangle = 7 x 4 = 28cm^2
Area of shaded part : 70 - 28 = 42cm^2
y/7 + 2.1 = 9.1
solve for y.
Answers
Answer:
-79
Step-by-step explanation:
-9.1-2.1=-11.2
--79÷7=-11.2
Answer:
y = -78.4
Step-by-step explanation:
y/7+2.1-2.1=-9.1-2.1
y/7=-11.2
y/7*7=-11.2*7
y= -78.4
PLSSS HELPP ASAP
Each of the following data sets has a mean of 5. Which has the greatest variability? (no calculations are necessary)
Α.{1, 3, 5, 7, 9}
В. {1, 1, 1, 1, 21}
с. {3, 4, 5, 6, 7}
D. {5, 5, 5, 5, 5)
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Answer:
choose B is the greatest variablity
What two numbers sum up to 11 and multiply to 18
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Answer:
9 and 2
Step-by-step explanation:
9+2=11
9×2=18
Answer:
9 and 2
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1025. What was the rate per hour by each mechanic if the sum of the two rates was $105 per hour?
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Answer:
The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.
Step-by-step explanation:
x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours
Then
x + y = 235
5x + 15y = 2375
Just solve these 2 equations above for x and y.
x + y = 235 ⇒ x = 235 - y
Substitute into second equation to find y.
5(235 - y) + 15y = 2375
1175 - 5y + 15y = 2375
10y = 1200
y = 1200/10 = 120
x = 235 - y = 235 - 120 = 115
Which of the following graphs is described by the function given below?
y = x^2 - 6x - 16
A. Graph A
B. Graph B
C. Graph C
D. Graph D
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Answer:
(C).Graph C
Step-by-step explanation:
What is the reciprocal of -3 2/7 ? -3 7/2 -23/7 -7/23 3 2/7
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Reciprocal of -32/7 = -7/32
Answer:
-32/7 = -7/32
Step-by-step explanation:
Need urgent help for this math question will give brainliest
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Answer:
1st box: 6x - 3 = 9
2nd box: 6x = 12
3rd box: x = 2
4th box: y = 4(2) - 3
5th box: y = 8 - 3
6th box: y = 5
Step-by-step explanation:
Part A-
1) 4x-3 = -2x+9
2) 4x+2x -3 = -2x+2x + 9
3) 6x -3 = 9
4) 6x -3+3 = 9+3
5) 6x = 12
6) 6x/6 = 12/6
7) x = 2
Part B-
1) y=4x-3
2) y=4(2)-3
3) y=8-3
4) y= 5
Therefore, x = 2 and y = 5.
I really hope this helps, good luck!
Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment that partitions in the ratio 2/1.
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Answer:
[tex]P = (3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-2)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]B = (6,1)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]m:n =2:1[/tex]
Required
The coordinates of P
This is calculated as:
[tex]P = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}][/tex]
So:
[tex]P = (\frac{2*6+1*-3}{2+1},\frac{2*1+1*-2}{2+1})[/tex]
[tex]P = (\frac{9}{3},\frac{0}{3})[/tex]
[tex]P = (3,0)[/tex]
PLZ HELP WILL GIVE BRAINLIEST
A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey.
How should the company select its sample of clients? Select two that apply.
The company should choose the first 50 clients that volunteer to take the survey.
The company should have a computer randomly generate a list of 200 clients to survey.
The company should survey every 5th client that makes an appointment.
Every employee in the company should recommend 1 client to survey.
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Answer:
the company should survey every 5th client that makes an appointment.
the company should have a computer randomly generate a list of 200 clients to survey.
a article cost$1424 it may be purchased by depositing$560 and making monthly payment of 48 how many months are required to complete payment
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Answer:
18months
Step-by-step explanation:
1424-560=864
864÷48=18
Answer:
18
Step-by-step explanation:
$1424-$560= $864
$864 divided by $48 = 18 months
can anyone help with this? find st and rt
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Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
If real estate agent earns a 3% commission and earned \$4,350 on the closing of a home What was the price of the home?
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Answer:
Final price of house = $145,000 (Approx.)
Step-by-step explanation:
Given:
Rate of commission = 3%
Amount of commission = $4,350
Find:
Final price of house
Computation:
Final price of house = Amount of commission / Rate of commission
Final price of house = 4,350 / 3%
Final price of house = 4,350 / 0.03
Final price of house = 145,000
Final price of house = $145,000 (Approx.)
Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?
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Answer:
68°
Step-by-step explanation:
If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°
Answer:
68°
Step-by-step explanation:
Since angles B and D are opposite each other, they are supplementary.
Find the middle point, M, of ab
Answers
Distance from A to B = B-A = 18-0 = 18
M is the midpoint which means it is equal distance between A and B
M = distance between A and B divided by 2:
M = 18/2 = 9
Answer: M = 9
Answer:
9
Step-by-step explanation:
If m is a midpoint of AB
then
M = 1/2AB
If AB = 18
Then M = 1/2 of 18
18/2 = 9
Hence M = 9