A.68
Linear pair of angles:
If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.
Axiom- 1
If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.
Axiom-2
If the sum of two adjacent angles is 180° then the two non common arms of the angles form a line.
The two axioms given above together are called the linear pair axioms.
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Solution:
Given,
∠PQR = ∠PRQ
To prove:
∠PQS = ∠PRT
Proof:
∠PQR +∠PQS =180° (by Linear Pair axiom)
∠PQS =180°– ∠PQR — (i)
∠PRQ +∠PRT = 180° (by Linear Pair axiom)
∠PRT = 180° – ∠PRQ
∠PRQ=180°– ∠PQR — (ii)
[∠PQR = ∠PRQ]
From (i) and (ii)
∠PQS = ∠PRT = 180°– ∠PQR
∠PQS = ∠PRT
Hence, ∠PQS = ∠PRT
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HELP PLEASE. BRAINIEST
What is the relative frequency for students who have been to Alaska? What is the relative frequency for students who have been to Hawaii but not Alaska? What is the relative frequency for students who have not been to Alaska or Hawaii?.
The relative frequency for students who have been to Alaska, Hawaii but not Alaska, and not to Alaska or Hawaii is 0.28, 0.30, and 0.42 respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, summarise the data.
The relative frequency for students who have been to Alaska will be
[tex]\rm Relative \ frequency = \dfrac{14}{50}\\\\Relative \ frequency = 0.28[/tex]
The relative frequency for students who have been to Hawaii but not Alaska will be
[tex]\rm Relative \ frequency = \dfrac{15}{50}\\\\Relative \ frequency = 0.30[/tex]
The relative frequency for students who have not been to Alaska or Hawaii will be
[tex]\rm Relative \ frequency = \dfrac{21}{50}\\\\Relative \ frequency = 0.42[/tex]
More about the statistics link is given below.
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Answer: A= 14/50 B= 15/50 C= 21/50
Step-by-step explanation:
you are welcome
A salad dressing mixture of vinegar and oil is supposed to contain
V
ounces of vinegar for every cup of oil.
Which coordinate is represented on the graph?
Answer: where is the graph
Step-by-step explanation:
i cant help if there is no graph
Jenna made 2 times as many
bracelets as Meghan. Jenna made
14 bracelets. Which equation represents
the number of bracelets Meghan made?
Answer:
2x=14
Step-by-step explanation:
Meghan= x
2x=14
2x/2=14/2
x=7
Z What is the value of x? 45° ni (2x - 5)
If 1400 = 100% what is 40% of it
Answer:
560 is 40% of 1,400
Step-by-step explanation:
40 x 1400/ 100 = 560
560/1400 = 40%
NEED HELP with these two pages please help me (30 points)
Answer:
1. B
2. E
3. D
4. B
5. C
6. B
7. E
8. D
9. D
10.D
11. E
HELP will give 50 pts. A group of friends wants to go to the amusement park. They have $197.75 to spend on parking and admission. Parking is $19, and tickets cost $35.75 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.
i need to know the equation and the answer
To write the equation multiply the price per person by x( the number of people that can go) and add the price of parking to get the total cost:
equation: total = 35.75x + 19
to solve for x replace the total with 197.75 and solve for x:
197.75 = 35.75x + 19
Subtract 19 from both sides:
178.75 = 35.75x
Divide both sides by 35.75
X = 5
a total of 5 people can go.
I don’t get what I’m supposed to do can someone explain?
Answer:
You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
State if the two triangles are congruent. If they are, state how you know.
Answer:
A
Step-by-step explanation:
All sizes are equal and the all corresponding angles are also equal
What is SCIENTIFIC NOTATION?
A. A short way to write really long numbers
B. A long way to write really short numbers
C. I don't know...
D. None of the above
The answer to this is A.
Work out the area of this shape. ? cm2
4 cm
9 cm
6 cm
12 cm
Help!!!
Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) 165 Rate (mph) Time (h) 165 Slower Car Faster Car 225 + 20 225 + 20 55 mph 60 mph 75 mph 130 mph
Answer:
A.
Step-by-step explanation:
t=d/s
The answer is 55 miles
Answer:
55 miles per hour
Step-by-step explanation:
If three equal subdivisions of [0,3] are used, what is the Trapezoidal Rule approximation of
The trapezoidal rule is simply a rule that's used in the approximation of a definite integral.
What is a trapezoidal rule?Your information is incomplete as the details aren't complete. Therefore, an overview will be given.
In this case, the trapezoidal rule is simply a rule that's used in the approximation of a definite integral.
It simply evaluates the area under the curve by dividing the total area into smaller trapezoids rather than using rectangles.
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Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=-10 when x=2
Answer: Suppose y varies directly with x. Write a direct variation equation that relates x and y.
Step-by-step explanation:
Answer is y = -5x
The equation for y varies directly with x is, y = - 5x.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies directly with x.
Therefore,
y ∝ x.
y = kx, where k is the proportionality constant.
At y = - 10 when x = 2.
- 10 = 2k.
k = - 5.
So, y = - 5x.
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A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?
Answer:
$1,320
Step-by-step explanation:
To find the area of the bedroom, you must multiply the length and the width. 15 multiplied by 12 is 180, so the area of the bedroom is 180 square feet. There are three feet in a yard, so you must divide the area of the bedroom in feet by 3 in order to get the area of the bedroom in yards. 180 divided by 3 is 60, so the area of the bedroom is 60 square yards. In order to find how much it will cost to carpet the room, you must multiply the area of the bedroom in yards by how much carpeting costs per square yard. 60 multiplied by 22 is 1,320, so it will cost $1,320 in order to carpet the room.
100 - 4x = 20 + 6x; x=
Answer:
8 = x
Step-by-step explanation:
100 - 4x = 20 + 6x
100 = 20 + 10x
80 = 10x
8 = x
someone helpp, I don’t know how to solve it nor do I know the answer.
========================================================
Explanation:
For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.
What this means is that the pieces AE and CE are the same length.
AE = CE
6x-8 = 2x+24
6x-2x = 24+8
4x = 32
x = 32/4
x = 8
Then we can calculate the length of each piece mention
AE = 6x-8 = 6*8-8 = 48-8 = 40CE = 2x+24 = 2*8+24 = 16+24 = 40Both pieces are 40 units long to confirm we have the correct x value.
Therefore,
AC = AE + CE = 40+40 = 80
what is 8 less then a number n is 13-
Answer:
n=21
Step-by-step explanation:
The equation would be n-8=13 then you add the 8 to the other side of the equation so it says n=21.
Flat prats of solid figure
Answer:
the flat part of a solid figure is a face
BRAINLIEST
The total number of plants in a garden is modeled by f(x)=2x2−12x, where x represents the number of rows in the garden.
How many rows are in the garden if it has a total of 110 plants?
Answer:
6 rows are in the garden if it has a total of 110 plants
Let's see
f(x)=1102x²-12x=1102x²-12x-110=02(x+5)(x-11)=0x=-5 or 11Take it positive
rows=x=11d + 3n = 1 can someone help?
Answer: n = (1 - d) / 3
Step-by-step explanation: We are given with the equation d + 3n = 1 and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3.
On the real number line the origin is assigned the number ___.
Answer:
0
Step-by-step explanation:
The points on a number line are called coordinates. The zero point is called the origin. The numbers to the right of the origin are positive numbers; the numbers to the left of the origin are negative numbers.
Answer:
0
Step-by-step explanation:
has the coordinates given.
H (0, 0), I (-3, -1), J (-1, -2)
Find the new coordinates after the translation 3 unit to the right and 2 units down.
Answer:
H'(3, -2)I'(0, -3)J'(2, -4)Step-by-step explanation:
The x-coordinate of a point is the number units to the right of the y-axis where the point may be found. Translating the point to the right adds to the x-coordinate. Translating to the left subtracts from the x-coordinate.
The y-coordinate of a point is the number of units above the x-axis where the point may be found. Translating the point upward adds to the y-coordinate. Translating downward subtracts from the y-coordinate.
__
When a point is translated 3 units right and 2 units down, its x-coordinate has 3 added to it, and its y-coordinate has 2 subtracted from it. We can summarize the transformation like this:
(x, y) ⇒ (x +3, y -2)
Applying this transformation to the given points, we find ...
H(0, 0) ⇒ H'(3, -2)
I(-3, -1) ⇒ I'(0, -3)
J(-1, -2) ⇒ J'(2, -4)
A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two
marbles are drawn at random without replacement. Find the probability of:
Selecting a red marble on both draws.
Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
2/10= 2 red marbles and 10 marbles in total.
What is the value of g(3) ?
Answer:3
Step-by-step explanation:
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3
What is a function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We need to find the value of g(3).
From the question, we have
g(x)= x-1, -2≤x<-1
g(x)= 2x+3, -1≤x<3
g(x)= 6-x, x≥3
The value 3 is in the function g(x)=6-x
When x is 3
g(3)=6-3
Subtract 3 from 6.
g(3)=3
Therefore value of function g(3) is 3.
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A scale model of a volcano is 4 feet tall if the actual height of the volcano is 12,276 feet what is the scale of the model
Answer:
255.75ft/inch
Step-by-step explanation:
s (scale) = 12,276/4
s = 3069 ft
s = 3069/12
s = 255.75
answer.)s=255.75
explanation:
•divide 12,276' by 4'
•3069'/1'
• 1'=12"
• 3069' divided by 12"
•255.75
Evaluate each expression
Answer:
See below.
Step-by-step explanation:
Question 1
a = -2 and x = -6
| a + x | / 2 - | a - x | / 2
| -2 + -6 | / 2 - | -2 + 6 | / 2
| -8 | / 2 - | 4 | / 2
8/2 - 4/2
= 4/2
= 2
Question 2
a = -5, b = 4, c = 1, d = -3
| a - b | - | c + d |
| -5 - 4 | - | 1 - 3 |
| -9 | - | -2 |
= 9 - 2
= 7
What is 4(-5z+2)+(-6)
Answer:
-20z + 2
Step-by-step explanation:
4(-5z + 2) + (-6) =
= -20z + 8 - 6
= -20z + 2
what is the area of this polygon 5in 6in 7in 8in