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The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
Related Questions
When are two triangles said to be in perspective?
a.
If the corresponding vertices of two triangles form three lines that intersect in a single point
c.
If the corresponding vertices of four triangles form three lines that intersect in a single point
b.
If the corresponding vertices of three triangles form three lines that intersect in a single point
d.
If the corresponding vertices of two triangles form three lines that intersect in two points.
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Two triangles are said to be in perspective from a point, O if the corresponding vertices of the two triangles form three lines that intersect in that single point, O. The two triangles can also be described as homologic from point, O.
a recipe calls for 4 tsp of baking soda and 1 fl. oz. of vanilla. Which measurement is greater? Explain.
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These data show the age in years of 9 members of the youth orchestra.
12 14 16 17.5 10 18 15 15.5 19
What is the IQR (interquartile range) for these data?
4.75
9.00
15.50
17.75
Answers
Hey there!
the answer is 4.75.
4.75 is the IQR for the data
Hopes this helps u :)
Answer:
[tex]IQR=4.75[/tex]
Step-by-step explanation:
The given data is:
12,14,16,17.5,10,18,15,15.5,19
In order to find the interquartile range, we have to arrange the given data set in ascending order, thus
10, 12, 14, 15, 15.5, 16, 17.5, 18, 19
Now, the lower quartile is: 10, 12, 14, 15
Median is given as:
[tex]M=\frac{14+16}{2}=\frac{26}{2}=13[/tex]
And the upper quartile is given as:
16, 17.5, 18, 19
Median is given as:
[tex]M=\frac{17.5+18}{2}=17.75[/tex]
thus, the Interquartile range is given as:
[tex]IQR=Upper quartile-Lower quartile[/tex]
[tex]IQR=17.75-13[/tex]
[tex]IQR=4.75[/tex]
Big Reward! (Answer the right answer not just comment).
2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions
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B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8
Answer:
A. a = 0, b = 2
B. a = 10, b = 0
C. a = 10, b = -8
Step-by-step explanation:
2(5x-4)=ax+b
10x - 8 = ax + b
When a = 10, b = -8
This equation becomes true for all x. Hence infinite solutions.
When a = 10, b is not -8,
This equation has no solution.
One possible combination could be:
a = 10, b = 0
When a is not 10,
The two sides of the equation become two non parallel lines which will intersect at one point.
A combination could be:
a = 0, b = 2
A cone - shaped building has a height of 6 meters and a base with a diameter of 10 meters. The building will be filled with road salt that costs $25 per cubic meter. How much will it cost to fill the building with road salt? Use 3.14 for π Round to the nearest hundredth HELP ME ASAP!!!!
Answers
.. V = (1/3)*π*r^2*h
The radius (r) is half the diameter, so is 5 m. Fill in the numbers and do the arithmetic.
.. V = (1/3)*3.14*(5 m)^2*(6 m) = 157 m^3
The cost will be $25 for each of those cubic meters, so is
$25*157 = $3925.00.
V= (1/3) pi r^2 h
r = d/2 = 10/2 = 5
h = 6
pi = 3.14
V = (1/3) * 3.14 * 5^2 * 6
V = (1/3) * 471
V = 157 cubic meters.
1 cubic foot cost $25
157 cubic feet cost x Cross multiply.
x = 25 * 157
x = 3925 dollars.
how do you convert minutes to seconds
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Can anyone help me please?
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6. a + c = 150 . . . . . . . . . . 150 tickets were sold
.. 10.25a +7.75c = 1470 . . revenue from sales was 1470; adult tickets were 10.25
matches (1)
I need help with this work sheet in algebra 2 I need some understanding can someone please help me?
Answers
When it says 39 less than a number is 21. "Less than" means to subtract. The 39 is less than x, so it's x-39=21.
8 times a certain number increased by 1 is 65. Break it down, first 8 times a number, so it's 8*x or 8x. Then we add 1 to that, so it's 8x+1=65.
5 times some number decreased by 2 times the number is 42. Decreased by is subtraction. So it's 5x-2x=42.
When you look for the key words increased by (add), more than (add), multiplied by, times, less than (subtract), decreased by (subtract), is (equal sign), they will help determine what you need to do.
I hope this gives you a little more understanding. Good luck with it! :)
Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine which statement is true a (a) student needs to take a 6 dance class to learn the routine) (b) student needs to take five dance classes to learn this routine see a student needs to take 9 dance classes to learn the routine) or (d) a student needs to take 10 dance classes to learn the routine)
Answers
The student will need 10 dance classes to learn the routine. Hope it helps! :)
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes. Hence, students needs to take 10 dance classes to learn the routine.
Given information:
The dance class is having the time 3/4 hour, and the value of 3/4 hour is 45 minutes.
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes.
According to the question,
The number of classes [tex]N[/tex] students have to attend to learn a dance routine can be written as,
[tex]N=\dfrac{450}{45}\\N=10[/tex]
Hence, from the above calculation one can conclude that, students needs to take 10 dance classes to learn the routine.
For more information visit:
https://brainly.com/question/19389526
Graph the systems of equations:
2x+y=5
14x+7y=35
What is x?
What is y?
PLEASE I NEED HELP!
Answers
Answer:
The question is wrong if you're looking to find x and y as they would cancel themselves being factors of each other
Step-by-step explanation:
The lines are co-incident so all the points on the graph are equal but the graph would look like this
Keelahs clothing store buys coats for $50 and then sells them for $80. What is the percent markup on the price of the coat.
Answers
(80-50)/50 x 100%
=60%
The percent markup is 60%
Work is attached in the image provided.
A pedigree chart is used to?
Answers
what is the inverse of the function below f(x) =x/5 -2
Answers
Answer:
[tex]y=5x+10[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{5} -2[/tex]
To find the inverse of the function we do the following steps
Replace f(x) with y
[tex]y=\frac{x}{5} -2[/tex]
Replace y with x and x with y
[tex]x=\frac{y}{5} -2[/tex]
Solve the equation for y
Add 2 on both sides
[tex]x+2=\frac{y}{5}[/tex]
Now multiply by 5 on both sides
[tex]5(x+2)=y[/tex]
Now distribute 5 inside the parenthesis
[tex]5x+10= y[/tex]
[tex]y=5x+10[/tex]
30 yards of fabric is needed to make 10 dresses.The fabric roll is stamped 1200 inches .How many yards do you have
Answers
which of the following are necessary when proving that the opposite side of a parallelogram are congruent?
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A parallelogram is congruent if the corresponding angles are congruent and they form a common triangle. A parallelogram is also congruent if the sides are parallel to each other and can be divided into two common triangles.
Answer: If anyone needs this in more simple terms it would be, “Alternate interior angles are congruent” and “ corresponding parts of congruent triangles are congruent“
Step-by-step explanation: The rules of parallelograms, the quotes are from Ap3x (it registered as a link)
I am a solid figure with two congruent polygons that are based connected with lateral faces that are rectangles
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Does anyone know these answers
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Two quarters and one dime = 60 cents, and she's dividing it equally between three people (Kylie and two friends), and 60 divided by 3 is 20, so each person would get 20 cents.
Part B:
No, because 2/10 of the money means 2/10 of 60, which is 12, and each person gets 20 cents, not 12 cents.
What is the correct way to classify a triangle with angles that measure 20 , 40 and 120
Answers
Need help with pythgoream theorem
Answers
Lower right. You can check it out using
a^2 + b^2 = c^2
14^2 + 48^2 = 50^2
196 + 2304 =? 2500
2500 = 2500 This checks out to being true. I don't think there are any others.
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
Answers
The correct answer is:
1 1⁄2 qt = 6 cups
6 cups - 3 1⁄2 cups = 2 1⁄2 cups = 20 oz
20 oz ÷ 2 = 10 oz = 1 cup + 2 oz
Find the numerator of the equivalent fraction with the denominator 12x - 2/3
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What is the d in 3.5d=70
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WILL GIVE BRAINLIEST AND RATE!
Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.
Which statement describes how many more batches of cookies Michael can make?
A. Michael can make fewer than 13 batches of cookies.
B. Michael can make fewer than 14 batches of cookies.
C. Michael can make fewer than 15 batches of cookies.
D. Michael can make fewer than 26 batches of cookies.
Answers
Answer:
A
Step-by-step explanation:
Find the magnitude and direction of the vector. Round the length to the nearest tenth and the degree to the nearest unit. Diagram is not drawn to scale.
Answers
The vector has a magnitude of a and a direction of θ degrees south of west.
Use the Pythagorean Theorem to calculate a.
a² = (-530)² + (-200)² = 320900
a = √(320900) = 566.48 mi ≈ 566.5 mi
By definition,
tan θ = (-200)/(-530) = 0.3774
θ = tan⁻¹ 0.3774 = 20.68° ≈ 21°
Answer: about 566.5 mi; 21° south of west.
Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.
Answers
The resultant speed of the boar is v, and its direction is θ degrees south of west.
Use the Pythagorean Theorem to calculate v.
v² = 14² + 2² = 200
v = √(200) = 14.1 mi/h
By definition,
tan θ = 2/14 = 0.1429
θ = tan⁻¹ 0.1429 = 8°
Answer: 14.1 mi/h; 8° south of west.
Please help me!!!!!!!!!!!!!!!!
What is the constant of proportionality?
What would the equation look like?
Answers
In this case 7 would be your constant of proportionality
Quadrilateral ACEG≅Quadrilateral PRMN
Which statement is true?
EG≅MN
AC≅MR
AG≅MP
CE≅NP
Answers
Answer:
a
Step-by-step explanation:
EG≅MN
Quadrilateral MNPQ has vertices at (−3, 5), (−4, 6), (−5, 7), and (−6, 8). If the Quadrilateral MNPQ is reflected over the x−axis, what will the new coordinates be?
(3, 5), (4, 6), (5, 7), (6, 8)
(5, −3), (6, −4), (7, −5), (8, −6)
(−3, −5), (−4, −6), (−5, −7), (−6, −8)
(3, −5), (4, −6), (5, −7), (6, −8)
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Hello there!
The answer is D.
The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?
A) y = x2 + 3
B) y = x2 - 6
C) y = x2 + 6
D) y = (x + 6)2
Answers
The picture show the graph that shift down 3 units
The equation that I chose shift up 3 units from 0, in which it compares to the picture from -3 up to 3 will be 6 units
In this exercise we have to use the knowledge of quadratic equations and graphs to identify the correct alternative, so we have;
Letter A
Remembering what a quadratic function looks like and its form:
[tex]y=x^2[/tex]
where X is the quadratic form, we know that we see that in the graph we have to go down 3 units, we can write it as follows:
[tex]y=x^2+3[/tex]
See more about quadratic functions at brainly.com/question/4119784
what is the length of the hypotenuse of a right triangle with sides that measure 5 in. and 12 in
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a^2+b^2=c^2
5^2+12^2=c^2
25+144=c^2
169=c^2
13=c