Write a two-column proof.
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refer to images for question
MUST WRITE FULL PROOF
Answers
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex](Side-Angle-Side)
Related Questions
What point of concurrency in a right triangle is also the midpoint of the hypotenuse?
A. centroid
B. incenter
C. circumcenter
D. orthocenter
Answers
The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
What is point of concurrency?A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.
What is Triangle Concurrency Points?There are 4 different points of concurrency in the triangle are:
1. Circumcenter
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
For an obtuse-angled triangle, the circumcenter lies outside the triangle.
For a right-angled triangle, the circumcenter lies at the hypotenuse.
2. Incenter
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
3. Centroid
The point where three medians of the triangle meet is known as the centroid.
4. Orthocenter
The point where three altitudes of the triangle meet is known as the orthocenter.
For an obtuse-angled triangle, the orthocenter lies outside the triangle.
According to the question
The point of concurrency in a right triangle is also the midpoint of the hypotenuse.
According to the Triangle Concurrency Points
For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.
Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
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How many hours is 7:45 to 1:00
Answers
Step-by-step explanation:
There are 17 hours between 7:45 to 1:00
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
Answers
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answers
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
What is the missing angle of the triangle 48° 58°
Answers
Answer:
74 degrees
Step-by-step explanation:
Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?
Answers
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
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Henry had beaten 12 levels in a video game. If the ratio of levels he had beaten to not
beaten was 6:1, how many levels does the game have total?
Answers
2 x (6 + 1) = 14
solve for x 12+6x/3= 5-9/2
Answers
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
Which graph or graph shows a proportional relationship
Answers
Answer:
C) Graph A and Graph C
Step-by-step explanation:
A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.
Graph b does not show a straight line so B does not show a proportional relationship.
Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.
Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.
Thus, the answer is C) Graph A and Graph C
Type the missing number in this sequence:
-2,
-50,
-250,
-1,250,
-6,250
Answers
Answer:
the next is -2 × 5 = - 10
Step-by-step explanation:
the sequence is times 5
The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
the original price of the socks?
Answers
Answer: original price= $8
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 8 × 20/100
Discount = 8 x 0.2
You save = $1.60
Final Price = Original Price - Discount
Final Price = 8 - 1.6
Final Price = $6.40
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answers
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.
If the base of the parallelogram is 8 and the perimeter is 28 then what is the area?
Answers
Answer:
the answer is 28 for the area.
Which numbers is divisible by 5,10 and 15.
A) 15
B) 20
C) 21
D) 34
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help me with this question
Answers
if any doubt leave a comment
please help me!
ty :)
Answers
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps
HELP!!!!!
M
list the sides of ABC in order from shortest to longest
Answers
M list the sides of ABC in order from shortest to longest
Answer:Sum of angles in a triangle = 180
Angles A + B + C = 180
80 + 3x + 5 + 5x - 1 = 180
3x + 5x = 180 - 80 - 5+1
8x = 96
x = 96/8
x = 12
So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59
Angle A = 80, B = 41, C = 59
So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.
So from the smallest to biggest side:
AC < AB < BC
Arigatou gozaimasu!!
What is the value of the sin each of the following 5607 506 702 803 562
Answers
Answer:
sin(5607) = 0.67641680533
sin(506) = -0.202179403335
sin(702) = -0.989367016834
sin(803) = -0.948263002181
sin(562) = 0.33827666045
Step-by-step explanation:
put sin into a calculator and then put in the number
hope this helps! :)
It costs $8 for admission to the Park City Ice Arena. In addition, renting skates costs $4 per hour.
Write an equation that shows how the total cost, y, depends on the length of the rental in hours, x.
Do not include dollar signs in the equation.
Answers
40 dollars
Step-by-step explanation:
Answer:
y = 8 + 4x
Step-by-step explanation:
y is the total cost of 1 skating experience.
y = 8 + 4x
This can be read as: the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented. No snacks included.
What is the 2nd equivalent fraction to 5/7
Answers
Hello!
2nd equivalent fraction to is 5/7 is 10/14.
Other equivalent fractions are 15/21, 20/28, 50,70...
I hope this helps,
Have a great day!
how many real square roots does -1 have?
Answers
There are no real square roots does -1 have.
-1 is negative, it does not have a real square root.
Here, we have,
we know that,
The number -1 does not have any real square roots.
In the real number system, a square root of a number is a value that, when squared, gives the original number.
However, when we square any real number, the result is always non-negative.
Since -1 is negative, it does not have a real square root.
It is 0 because there are no square roots for negative numbers.
Hence, There are no real square roots does -1 have.
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Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answers
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.
Answers
Answer:
Step-by-step explanation:
Define linear relationship. Give an
relationship.
PLESE HELP
Answers
Answer:
in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution
Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)
Answers
I'm pretty sure the answer is y=x+5
-5⎜x - 3⎟ - 5 < 15
Pls
Answers
−5(|x−3|)−5<15
Step 1: Add 5 to both sides.
−5(|x−3|)−5+5<15+5
−5(|x−3|)<20
Step 2: Divide both sides by -5.
−5(|x−3|)
−5
<
20
−5
|x−3|>−4
Step 3: Solve Absolute Value.
|x−3|>−4
We know eitherx−3>−4orx−3<−(−4)
x−3>−4(Possibility 1)
x−3+3>−4+3(Add 3 to both sides)
x>−1
x−3<−(−4)(Possibility 2)
x−3<4(Simplify both sides of the inequality)
x−3+3<4+3(Add 3 to both sides)
x<7
Answer:
x>−1 or x<7
Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=
Answers
Answer:
Step-by-step explanation:
4x - 1 = 3(x + 1)
4x - 1 = 3x + 3 [remove the parentheses by multiplying each term by 3]
4x = 3x + 4 [add 1 to both sides]
1x = 4 [Subtract 3x from both sides]
x = 4
===
Try it:
4x - 1 = 3(x + 1): ??
4*4 - 1 = 3(4 + 1) ??
15 = 3(5)
15 = 15 yes
is Y = 4 x 2 proportional?
Answers
Answer:
no
Step-by-step explanation:
Proportinal relationships follow the equation y = kx k is the constant of proportianality
Explain how 3/4 ×7, 7×3/4 and 3×7/4 are all related
Answers
Answer:
3/4×7
= 0.75×7
=5.25
7×3/4
=7×0.75
=5.25
3×7/4
=3×1.75
=5.25
all answer is same so, however we do all answer come 5.25
this way they all are related
-12x - 5y = 40
12x - 11y = 88
Answers
Answer:
(0, -8)
Step-by-step explanation:
hope this helps! :D
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