Write a two-column proof.
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refer to images for question
MUST WRITE FULL PROOF
Answers
Proof:-
In ∆TOP and ∆ZAP
[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]
Hence
∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)
Step-by-step explanation:
Statement Reason
∠O ≅ ∠A Given
TO ≅ AZ Given
∠OPT and ∠ZPA are vertical angles Vertical angles theorem
∠OPT ≅ ∠ZPA Definition of vertical angles
ΔTOP ≅ ΔZAP Angle - angle -side AAS postulate
Related Questions
please help me asap..
ty :)
Answers
Answer:
x = 3, 0
y = 0, -4
Step-by-step explanation:
A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.
Answers
The regular hexagon has 6 reflectional symmetries.
A regular hexagon has 6 congruent sides.
The number of sides of a polygon is the number of reflectional symmetry the polygon have.
Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.
Read more about reflectional symmetry at:
https://brainly.com/question/24584937
Answer:
It´s 6
Step-by-step explanation: Hope it helps ^w^
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Which statements are true about the ordered pair (7, 19) and the system of equations?
{2x−y=−5x+3y=22
Select each correct answer.
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (7, 19) is a solution to the system because it makes both equations true.
Answers
Answer: The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
In the ordered pair (7,19), 7 is the x and 19 is the y. Plug those in and multiply.
2(7)-19=-5
-5=-5
7+3(19)=22
64 doesn't =22
SO, one part of the equation is wrong making the ordered pair wrong.
Solve the simultaneous equations
4 x + y = 17
3 x + y = 15
Answers
In the ratio of 3:3:2, three sisters invested a total of 54,000 pesos to a store. Find the share of the second sister in the investment.
Answers
Answer:
20, 250
Step-by-step explanation:
3:3:2
u will first need to find the addition of all the ratio and divide each ratio by the sum
3+3+2=8
the u will; 3/8×54000=20,250
3/8×54000=20,250
2/8×54000=13500
4x + 3 = -9 slove the equation
Answers
Answer:
x = -3Step-by-step explanation:
4x + 3 = -9=> 4x = -9 - 3=> 4x = -12=> x = -3Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1
Answers
Answer:
yes, it a solution
Step-by-step explanation:
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What are values of a and b so the system of equations shown has no solutions?
y=7x+b
y=ax+4
Answers
Answer: a is 7 b is 4
Step-by-step explanation: to get an equation with no solution the equation has to be the same so if a is 7 and b is 4 this will show no solution
Write 23% as a fraction
Answers
Answer:
23/100
Step-by-step explanation:
which of the following rational functions is graphed below? A f(x) = x/(x+5)(x-2) B f(x)= x-2/x(x+5) C f(x)= (x+5)(x-2)/x D f(x)= 1/(x+5)(x-2)
Answers
Answer:
A f(x) = x/((x+5)(x-2))
Step-by-step explanation:
The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.
The zero at x=0 indicates (x -0) is a factor of the numerator.
The simplest function that will give a graph like this is ...
f(x) = x/((x +5)(x -2))
PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS
I really need help don’t answer if your not giving the correct answer don’t respond
Answers
Answer:
pretty sure its A
Step-by-step explanation:
Find the midpoint of PQ
Answers
Answer:
?? ?? ?? ?? ?? ?? ?? ?? ?? ??
y=4x−9y, equals, 4, x, minus, 9
Complete the missing value in the solution to the equation
Answers
Answer:
(3,3)
Step-by-step explanation:
To find the y - value that corresponds to x=3 , substitute the x - value in the equation.
y=4x-9
y=4*3-9
y=12-9
y=3
Therefore, (3/3) is the solution to the equation.
I hope it helps.
Answer:3,3
Step-by-step explanation: bc khan
someone help me please
Answers
Answer:
8
Step-by-step explanation:
Basically insert 18 where the X is and go from there!
2/3 (18) - 4
2/3 × 18 = 12
12 - 4 = 8
Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 mph.
Work out Regan's average speed for the last 48 miles.
Answers
Answer:
12 mph
Step-by-step explanation:
First 30 miles while cycling at 15 mph. This means he spent 2 hours here.
Thus the 4 hours on the last 48 miles.
Average speed = distance / time
Average speed = 48 miles / 4 hours
Average speed = 12 mph
Therefore Regan's average speed is 12 mph for the last 48 miles.
Determine whether the relation is a function. (8, 5), (6, "-2)," (4,-9), (2, "-6)," (4,7)
Yes Or No
Answers
Answer: No
Step-by-step explanation:
Because 4 is used 2 times in the x coordinates it is NOT a function
solve the following equation
Answers
Answer:
x=1 x=-11
Step-by-step explanation:
first you need to find what two numbers add together to make 10x and multiply together to make 25-
this would be 5
so we can rewrite it as (x+5)(x+5) = 36
which is the same thing as (x+5)^2 =36
then taking the root of both sides we get (x+5)= plus or minus 6
so x=-11 or x equals 1
Can someone Please help me on this math problem
Answers
Answer:
2
Step-by-step explanation:
each time that x gains 1, y gains 2
2/1=2
if f(x) = 3x - 1 and g(x) = x + 2, find (f-g)(x).
Answers
Answer:
f(x+2)=3x+5
Step-by-step explanation: hope this helps, love. have a good day
For a friend who's struggling
"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.
Will give brainliest!
Answers
varables:
O= omar songs\
S= total # of songs
equation:
2o+37= S
Hoped that helped:)
Find g (x), where g(x) is the reflection across the x-axis of f(x) = 7 [x+2]-6
Answers
I’m pretty sure it’s g(x) = 7|x-2| -6
Hope this helps!
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
4:6 = 2:3, the answer is C
Step-by-step explanation:
they visited 4 museums as displayed on the bar and 6 beaches also presented on the bar, which would mean 4:6 and would simplify to 2:3
Write an equation in slope-intercept form of the line that passes through the given points. (0,6) and (-5, "-1)"
Answers
1). 4x - (2x - 15)
2). -8 + 9x (-4 + 12x)
3). 15 - 14 ( 1 + 4x )
Answers
Answer:
1). 4x - (2x - 15)=> 4x - 2x + 15
=> 2x + 15
2). -8 + 9x (-4 + 12x)=> -8 - 36x + 108x²
3). 15 - 14 (1 + 4x)=> 15 - 14 - 56x
=> 1 - 56x
Step-by-step explanation:
Hoped this helped.
Answer:
[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]
Apply Distributive property:
[tex]\sf 4x-2x+15[/tex]
Combine like terms:
[tex]\boxed{\sf 2x+15}[/tex]
_____________
[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]
Apply Distributive property:
[tex]\boxed{\sf -8-36x+108x^2d}[/tex]
_______________
[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]
Apply Distributive property:
[tex]\sf 15-14-56x[/tex]
Subtract numbers:
[tex]\boxed{\sf 1-56x}[/tex]
_______________________________________
PROVE: BD is congruent to BE. Provide steps and reasons.
Answers
Answer:
It is congruent
Step-by-step explanation:
Because AB and BC are congruent, having DE bisect them
directly in the middle creates equal lines of BD and BE.
Catrina wants to purchase a new bag she found on sale for $68. The bag is originally priced at $80. What is the percent of change in the price of the bag?
Answers
Answer: The percent change of the bag is 15%.
which one is a function quick
Answers
Answer:
Table be is the only function. Table A has -5 as an x value two times.
Step-by-step explanation:
URGENT! WILL MARK BRAINLIEST!!
Write an inequality that represents the graph.
(it’s #4)
Answers
Answer:
x > 2
Step-by-step explanation:
Let x = unknown number
The dot is at 2.
The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥
The line is going to the right towards the larger numbers.
This means that the solution to the inequality is greater than 2.
This can be represented as x > 2
Answer: x >2
Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.
Hope this helps.
Best to you!
what is equivalent to
−−(2+5)−(3−7)?
Answers
Answer: [tex]\frac{-6}{2}, \frac{-9}{3} , \frac{-12}{4}[/tex]etc
Step-by-step explanation: -(2 + 5) - (3 - 7) = -3 To turn -3 to a fraction put 1 as it's denominator so it's [tex]\frac{-3}{1\\}[/tex]. [tex]\frac{-3}{1}[/tex] 's equivalent frations are [tex]\frac{-6}{2}, \frac{-9}{3} , \frac{-12}{4}[/tex] and etc.
While working for a lawn service company, Austin figures he earns $5 for edging 20 feet of curb. If he edges 50 feet of curb at the same rate, how much will Austin earn?
Power Lawn Edger
x=13 1/2 or 13.50$
x=12 1/2 or $12.50
x=14 3/4 or 14.75
x=12 or 1/4 or $12.25