Answer:
A
Step-by-step explanation:
Subustion works because we already know two things are congruent so we just "substitute the angles into for the variables.
We know Angle A equal Angle B so we can replace angle A into m of Angle B and set it equal to Angle B variables.
We dont do know algebra operation to solve for the variable so we B and C aren't the option.
We already know two things are equal so we dont need to use transitive.
The reason that best supports statement 5 in the given proof is option A. Substitution.
What is Substitution:The process of substituting an algebraic letter for its value is known as substitution.
Take the equation 8 - 4x as an example. Depending on what number x is, this can take a wide range of values. For example, if we are told x = 3 then we can substitute 3 in place of x.
Multiplication property of equality:Let's take an example,
x ÷ 2 = (5x - 54)
x ÷ 2 × 2 = 2 × (5x - 54)
x = 10x - 108
then by multiplication property of equality, we can multiply 2 on both sides and rewrite the equation,
x = 10x - 108
Addition property of equality:Let's take another example,
x - 2 = 2
then by addition property of equality, we can add 2 on both sides and rewrite the equation,
x - 2 + 2 = 2 + 2
x = 4
Transitive property:In math, if A=B and B=C, then A=C
For example, if A is 5 then by the transitive property we can conclude that B and C are also equal to 5.
What is congruency?Two geometric figures are said to be congruent or to be in a congruence relation if they can be superposed on top of each other and remain the same throughout.
In the given question -
The first reason is given in the question itself.The second reason is given by congruency.The third reason is again given in the question.The fourth reason is also given.Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
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Can someone please help me
Answer:
c
Step-by-step explanation:
come on ! you can literally see that in the chart.
how many parts of the gray 3/8 are covered by the gray 1/4 ?
2 parts = 2/8 are clearly covered by 1/4.
2/8 is what part of 3/8 ?
it is the same question as "2 is what part of 3" ?
is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.
is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.
is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !
is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.
once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.
The freezing point of oxygen is –218.790C and hydrogen is –252.80C. A lab is lowering the temperature inside a fridge. Which freezes first? How much colder does it have to be for both to freeze?
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
En su cuenta bancaria, Sally tiene un saldo de -\$200.90−$200.90minus, dollar sign, 200, point, 90. Su amiga Shannon tiene un saldo bancario de -\$240.55−$240.55minus, dollar sign, 240, point, 55. ¿La cuenta bancaria de cuál amiga tiene más deuda
Answer:
Shannon
Step-by-step explanation:
Cuando se habla de lo que uno tiene, podemos usar números positivos.
Por ejemplo:
Pedro tiene 10 manzanas.
Para el caso de deudas, utilizamos números negativos, por ejemplo:
Pedro tiene -10 manzanas
Lo cual significa que Pedro debe 10 manzanas a alguien.
Entonces si le diéramos a Pedro 12 manzanas, el ahora tendría:
-10 + 12 = 2
Pedro tiene 2 manzanas, porque tuvo que entregar 10 de las 12 que le dimos para pagar su deuda.
Ahora vamos a resolver el problema:
La cuenta de Sally tiene un saldo de:
S = -$200.90
El signo negativo quiere decir que Sally tiene una deuda de $200.90
La cuenta de su amiga Shannon tiene un saldo de:
S' = -$240.55
De vuelta, el signo negativo quiere decir que Shannon tiene una deuda de $240.55
Con esto ya podemos concluir que la deuda de Shannon es mayor, por lo tanto Shannon es la que tiene más deuda.
Please help explanation if possible
Answer:
160= 2W + 2L ; W = L –16
2W+2L=160 ] ÷2
W+L= 80
W=L–16
____o____o___
L-60+L= 80 —> 2L= 96
L=48
W=L–16 —> w= 48-16 =32
W=32 ; L=48
I hope I helped you^_^
What's the angle sum of a polygon having 7 sides.
Answer:
900°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7 , then
sum = 180° × 5 = 900°
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?
5x + 13y = 232
12x + 7y = 218
The first equation can be multiplied by –13 and the second equation by 7 to eliminate y.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
(5.9)(1.102)
What’s does that mean
Answer:
brackets stand for multiplication therefore this means multiply 5.9 by 1.102..
I hope this helps and sorry if it's wrong
Please answer this
simplify too
Answer:
x^2-3x
pls mark me brainliest
Step-by-step explanation:
4x(x+2)-x(3x+5)
4x^2+8x-3x^2-5x
x^2-3x
p-83=129 ?????????????????????????
Answer:
p = 212
Step-by-step explanation:
p-83=129
Add 83 to each side
p-83+83=129+83
p =212
Answer:=212
Step-by-step explanation:
add 83 to both sides and then simplify
−83=129
p-83=129
p−83=129
−83+83=129+83
Lusine saw birds and mice eating seeds on the ground. She calculated 12 heads and 39 legs in total. How many birds and mice are on the ground?
Answer:
4.5 birds, 7.5 mice
Step-by-step explanation:
We know that birds have 2 legs and mice have 4. Furthermore, birds have 1 head as well as mice.
If b represents the amount of birds and m represents the amount of mice, because there are only birds and mice here, the total amount of birds and mice (b + m) must equal 12.
b + m = 12
Next, to find the total amount of bird legs, we must add 2 legs for each bird. Another way of putting this is to multiply 2 by the amount of birds, or b * 2. Similarly, the amount of mice legs is equal to m * 4. The total amount of legs is equal to 39, so
2b + 4m = 39
Our two equations are thus
b + m = 12
2b + 4m = 39
One way to solve this is to solve for m in the first equation and plug that into the second. We have
b + m = 12
subtract b from both sides
m = 12-b
substitute that into the second equation
2b + 4(12-b) = 39
2b + 48 - 4b = 39
-2b + 48 = 39
subtract 48 from both sides to isolate the b and its coefficient
-2b = -9
divide both sides by -2 to isolate b
b = 4.5
Therefore, there are 4.5 birds on the ground (there is somehow a half of a bird!)
Plugging that into m = 12-b, we have m = 12-4.5 = 7.5
Solve the triangle. Round your answers to the nearest tenth.
HELP PLEASE !!!!
A. m
B.m
C.m
D.m
Answer:
Angle A = 42°
Side b (Opposite side of angle B) = 13
Side c (Opposite side of angle C) = 29
Answered by GAUTHMATH
anyone know collage level algebra 2? I need help
Evaluate the series: image Question 1 options: A) 392 B) 249 C) 420 D) 406
Answer:
The required sum is 392
Step-by-step explanation:
Given the sum as shown;
[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]
When n = 1
f(1) = 3(1)²-4
f(1) = 3 - 4
f(1) = - 1
When n = 2
f(2) = 3(2)²-4
f(2) = 12 - 4
f(2) = 8
When n = 3
f(3) = 3(3)²-4
f(3) = 27 - 4
f(3) = 23
When n = 4
f(4) = 3(4)²-4
f(4) = 48 - 4
f(4) = 44
When n = 5
f(5) = 3(5)²-4
f(5) = 75 - 4
f(5) = 71
When n = 6
f(6) = 3(6)²-4
f(6) = 108 - 4
f(6) = 104
When n = 7
f(7) = 3(7)²-4
f(7) = 147 - 4
f(7) = 143
Taking their sum
Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)
Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143
Sum = 392
Hence the required sum is 392
slove the equation for y and x
Answer:
x=2
y=-3
Step-by-step explanation:
2x+y = 1
3x+2y = 0
Multiply the first equation by -2
-4x-2y = -2
Add this to the second equation
-4x-2y = -2
3x+2y = 0
-------------------
-x = -2
Multiply by -1
x = 2
Now find y
2x+y = 1
2(2) +y = 1
4 +y = 1
Subtract 4 from each side
y = 1-4
y = -3
Answer: y = -2x + 1
Solution to the system: (2,-3)
Step-by-step explanation:
2x + y = 1
3x + 2y = 0
We can solve this using substitution
The first thing that we're going to want to do is solve for y in the first equation
Solve for y
2x + y = 1
Subtract 2x from both sides
y = 1 - 2x
We now have the two equations
y = -2x + 1 and 3x + 2y = 0
The next step in solving the system is to plug in the expression of y ( -2x + 1) into the second equation
3x + 2y = 0
Substitute -2x + 1 for y
3x + 2(-2x + 1) = 0
Now solve for x
Distribute the 2 to the -2x and 1
2 * -2x = -4x
2 * 1 = 2
We now have 3x - 4x + 2 = 0
Combine like terms
-x + 2 = 0
Add x to both sides
2 = x
Now to find the value of y we substitute the value of x into one of the equations and solve for y
2x + y = 1
x = 2
2(2) + y = 1
Multiply
4 + y = 1
Subtract 4 from both sides
y = -3
The solution to the system is (2,-3)
And we are done!
The HCF of 85 and 95
Answer:
So the greatest common factor 85 and 95 is 5.
Step-by-step explanation:
We will now calculate the prime factors of 85 and 95, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85 and 95.
We will first find the prime factorization of 85 and 95. After we will calculate the factors of 85 and 95 and find the biggest common factor number .
Step-1: Prime Factorization of 85Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:
85 = 5^1 × 17^1
Step-2: Prime Factorization of 95Prime factors of 95 are 5, 19. Prime factorization of 95 in exponential form is:
95 = 5^1 × 19^1
Step-3: Factors of 85List of positive integer factors of 85 that divides 85 without a remainder.
1, 5, 17
Final Step: Biggest Common Factor NumberWe found the factors and prime factorization of 85 and 95. The biggest common factor number is the GCF number.
So the greatest common factor 85 and 95 is 5.
Help anyone can help me do the question,I will mark brainlest.
Answer:
552
Step-by-step explanation:
I'm almost certain this is correct. Only one step is rounded.
Answer: 942 - 225*sqrt(3)
This is roughly equivalent to 552.29
The unit for the area is in square cm, or cm^2.
The two area values above are based on pi = 3.14, so they are approximations.
============================================================
Explanation:
The radius of the circle is r = 30 because OA = 30.
The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately
However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2
This is not the final answer, but helps get us there.
What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.
If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.
-----------------------
The SAS (side angle side) area formula for a triangle is
Area = 0.5*p*q*sin(R)
where p,q are the sides and angle R is between those sides.
Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.
So the area of triangle AOB is...
Area = 0.5*p*q*sin(R)
Area = 0.5*30*30*sin(120)
Area = 450*sqrt(3)/2
Area = 225*sqrt(3)
This value is exact.
-----------------------
The area of the yellow region is therefore
(area of full figure) - (area of triangle)
(942) - (225*sqrt(3))
942 - 225*sqrt(3)
This is approximate because we used pi = 3.14 as an approximation earlier.
You could then use your calculator to say
942 - 225*sqrt(3) = 552.288568
This rounds to 552.29
Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?
Answer:
look at the explanation
Step-by-step explanation:
Write an equation:
Trash a way : $25 + 0.25x
Garbage No More : $45 per month
so to make them equal we need to have enough trash in Trash A Way that it equals $45
25 + 0.25x =45
0.25x = 20
x = 80
So, you need to have 80 pounds of trash to make them equal
hope this helps!
please vote and heart!
Please help me with this
Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,
AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.
To solve this question, we need to understand the concept of midpoint.
Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:
[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]Segment:
C is the midpoint of the segment AB, which means that:
The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.
[tex]AC = CB[/tex]
The distance of the midpoint to one of the endpoints is half the total distance, that is:
[tex]AC = \frac{AB}{2}[/tex]
[tex]CB = \frac{AB}{2}[/tex]
Solution:
We have to solve for x, considering one of the three relations.
Considering:
[tex]AC = 4x, CB = 12 + x[/tex]
[tex]AC = CB[/tex]
[tex]4x = 12 + x[/tex]
[tex]4x - x = 12[/tex]
[tex]3x = 12[/tex]
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
The solution for x is x = 4 miles.
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someone answer fast with a model: Kevin spends $11.25 on lunch every week during the school year.If there are 35.5 weeks during the school year how much dies Kevin spend on lunch over the entire school year? Remember to round to the nearest penny
Answer:
$399.45
Step-by-step explanation:
all you gotta do is
11.25×35.5
Six men working 8 hours a day dig a shamba in 5 days. How many more days will it take 4 men working 8 hours a day to finish the job?
NOTE:PLEASE EXPLAIN IN DETAIL !!!
6m=40hours
1m=40×6h
=240hours
4m=240÷4
=60 hours
divide 60 by 8
=7.5 days
thus,
4 men take 2 and 1/2 day more to complete the job.
Answer: 2 1/2days
Can A KIND SOUL HELP ME OUT??? ALL THE ANSWERS I SEE ARE WRONG FOR THIS PROBLEM!!!!!!!!!!:(((
Find the measures of angles x, y and z in the figure.
please show how you got it so I can see if the answer makes sense!!!!
Answer:
x=y=z=106
Step-by-step explanation:
The upper line is a straight line, so x+74=180, x=106.
y and x are equal in measure as it's a pair of parallel lines and z=y as they are alternate interior angles
tìm nghiệm của đa thức 2x² + 5x
Answer:
this is this because of PTI
Step-by-step explanation:
pto explain it to me on Monday and Friday Saturday morning
Answer:
[tex]2x^2+5x[/tex]
[tex]=2xx+5x[/tex]
[tex]=x\left(2x+5\right)[/tex]
Hope it helps u
write the equation of the graph below
Answer:
Step-by-step explanation:
This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:
[tex]y=a(x-h)^2+k[/tex] and this will allow us to solve for the value of a:
[tex]6=a(6-4)^2+5[/tex] and
[tex]6=a(2)^2+5[/tex] and
6 = 4a + 5 and
1 = 4a so
[tex]a=\frac{1}{4}[/tex] and the equation is
[tex]y=\frac{1}{4}(x-4)^2+5[/tex]
Which number line shows the solution to-3-(-1)
Based on the markings of the two triangles, what statement could be made about ΔABC and ΔA′B′C′? Question 1 options: A) The corresponding pairs of sides and angles of ΔABC and ΔA′B′C′ aren't congruent. B) ΔABC and ΔA′B′C′ are congruent. C) ΔABC and ΔA′B′C′ are irregular polygons. D) ΔABC and ΔA′B′C′ aBased on the markings of the two triangles, what statement could be made about ΔABC and ΔA′B′C′? Question 1 options: A) The corresponding pairs of sides and angles of ΔABC and ΔA′B′C′ aren't congruent. B) ΔABC and ΔA′B′C′ are congruent. C) ΔABC and ΔA′B′C′ are irregular polygons. D) ΔABC and ΔA′B′C′ are similar but not congruent.re similar but not congruent.
Answer:
B) ΔABC and ΔA′B′C′ are congruent.
Step-by-step explanation:
Given
See attachment for [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]
Required
Determine the relationship between both triangles
The single line on all sides of both triangles implies that the sides of the triangles are equal
i.e.
[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- sides
Similarly, the same mark on the three angles of both triangles means that the angles of the both triangles are equal
i.e.
[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- angles
Hence, both triangles are congruent
Answer:
B) ΔABC and ΔA′B′C′ are congruent.
Step-by-step explanation:
how to solve 1168 divided by 8
Did I do this right? I really don’t want to fail lol
Answer:
i think yes!!!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Yes, you did this correctly.
By subtracting the volume of the cylinder from the volume of the rectangular solid, you accurately acquired the volume of the remaining figure.
And yes, your calculations are correct.
What is the least common multiple of 46, 49, and 17?
Answer:
38318
Step-by-step explanation:
Break the numbers into prime factors
46 = 23*2
49 = 7*7
17 = 17*1
The least common multiple is
23*2*7*7*17 = 38318
rút gọn M=[ căn x -2/x-1- căn x +2/x+2 căn x+ 1] nhân x bình-2x+1/2 với x>0 x khác 1
Answer:
Step-by-step explanation:
The computer technician charges $20 per visit plus $35 per hour. If the computer technician works for 2 hours, what will be the cost?
$75
$90
$55
Answer:
90
Step-by-step explanation:
To solve this problem we need to set up an expression
35x+20
35 is the cost per hour, and 20 dollars is the visit fee.
x is the amount of hours the CT can work
So if we plug in the amount for the number of hours from the problem we get
35(2)+20
Which becomes 70+20 which is 90.
Hope thsi helps!
The computer technician works for 2 hours will take total charges equal to $90 .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7
According to the question
The computer technician charges $20 per visit plus $35 per hour.
i.e
Let hours he work = x
therefore,
Total charge of computer technician in equation = 20 + 35x
Now,
As the computer technician works for 2 hours the cost will be
By using equation
Total charge of computer technician in dollars = 20 + 35x
where x = 2
so,
= 20 + 35*2
= $90
Hence, the computer technician works for 2 hours will take total charges equal to $90 .
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