In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
Answers
Answer:
180, same side interior, 120, incorrect
Step-by-step explanation:
Seeing that the other person failed to answer the question at all and made a worthless topic answer. I went ahead and solved it.
So all you have to know that sets stuart wrong is that angle 12 is not 69 degrees. So the dropdowns as follows. Angle 1, 7 and 8 make one triangle and have equal degrees. So 180 equals a whole triangle. Angle 12 and 8 are on the same side and inside the triangle. (Remember 1,7,8? well divide 180 by 3 and u get angle 8 being 60. Same as angle 7. The interior trapezoid will be 60+60+120+120=360.) Angle 12= 120 thus Stuart is wrong.
The reasoning that may be used for finding the measure of m∠12, is the
same side interior angles theorem.
The correct options using the drop-down menu are;
The sum of ∠1, ∠7, and ∠8 is 180°∠8 and ∠12 are same side interior anglesThe measure of ∠12 must be = 120°Stuart is not correctReasons:
Given parameters;
Line x ║ line y
m∠1 = 65°, m∠7 = 55°
m∠12 = 60°
Stuart states ∠12 = 60°
The reasoning is presented as follows;
Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°
Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles
Step 3: So, m∠12 = 60°
Using the drop-down menu, we have;
The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)
∠8 and ∠12 are same side interior angles (by definition)
Same side interior angles are supplementary, therefore;
∠8 +∠12 = 180°
∠12 = 180° - ∠8
Which gives;
The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°
The measure of ∠12 must be = 120°
Stuart is not correct
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Related Questions
A 525 gram rock contains 25.0% gold.How many grams are gold?
Answers
Answer:
131.25 gram is gold
Step-by-step explanation:
Rock = 525 gram
Gold = 25.0% of the rock
To determine how many grams of the rock are gold,
Find 25.0% of 525 gram
= 25/100 × 525
= 0.25 × 525
= 131.25 gram
Gold = 131.25 gram of the rock
Therefore,
131.25 gram of the rock is gold
Why can't you use algebra tiles to modle the multiplication of a linear polynomial by a quadratic polynomial
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jennifer is saving money to buy a bike the bike costs 245 she has 125 saved and each week she adds 15 to her savings how long will it take her to save enough money to buy the bike
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Given that 2 x − 2 y = 23 Find x when y = 9
Answers
Answer:
[tex]x=41/2=20.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2x-2y=23[/tex]
And we want to find x when y is 9.
So, substitute y for 9 and solve for x:
[tex]2x-2(9)=23[/tex]
Multiply:
[tex]2x-18=23[/tex]
Add 18 to both sides:
[tex]2x=41[/tex]
Divide both sides by 2:
[tex]x=41/2=20.5[/tex]
So, our answer is 20.5
Answer:
20.5
Step-by-step explanation:
2x - 2y = 23
2x - 2(9) = 23
2x - 18 = 23
2x = 23 + 18
2x = 41
x = 20.5
The Table Below shows the survey results from seven randomly selected probability and statistics students in one high school classroom.
Answers
Answer:
B) Students
Step-by-step explanation:
They are the ones being surveyed .
In a class of 28 students 4 drink skim milk 10 drink whole milk and the rest drink orange juice. What fractional part of the class drinks orange juice.
Answers
Answer: 14/28, or 1/2
explanation:
14/28 total students drink milk in general, meaning that the remainder drink orange juice. This leaves us with 14/28 students that drink orange juice, which can be reduced to 1/2.
I hope this helped! ^_^
Complete each step in the following solution.
Answers
Answer:
-6 and -10
Step-by-step explanation:
Three times negative two equal to negative six
Negative two plus negative eight equal to negative ten
A full-time employee who works 40 hours per week earns $20.50 per hour. Estimate that person's income. Round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. What is the estimated of annual income?
Answers
Given :
Full-time employee who works 40 hours per week earns $20.50 per hour.
To Find :
The weekly income and annual income after round off .
Solution :
Weekly income is given by :
[tex]C =40\times 20.50\\\\C=\$ 820[/tex]
Now , round off of hourly in come to nearest dollar is $21 .
So , new weekly income is :
[tex]C'=40\times 21\\\\C'=\$ 840[/tex]
Now , annual income is :
[tex]A=C'\times 50\\\\A=\$840\times 50\\\\A=\$42000[/tex]
Therefore , weekly income and estimated of annual income is $42000 .
Hence , this is the required solution .
simplify the ratio 15:27
Answers
Answer:
Step-by-step explanation:
15/27
15 divide by 3 out of 27 divide by 27
5/9= 5:9
Ratio = 15 : 27
= 5 : 9
( just divide both by 3 )
Please help me! I will mark you brainliest! Thank you!
Answers
Answer:
multiplacation and repeated addition
Step-by-step explanation:
multiply and add repeatly.
Given h(x)= 4x^2, find h(3) Help me pleasee asap
Answers
Answer:
Given the problem, I believe your answer would be:
h(3)=144
h=48
Hope this helps!
Explanation:
h(x) = 4x^2
h(3) = 4(3)^2
h(3) = 4(9)
h(3) = 36
wjat is the answer for this equation
Answers
Answer: 22
17 1/2= 17.5
4 1/2= 4.5
17.5 + 4.5 = 22
Answer:
22
Step-by-step explanation:
Firstly you should convert the mixed fraction in inproper fraction. So in this question the denominator are same thus, we can add the in proper fractions and we will get our answer.
Clear x in the next ecuation 6x+2y=528
Answers
Olam, como staaaaaaaaaa¿
The width of a rectangle measures (4.4d-4.3)(4.4d−4.3) centimeters, and its length measures (7.6d+4.7)(7.6d+4.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answers
Answer:
Perimeter, P = (24d+0.8) cm
Step-by-step explanation:
Given that,
Width of rectangle, B = (4.4d−4.3) cm
Length, l = (7.6d+4.7)
Perimeter is equal to the sum of all sides. A rectangle have 4 sides. The opposite sides of a rectangle are equal. So,
Perimeter = 2(L+B)
P = 2[(7.6d+4.7)+(4.4d−4.3)]
Collecting like terms
P = 2[(7.6d+4.4d)+(4.7−4.3)]
P=2(12d+0.4)
⇒ P = 24d+0.8
So, the expression for the perimeter of the rectangle is (24d+0.8) cm.
What is the solution to this equation?
-8x + 4 = 36
O A. x= -4
O B. x = 4
O c. x= -5
O D. x = 5
Answers
Answer:
A
Step-by-step explanation:
So we have the equation:
[tex]-8x+4=36[/tex]
Subtract 4 from both sides:
[tex]-8x=32[/tex]
Divide both sides by -8:
[tex]x=-4[/tex]
And we're done!
The answer is A
Answer:
A. x = -4
Step-by-step explanation:
We are given the equation:
-8x+4=36
We want to solve for x. Therefore, we must isolate x on one side of the equation.
4 is being added to -8x. The inverse of addition is subtraction. Subtract 4 from both sides of the equation.
-8x+4-4=36-4
-8x=36-4
-8x=32
x is being multiplied by -8. The inverse of multiplication is division. Divide both sides of the equation by -8.
-8x/-8=32/-8
x= 32/-8
x=-4
Let’s check our solution. Plug -4 in for x and solve.
-8x+4=36
-8(-4)+4=36
32+4=36
36=36
This checks out, so we know our solution is correct.
The solution to the equation is A. x=-4
As the owner of a pastry shop, you decide to have a sale on brownies. You price each brownie at 37 cents. At the end of the sale, you have sold 10 trays of brownies, with 12 brownies in each tray.
How much money did you receive from selling the brownies?
Answers
Answer:
4440
Step-by-step explanation:
10×12= 120 so you would 120 brownie.
so 120 × 37 for each is 4440 so your answer would be 4440. I used desmos.com, it is very helpful. You should give it a try!
Answer:
$44.40
Step-by-step explanation:
Each tray has 12 brownies, And you sold 10 trays
calculate total amount of brownies
10 × 12 = 120 brownies
37 cents = 0.37
multiply them together
120 × 0.37 = 44.40
Thus, you recieve 44.40
If six times a number is decreased by fourteen, the result is 124. What is the number
Answers
Answer:
[tex]\large\boxed{23}[/tex]
Step-by-step explanation:
Six times a number is decreased by fourteen, the result is 124.
Write an equation that represents this
(6 * x) - 14 = 124
Multiply 6 by x to remove the parenthesis
6x - 14 = 124
Add 14 to both sides of the equation
6x = 138
Divide both sides of the equation by 6
x = 23
The unknown number is [tex]\large\boxed{23}[/tex]
Hope this helps :)
Answer:
138
Step-by-step explanation
6x-14=124
6x=124+14
x=138/6 138/6=23
X=23
Which number line shows the solution to −6 − (−2)?
Answers
Answer:
the 2nd one
Step-by-step explanation:
BIG BRAIN
Can someone explain how to do this?
Answers
Answer:
ok so basically the points need to be graphed on a map and to do that you need to know the x and the y axis.x axis is horizontal and y is verticle.So look at -3,-5 the x is -3 and the y is -5 so you go left -3 and then down -5
What are the terms of 3x-4xy+10y+1
Answers
Answer:
[tex]3x,-4xy,10y,\text{ and }1[/tex].
Step-by-step explanation:
Single numbers, variables and product of number and variables are know as terms. In an algebraic expression each term is separated by an addition "+" sign.
The given expression is
[tex]3x-4xy+10y+1[/tex]
It can be written as
[tex]3x+(-4xy)+10y+1[/tex]
Therefore, the terms are [tex]3x,-4xy,10y,\text{ and }1[/tex].
4xy - 6xy + 5y - 9y Please also include the steps to solving it.
Answers
Answer:
-2xy -4y
Step-by-step explanation:
Combine like terms:
Subtract 6xy from 4xy: 4xy-6y = -2xy
Combine Like terms:
Subtract 9y from 5y: 5y-9y= -4y
Ans: -2xy -4y
Question time pls help me
Answers
The answer is four cubed
Answer: 4 squared
Step-by-step explanation:
Which equation has the solution x = 6? One-sixth x = three-fourths x + 2 One-fourth x + one-half = one-third x One-half x + 3 = three-fifths x + 3 Four-fifths x minus 1 = three-fourths x
Answers
Answer:
x = 6
One-fourth x + one-half = one-third x
Step-by-step explanation:
1/4 x + 1/2 = 1/3 x
1/4 x - 1/3 x = - 1/2
(3x - 4x)/12 = -1/2
-x/12 = -1/2
-x = -12/2
-x = -6
x = 6
Answer:
The answer is B
Step-by-step explanation:
Don't listen to the guy above me
Solve each inequality.
6i - 54 > 6 (3 - 2i)
Answers
Answer:
i > 4
Step-by-step explanation:
6i - 54 > 6 (3 - 2i)
6i - 54 > 18 - 12i
6i + 12i > 18 + 54
18i > 72
i > 4
I need help on what to write exactly
Answers
Answer:
Step-by-step explanation:
the equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. there will be 11 on each team
what is the product of (-4)(-2)(-1)
Answers
Answer:
-8
Step-by-step explanation:
multiply -4 and -2= 8
then 8x-1= -8
when multiplying a positive by a negative it will always be a negative
8x-1=-8
Your 100% correct answer is -8
List the single-digit numbers that are divisors of 420.
Answers
Answer:
It is divisible by 1,2,3,4,5,6 and 7.
Solve for x. {x}{3}+2=-13
Answers
3
x
+
2
=
−
13
Step 2: Subtract 2 from both sides.
3
x
+
2
−
2
=
−
13
−
2
3
x
=
−
15
Step 3: Divide both sides by 3.
3
x
3
=
−
15
3
x
=
−
5
Find the opposite and reciprocal of 1.2 *
1 point
Opposite: -1.2, Reciprocal: 1/1.2
Opposite: -1.2, Reciprocal: 5/6
Opposite: -1.2, Reciprocal: 6/5
Opposite: -1.2, Reciprocal: 25x3
Write a simplified expression for the perimeter of the shape *
1 point
dtc
Answers
Answer:
Dtidgjxjgसमदफछघबथधम छधढधदबम
use deductive reasoning to write a formula for the perimeter P of a regular polygon with n sides, where each side is s.
Answers
Step-by-step explanation:
If each side is s and the regular polygon has n sides, then the perimeter P must be n * s.
Equation for perimeter of regular polygon = ns
Given that;
Number of sides of regular polygon = n
Length of each side = s unit
Find:
Equation for perimeter of regular polygon
Computation:
Perimeter of regular polygon = [Number of sides of regular polygon[[Length of each side]
Equation for perimeter of regular polygon = [n][s]
So,
P = ns
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