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Which diagram provides a counter example to the statement below?
“Supplementary angles are never congruent.”
Answers
Two or more angles are supplementary if and only if they can add up to [tex]180^{o}[/tex]. Thus, the appropriate option would be C.
Supplementary angles are angles that add up to the value of angle on a straight line i.e [tex]180^{o}[/tex].
Congruent property of angles implies that they have equal value.
Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”
Considering the figures given in the question, the counter example to the given statement is the figure in option C. [tex]180^{o}[/tex]. Because angle 1 and 2 are approximately equal.
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Related Questions
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were made during the game?
Answers
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Answer:
x = -15/-3
Step-by-step explanation:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
What is the domain of this quadratic function?
Answers
The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.
What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3
Answers
Solve the equation for all real solutions.
k^2+8k+22=6
Answers
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[tex] {k}^{2} + 8k + 22 = 6 [/tex]
Subtract sides 6
[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]
[tex] {k}^{2} + 8k + 16 = 0[/tex]
[tex] ({k + 4})^{2} = 0[/tex]
Thus ;
[tex]k + 4 = 0[/tex]
Subtract sides 4
[tex]k + 4 - 4 = - 4[/tex]
[tex]k = - 4[/tex]
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The Massachusetts Body of Liberties __________.Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?
Answers
Answer:
Step-by-step explanation:
The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.
Please help I don’t understand
Answers
Answer:
y = -2x+4
Exp:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 2 – 1 = 1
ΔY = 0 – 2 = -2
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = -2x + 4
When x=0, y = 4
When y=0, x = 2
find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7
Answers
Answer:
TSA=115.5cm²
Step-by-step explanation:
T.S.A=3πr²
Given r=3.5cm
eq.
3×22/7×3.5×3.5
=3×22×0.5×3.5
=115.5cm²
Answer:
[tex]19.25cm^{2} \\[/tex]
Step-by-step explanation:
Formula
[tex]\frac{\pi r^{2} }{2}[/tex]
Solve
[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=
[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]
Find all whole values for y for which the double inequality is true: -5
Answers
Answer:
The values of y for which the inequality is true are;
-4,-3,-2,-1,1,0,1
Step-by-step explanation:
Here, we want to give all the values of y for which the given inequality is true
We have the inequality as;
-5 < y < 2
This can be read as -5 is less than 5 which is less than 2
This means that the correct y-values lie between -5 and 2 which are not inclusive
So the correct values of y in this case are;
-4,-3, -2, -1 , 0, 1
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in wall per gallon?
35/25
1 7/25
1/2
1 3/32
Answers
Answer:
Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.
4/5 walls÷5/8 gallons=1.28walls/gallon.
Step-by-step explanation:I hope this helps. Let me know if anything is unclear.
If 4x = 64,
find the value of 2x + 3.
Answers
Answer:
35
Step-by-step explanation:
4x=64
divide that: =16
x=16
2(16)+3
35
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Use the information to answer the following question.
the table shows the relationship between the number of hours, h, jorge has been hiking
and the total distance, d,he has traveled in kilometers.
The graph shows the distance sara hiked over the same period of time.
who hikes faster?Explain.
Answers
Answer:
Step-by-step explanation:
Sara is faster she got a longer distance to Jorge
Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries. If Joy wants to use 6 cups of blueberries in the fruit salad, how many cups of strawberries will she need to use? Use Scratchpad to draw a tape diagram to show your work.
Answers
Answer:
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
Product of extreme = Product of mean
Dividing both sides by 2
A leather jacket is priced at $130. There is an 8% sales tax rate. What is the sales tax for the jacket in dollars and cents?
Answers
Answer:
$10.40
Step-by-step explanation:
Multiply $130 with 0.08 to get the sales tax. 0.08 is the same as 8%, just in decimal form.
$130 * 0.08 = $10.40
Can somebody help me please I needed this for the longest (3x+2) and (x-7)
Answers
Answer:
They intercept at (-4.5, -11.5)
Step-by-step explanation:
Write an equation of a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3
Answers
Answer:
y = (-3/5)x + 4
Step-by-step explanation:
Parallel lines have the same slope.
So the slope to the other line would be -3/5 as well.
Slope-intercept form is y = mx + b where m is the slope.
So you substitute the slope in making it y = (-3/5)x+b.
To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.
To simplify that, it would get to 1 = -3 + b
Then you add 3 on both sides getting to b = 4.
Then you substitute b in, getting y = (-3/5)x + 4.
Hope this helped! If not, please let me know! <3
An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.
Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
We know that, the slope of a line parallel to given line is m1=m2
By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5
So, the slope of parallel line is -3/5
Now, put m= -3/5 and (x, y)=(5, 1), that is
1=-3/5 (5)+c
c= 4
So, equation with m=-3/5 and c=4, we have y=-3/5 x+4
Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.
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solve for c a(b-c)=d
Answers
Answer; c= -d/a + b
Step-by-step explanation:
In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is
Answers
Answer:
where is the figure and without figure what to do
Find the GCF of 38 and 49.
Answers
Answer:1
Step-by-step explanation:
I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1
Answer: The greatest common factor is 1
Step-by-step explanation:
49 is not even like 38 so the only one they have together in 1.
530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help
Answers
Answer:
6% of 530 is 31.8 hope this is what you ment
Jasmine needs to solve the equation 9x + 12 = 3(x-8). Which
equations represent a first step Jasmine could use to solve the original
equation? Select all that apply.
Answers
Answer:
To find the value of x
1. Solve what it is in the parentheses
2. Combine like numbers on each side of the equation if is possible
3. Subtract 12 on both sides of the equation
4. Subtract 3x on both sides of the equation
5. Divide by 6 both sides of the equation
Step-by-step explanation:
9x + 12 = 3(x-8)
9x + 12 = 3x -24
-12 -12
9x = 3x -36
-3x -3x
6x = -36
6 6
x = -6
The equation that represent the first step that should be required is 9x + 12 = 3x -24.
Calculation of an equation:Since the equation is
9x + 12 = 3(x-8)
So
9x + 12 = 3x -24
6x = -36
x = -6
So based on this, we can say that The equation that represent the first step that should be required is 9x + 12 = 3x -24.
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What is the slope, the Y-intercept and the equation for this graph??
Answers
Answer:
equation of the line: y=1/2x-1
slope :1/2x
y intercept: -1
Step-by-step explanation:
using y1-y2/x1-x2:
-1-0/0-2= -1/-2=1/2
the slope is 1/2.
plug in the numbers from the given points to find the y intercept:
-1=1/2•0+b
b= -1
the y intercept is -1.
with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.
so, the equation of the line is y=1/2x-1
Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years
Answers
Answer:Arnold earns $87 of interest in 5 years.
Step-by-step explanation:
12 cups equal:
A. 3 gallons
B. 6 quartz
C. 2 gallons
D. 24 quartz
E. 6 pints
Answers
Answer:
6 pints
Step-by-step explanation:
I just asked Alexa
12 cups equals 6 pints
what is 1,935,825 in scientific notation ?
Answers
answer:1.935825×10 to the sixth power
step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.
-3x-4=-5y-8 what is the y-intercept and x-intercept
Answers
Answer:
3/5x + 4/5 = y
or
y = 3/5x + 4/5
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To find the y-intercept just need to put 0 instead of x in the equation.
[tex] - 3(0) - 4 = - 5y - 8[/tex]
[tex] - 4 = - 5y - 8[/tex]
Add sides 8
[tex] -4 + 8 = - 5y - 8 + 8[/tex]
[tex] 4 = - 5y[/tex]
Divide sides by -5
[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]
[tex]y = - \frac{4}{5} \\ [/tex]
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To find the x-intercept just need to put 0 instead of y in the equation.
[tex] - 3x - 4 = - 5(0) - 8[/tex]
[tex] - 3x - 4 = - 8[/tex]
Add sides 4
[tex] - 3x - 4 + 4 = - 8 + 4[/tex]
[tex] - 3x = - 4[/tex]
Negatives simplifies
[tex]3x = 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]
[tex]x = \frac{4}{3} \\ [/tex]
Done...
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Answer this for 15 points
Answers
Answer:
A.
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
(x, y) = (3, 0)
0 = -2/3 (3) + b
0 = -2 + b
b = 2
y = -2/3 x + 2
Answer: A.
Answer:
y = - 2/3 + 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 2/3x + b Input Slope
Step 3:
0 = - 2/3 ( 3 ) + b Input x and y
Step 4:
0 = - 2 + b Multiply
Step 5:
2 = b Add 2 on both sides
Answer:
y = - 2/3 + 2
Hope This Helps :)
What’s the answer hurry
Answers
Answer:
y=12x
Step-by-step explanation:
According to the table
48=12(4) which is true
60=12(5) which is true
96=12(8) which is true
Answer:
12, 60/5 is 12, 48/4 is 12, 96/8 is 12
Sam starts his hike at an elevation of 311 feet above sea level. When
he reaches the end of the hike, he is 6371 feet above sea level. What
was the change in elevation from the start of his hike to the end?
label optional
Answers
Answer:
6060 feet
Step-by-step explanation:
6371-311=6060
Multi Step Problem (Show work!!)
-4 + -5 = 8
Answers
Answer:
the answer is -9 not 8
Step-by-step explanation:
14
Bolve for the value of z:
5
Z
25
Answers
Answer:
The answer is 15
Step-by-step explanation:
Thats what I got