Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings.
Answers
Answer:
your friend is wrong
Step-by-step explanation:
There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.
If you look at the attached image, °d = °a + °c
Related Questions
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, I will give brainliest to whoever answers correctly, thank you.
Answers
Answer:
y = -9/8x + 7Step-by-step explanation:
Slope-intercept form is:
y = mx + bPoints given:
(0, 7) and (8, -2)y-intercept is
b = 7 as per the first pointAnd the slope is:
m = (-2 - 7)/(8 - 0) = -9/8So the line is:
y = -9/8x + 7Answer:
Required Answer:-points are
(0,7)(8,-2)slope =m
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]
y intercept:-
7
Hence the equation is
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]
please solve this problem for me
Answers
Answer:
11/4800
Step-by-step explanation:
Help please...........bad
Answers
Answer: 0,5, and -4 is the zeros
Step-by-step explanation:
Need help please I’m begging yeah.
Answers
Answer: The answer is B.
Find the value of x in the triangle below.
x = ?
Answers
Answer:
x=8
Step-by-step explanation:
hope i helped!!!
Answer:
61°
Step-by-step explanation:
180-58=122
122÷2=61
There is a elephant shaped weather vane at the top of a corn dryer tower that is 45 m high. If the weather vane weighs 190 N, what is the Potential Energy that the wether vane has?
Answers
Answer:
Potential Energy = 8550 Joules
Step-by-step explanation:
The potential energy of the body is the energy possessed by it due to its position therefore:
Potential energy = mgh
m = mass of the body measured in kg
g= acceleration due to gravity
h= height or distance measured in meters
But in the question asked we are not given mass but weight so
w= mg measured in newtons
We have
w= 190 N
h= 45m
PE= mgh
PE = w h= 190 * 45 = 8550 J
The unit of energy is Joule.
explain what 9 represents in each of these numbers
a19
b 91
Answers
Answer:
a) 9 is in the ones place.
b) 9 is in the tens place.
Answer:
a=units b=tens
Step-by-step explanation:
Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years.
Answers
The value of her investment at the end of 7 years is $11804
How to determine the value?The given parameters are
Principal, P = $5000
Rate, r = 4.5%
Time, t = 7 years
The value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 4.5%)^7
Evaluate the expression
Value = 11804
Hence, the value of her investment at the end of 7 years is $11804
Read more about compound interest at:
https://brainly.com/question/24924853
#SPJ1
3 < y ⩽ 7 where y is an integer Write down all the possible values of y
Answers
add 4 i guess. i dont really know
Answer: 4, 5, 6, 7
Step-by-step explanation:
Let’s break this apart into 3 < y and y <= 7.
We can rewrite 3 < y as y > 3, and we also have that y <= 7.
This is equivalent to the verbal expression y is greater than 3 and less than or equal to 7.
We can then conclude that y must be between 4 (since that is the first number greater than 3) and 7 (since y includes 7).
Therefore, y can be 4, 5, 6, or 7!
Hope this helps! :)
Which expression has a value of 8?
1. 720 divided by 9
2. 720 divided by 90
3. 7200 divided by 9
4. 7200 divided by 90
Answers
Answer:
720 divided by 90
Step-by-step explanation:
72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier
what is any of these questions dont worry bout the others
Answers
Answer:
All that u hav to do is 2 apply BODMAS rule. And it will be done. thanq
Step-by-step explanation:
solve for x : 4 (1 - x) + 2x = -3 (x+1)
Answers
Answer: x=-7
Step-by-step explanation:
i need this asap!!!! please! will give brainliest and a thanks to fast answers!
Answers
Answer:
2 big
30 small
Step-by-step explanation:
possibility
30 small
HELPPPP plzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answers
Oh wait I think I know the answer, c.
Answer:
C
Step-by-step explanation:
angle DAB = angle CBA
angle DBA = angle CAB
line AB = line AB
Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle
Which ordered pair would form a proportional relationship with the point graphed below?
(10, 10)
o (26,36)
(70, 60)
(90, 60)
Answers
Answer:
90,60
Step-by-step explanation:
its the only point the line crosses on the graph
Answer:
D: 90, 60
Explanation:
I looked at the graph and that point was on the plotted line
can you answer my questions quick
Answers
Answer:
6 servings
Step-by-step explanation:
Let's say there are x 2/3 cup servings in a 4 cup container.
We multiply 2/3 by x to get the amount of cups that will produce and set that equal to 4 (because we want 4 cups):
(2/3) * x = 4
Divide both sides by 2/3, or multiply both sides by the reciprocal 3/2:
x = 4 * (3/2) = 12/2 = 6
The answer is 6 servings.
Simplify this algebraic expression completely.
7x - 5(x+6)
Answers
Answer:
2x - 30
Step-by-step explanation:
7x - 5(x+6)
7x - 5x - 30
2x - 30
done, hope i helped you and be sure to support me by marking me brainly and thank, and also make a 5.0 vote
Write the following expression in words x+7
Answers
Answer:
The sum of 7 and x.
Step-by-step explanation:
PLS GIVE BRAINLIEST
How do I do 3 x 10^5
Answers
Answer: 3(10^5)
=3*10^5
=3*(10*10*10*10*10)
=300000
This is how you should do It, just when it is squared you should times the number like up here you times 10 times 10 5 times so if you see it you don't times it by 5 you do 10 times 10 times 10 times 10 times 10 like this
You should get it now
Have a good day
Yours,
Nathaniel
Step-by-step explanation:
2x 1/2 x3 2/3 im goin to be need a lot of helpppp
Answers
Answer:
3.66666666667
or
3.67(rounded to the nearest tenth)
Step-by-step explanation:
2x 1/2 x3 2/3 = 3.66666666667
Ace Carlos
Developer
Answer:
=3 2/3
Step-by-step explanation:
2 x 1/2 x 3 2/3
2 x 1/2 = 2/2 = 1
1 x 3 2/3
=3 2/3
Please answer these series of questions! I will give high points and brainliest!
A. Reduce 3/51 to its simplest terms
B. Solve 7 divided by 3 (in fractions!)
C. 19 divided by 3 (fractions)
D. Reduce 50/80 to simplest terms
E. Reduce 9/14 to simplest terms
F. Reduce 36/54 to simplest terms
G. Solve 55 divided by 12 (fractions)
H. Reduce 9/153 to simplest terms
That’s all! ( please answer correct my life is depending on it, my mom will literally beat me up )
Answers
Answer:
A: 1/17 or decimal form: 0.058
B: 7/3 or mixed #: 2 1/3
C: 19/3 or mixed #: 6 1/3
D: 5/8
E: 9/14
F:2/3
G: 55/12 or mixed #: 4 7/12
H: 1/17
Step-by-step explanation:
12 to the fifth power divided by six to the third power
Answers
Answer:
1152
Step-by-step explanation:
This is it simplified.
Answer:
1152
Step-by-step explanation: 248832 over
63
=
248832
216
=1152
Brett picks tomatoes from his garden and bags them up to give to his neighbors. He starts with 36 bags of tomatoes and gives out 12 bags every hour until there are none left.
Use the Segment tool to plot a graph representing the number of bags of tomatoes Brett has left to give away from the time he starts giving them away until he has no bags left.
Answers
Answer:
I would start the graph at (0,36) and go down 12, right 1 until you reach the end of the graph
Step-by-step explanation:
Hope it helps
Drag the values into the boxes to classify each number as rational or irrational. picture below pls help quick.
Answers
Answer:
Step-by-step explanation:
Rational numbers;
Numbers which can be written in the form of [tex]\frac{p}{q}[/tex] or repeating decimal numbers are the rational numbers.
Examples : 1, 2, [tex]\frac{2}{3}[/tex]
Irrational numbers:
Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.
Example: [tex]\sqrt{8},\pi,\sqrt{\frac{8}{21} }[/tex]
From the given numbers,
Rational numbers: [tex]\frac{11}{3}[/tex], 6.25, 0.01045, [tex]\sqrt{\frac{16}{81} }[/tex], 0.424242....
Irrational numbers: [tex]\sqrt{48}, \sqrt{\frac{3}{16} }[/tex]
Write a recursive formula for the arithmetic sequence:
7,4,1,-2
Answers
a(sub)n = a(sub)n-1 - 3
(sub) indicates the values touching the parenthesis are written as a subscript.
The above would be the recursive formula as you are taking the previous number and subtracting 3 to get the next number in the sequence.
Answer:
N - 3
Step-by-step explanation:
It is a series of -3 so:
7 -3 = 4
4 - 3 = 1
1 - 3 = -2
So:
N-3
where N is the present value in the sequence.
In 2003, the average attendance per game for a football team was about (1 × 104) + (9 × 103) + (9 × 102). What is this number in standard form?
show work
Answers
Answer:
1.99 * 10^4
Step-by-step explanation:
Here, we want to write the addition in standard form
= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)
= 10,000 + 9000 + 900
= 19,900
so the number in standard form is;
1.99 * 10^4
Write as a product:
a2+b2–2ab –25
Answers
Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
A machine can print 300 t shirts in 10 mins. How many t shirts can the michine print in 1 min
Answers
Answer:
It can print 30 t-shirts in one minute
Step-by-step explanation:
300÷10=30
Answer:
30 in 1 minute
Step-by-step explanation:
300/10=30
can i get brainliest?
How long can you hold your breath? A statistical question or nonstatistical question
Answers
Answer:
nonstatistical
Step-by-step explanation:
Have a great day and hope this helps
Answer:
statistical
Step-by-step explanation:
i did it
please helpp mecwith this question
Answers
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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
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The correct answer is (( B )) .
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