See the diagram below. The angles 1,2, and 3 are interior angles as they are inside the triangle. The exterior angle is outside the triangle, formed by extending one side out.
Angle 4 is an exterior angle of the triangle. So Option D is correct
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The triangle LMN,
Angle L is 1,
Angle M is 2,
Angle N is 3
It can be seen in the diagram.
The angles 1,2, and 3 are interior angles as they are inside the triangle. The exterior angle is outside the triangle, formed by extending one side out.
Hence, the exterior angle is 4
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Two supplementary angles. One angle is 25 more than the second angle, find the measure of the second angle. The measure of the second angle is
Answer:
77.5°
Step-by-step explanation:
Let s represent the measure of the second angle. Then the first angle is s+25. These two angles are supplementary, so their sum is 180:
(s+25) +s = 180
2s = 155
s = 77.5
The measure of the second angle is 77.5°.
Simplify 4(3x - 1) = 2(6 + 2x)
14x - 13
8x -16
8 + 16x
14x + 13
Answer:
8 + 16x
Step-by-step explanation:
Which fractions are equivalent to 3/5 Check all that apply.
Answer:
12/20 21/35 30/50
Step-by-step explanation:
These are all equivalent fractions to 3/5.
Hope this helps!
The fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.
To determine which fractions are equivalent to 3/5, we need to find fractions that can be simplified to the same value.
The fraction 3/5 cannot be simplified further because 3 and 5 have no common factors other than 1.
Let's check each option:
A) 8/10 can be simplified to 4/5, which is not equivalent to 3/5.
B) 8/15 cannot be simplified further, but it is not equal to 3/5.
C) 12/20 can be simplified to 3/5, which is equivalent to 3/5.
D) 21/35 can be simplified to 3/5, which is equivalent to 3/5.
E) 30/50 can be simplified to 3/5, which is equivalent to 3/5.
Therefore, the fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.
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What is the translation for this graph?
Answer:
It's the second option
Step-by-step explanation:
The x moves over to the right for a positive 3
The y moves up for a positive 4.
Hope this helps! :)
1. Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings. Graph how
much money, y, he has after x hours of babysitting
Step 1:
Step 2
Step 3:
The required expression for the Digo earning is y = 10x and the graph of the expression is shown.
Given that,
Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let the hours of babysitting be x,
According to the question,
Hourly rate is $10 for x hour the total charge is,
y = 10x
Thus, the required expression for the Digo earning is y = 10x and the graph of the expression is shown.
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Between which two consecutive integers does 85 square lie
Answer:
:)
Step-by-step explanation:
9 & 10
go add the snap carmel.bratz
Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356
PLEASE HELP WILL GIVE BRAINLIEST PLSSSSS
Answer:
c
Step-by-step explanation:
What is 6 1/2 doubled?
Answer:
13
Step-by-step explanation:
6 1/2 x 6 1/2
or
6.5 + 6.5 =13
6+6=12
0.5 + 0.5=1
12+1=13
the double of 6 1/2 is 26/2, which simplifies to 13
To find the double of 6 1/2, we first convert the mixed number 6 1/2 to an improper fraction. We multiply the whole number (6) by the denominator (2), which gives us 12. Then, we add the numerator (1) to get 13. So, 6 1/2 as an improper fraction is 13/2.
To double this fraction, we multiply the numerator (13) by 2, resulting in 26. The denominator remains the same (2). Therefore, the double of 6 1/2 is 26/2, which simplifies to 13. In other words, doubling 6 1/2 gives us the whole number 13.
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what is 13,899 rounding to the thousands
Answer: 14,000
...............................
Answer:
Step-by-step explanation:
round 13,899 to the nearest thousands which would be
14,000
Convert 13/2 to a decimal using long division.
Answer:
6.5
Step-by-step explanation:
Divide 13 by 2 to get 6.5
Answer: 13/2 = 6 with a reminder of 1
Step-by-step explanation: Attached image should show you my work.
Respuesta de la expresión 5 + {4 * 6÷3+1+ [3-(4-8) + (3-2)] }
Answer:
Vota Trump
Step-by-step explanation:
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function
A:function only
B:Relation only
C:Neither function nor relation
D:Function and relation
Answer:
C:Neither funtion nor relation
C:Ni función ni relación
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
relation only
Step-by-step explanation:
A relation is a set of one or more ordered pairs.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.
Any vertical line drawn where x > -4 will cross the graph in more than one place.
Therefore, the graph is not a function, it is a relation only.
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
2.5 miles
Step-by-step explanation:
We know that: time = distance/speed
Now, if the distance of the school from Jonathan's home is y.
At speed of 15 mph, Jonathans time is; time = y/15 hours
At 25 mph, his mother's time was;
time = y/25 hours
We are told that Jonathan was 1 mile from home when he saw his mother.
Thus means that difference in time is;
Time difference = 1/15 hours
Thus;
y/15 hours - y/25 hours = 1/15 hours
Multiply through by 75 to get;
5y - 3y = 5
2y = 5
y = 5/2
y = 2.5 miles
If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?
Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years
-54 over 9=
can I have help
Answer:
-54 over 9= -6
These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals
Answer:
A. (the vertical scale)
2nd part is the Bottom graph
Step-by-step explanation:
Answer:
A. The Vertical Scale
Step-by-step explanation:
the other one has more value than the other....And i got it right from
---------------------------------------E D G E N U I T Y 2 0 2 0--------------------------------------
hope this helps. :P
Help please I’m so confused lol
Answer:
13
Step-by-step explanation:
Just substitute the x with a 4
4² - 4 + 1
16 - 4 + 1
12 + 1
What is 7+7 and 9-12
Answer:
Step-by-step explanation:
7+7= 14
And
9-12= -3
A bicyclist at White’s 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
Answer:
280 minutes.
Step-by-step explanation:
112/14=8
8*35=280
Harvey has 514 stamps. He places an equal number of stamps in 3 stamp books. How many stamps are in each book? Are there any stamps left over
8-3 is even or odd ammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
ummmm... odd
Step-by-step explanation:
Odd
Because if you try to multiply it would be it nothing would be equal to 8
which function has an inverse that is also a function?
Answer:
I think its the first one
The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).
What is an inverse function?An inverse function refer to a function which alter or cause changes to other function given.
Therefore, The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).
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A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in
Answer:
Longer piece: 50 in
Shorter piece: 10 in
Step-by-step explanation:
Lets make the shorter piece = x
Leta make the longer piece = 5x
Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.
x + 5x = 60 in
If we substitute the x to 10:
10 + 50 = 60 in
10 in = shorter length
50 in = longer length
Solve for x: 13x + 12] = 18
O = x
X = 2, X = -10
O x = 2, x = -2
O x = 10, x = -10
X = -2, x = 10
Answer = x= 0
Step-by-step explanation:
In a geometric series
If a1=6 and r=5 find s9
Answer:
I have no idea how to solve that but can you teach me how !
How many liters are in 260 ounces?
Answer:
7.68912
Step-by-step explanation:
Simplify the following expressions ?
-9x+9x^2+8x^2+4x
Answer:
-5x+17x^2
Step-by-step explanation:
Hope that helps good luck
9514 1404 393
Answer:
17x^2 -5x
Step-by-step explanation:
"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.
-9x+9x^2+8x^2+4x
= 9x^2 +8x^2 -9x +4x
= x^2(9+8) +x(-9+4)
= 17x^2 -5x
Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.
Answer:
Step-by-step explanation:
complex roots always occur in pairs.
roots are 1,2-2i,2+2i
P(x)=a(x-a)(x-b)(x-c)
P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]
=1(x-1)[(x-2)+2i][(x-2)-2i]
=(x-1)[(x-2)²-(2i)²]
=(x-1)[(x-2)²-4i²]
=(x-1)[x²-4x+4-4(-1)]
=(x-1)[x²-4x+4+4]
=(x-1)[x²-4x+8]
=x³-4x²+8x-x²+4x-8
=x³-5x²+12x-8
How far apart are parallel lines m and n such that T (ΔXYZ) = (Rn ∘ Rm)(ΔXYZ)?
Answer:
Parallel lines m and n are 6 units apart
Step-by-step explanation: