When two straight lines or rays intersect at a shared endpoint, an angle is generated. The measure of ∠3 is 31°.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Given that ∠2 and ∠3 are supplementary angles. Therefore, the sum of the two angles will be 180°. Thus, we can write the sum of the two angles as,
∠2 + ∠3 = 180°
Also, it is mentioned in the question that the measure of ∠2 is 149°. Therefore, substitute the value of ∠2 in the above equation.
149° + ∠3 = 180°
∠3 = 180° - 149°
∠3 = 31°
Hence, the measure of ∠3 is 31°.
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workings.
Karina is making a 3-digit number by choosing three different
numbers from the following list:
2, 4, 5, 7, 9
How many different 3-digit numbers could Karina make?
The number of different 3-digit number if each of those digits is only allowed to be used once is 60
How to determine the number of different 3-digit number codes if each of those digits is only allowed to be used once?The digits are given as:
2, 4, 5, 7, 9
There are 5 digits represented in the above list
If each of those digits is only allowed to be used once, then we have the following possibilities
First character: Any of the 5 digitsSecond character: Any of the remaining 4 digitsThird character: Any of the remaining 3 digitsThe number of 3-digit number codes is
Number = 5 * 4 * 3
Evaluate the product
Number = 60
Hence, the number of different 3-digit number if each of those digits is only allowed to be used once is 60
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Jerry has 4 2/3 cups of strawberries. He uses 2/12 cups of strawberries to make a breakfast smoothie. Jerry wants to use the remaining strawberries to make pancakes. If it takes 1 1/12 cups of strawberries to make one pancake, how many pancakes can he make?
Using simple fraction, Jerry can make 4 pancakes using the left strawberries.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.
Strawberries that Jerry has = 4 2/3 = 14/3cups
Strawberries used to make breakfast smoothies = 2/12cups
Left strawberries = 14/3 - 2/12
= 56 - 2 /12
= 54/12
Jerry uses cups to make pancake = 54/12 / 13 / 12
= 4 pancakes
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Find the 17 th term of each sequence. a₁₆ =21, d=-3
The 17th term of the arithmetic progression (A.P) is given as 18.
What is defined as arithmetic progression?An arithmetic progression (AP) is a succession in which the differences between each successive term are the same.
An arithmetic progression is a series in which each term (except the first) is derived by adding a fixed number to the term before it.The following arithmetic progression formulas are frequently used to solve various AP problems for the initial term 'a' of an AP and the common difference 'd':Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.nth term of an AP: an = a + (n - 1)dSum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l defines last term of an AP.Now, as per the given question;
16th term; a₁₆ = 21Common difference; d = -3Then, the 17th term will be;
Apply the difference formula;
d = a₁₇ - a₁₆
a₁₇ = a₁₆ + d
a₁₇ = 21 + (-3)
a₁₇ = 21 - 3
a₁₇ = 18.
Therefore, the value of the 17th term of an AP is found to be 18.
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State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.
The isometric view is when an object is viewed from a corner.
The sentence "The isometric view is when an object is viewed from a corner" is True.
Isometric projection is used in technical and engineering drawings. Isometric view is a technique for visually representing three-dimensional objects in two dimensions along a vertical line. It is a 3-D drawing which is set out using 30-degree angles.
The Bottom View, the Left Side View, and the Rear View are three views of isometric drawings. Isometric, dimetric and trimetric drawings are three types of axonometric drawings. Engineers, technical illustrators and sometimes architects use Isometric view.
The sentence "The isometric view is when an object is viewed from a corner" is True.
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Which of the following equations have infinitely many solutions?
Choose all answers that apply:
-6x +35= -6x - 35
6x+35=-6x - 35
-6x+35=-6x + 35
6x+35= -6x +35
Simplify the expression.
-5-2 / 4-7
The simplified form of expression is 7/3
To simplify the expression, the first step involves simplification of numerator. Then, next step is simplification of denominator. After this, the complete fraction will be simplified by division, to give the smallest fraction.
Firstly simplifying numerator -
Numerator = -5-2
Performing addition to simplify the numerator
Numerator = -7
Simplifying the denominator -
Denominator = 4-7
Performing subtraction to simplify the denominator
Denominator = -3
Now, simplifying the expression by writing the fraction -
Expression = -7/-3
Cancelling negative sign. Also, the numbers are not divisible further, so the fraction is in the simplified form.
Expression = 7/3
Hence, the simplified expression is 7/3
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An octagon has all equal side lengths and angle measures. a point is at the center of the octagon. what is the smallest angle of rotational symmetry for the regular octagon? °
There is a regular octagon with n = 8 sides. The minimum rotational symmetry angle is,
= 360/n
= 360/8
= 45 degrees.
Rotating this amount does not change the regular octagon. The front and back look the same.
Suppose that we are given a regular polygon with N sides, the angles of rotational symmetry are:
A = n * 360° / N
where n can take values = 1, 2, N, and there are N different angles. It is the minimum rotational symmetry when n equals 1.
So, in this case,
A = 360 / N , R = 30°
And we want to find the number N.
30° = 360° / N
N = 360° / 30°
N = 12
This means that a regular polygon has 12 sides.
12 Upright Step by step:
360° ÷ 8 = 45°
8 because the octagon has 8 sides.
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Answer:
45 Degrees
Step-by-step explanation:
just answered <3
What is the volume of the medium box
Answer:
Volume = Length × Width × Height. Use this formula.
degree of monomial 2a^6b^3
Answer:
6th degree monomial
Step-by-step explanation:
The highest exponent is 6. Therefore, the monomial is a 6th degree monomial.
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Isaac deposits $2,500 into an account that pays 4.75% interest
compounding continuously. How long will it take to double his
initial investment? Show all work for full credit and round your
answer to two decimal places.
Answer:
14.59
Step-by-step explanation:
The key words in this problem is that you are compounding continuously, so that would be a equals p e to the r t power to show you that formula, and so when it says you have 2500 in the account e to the .4 excuse me, 0.0475 t Power is equal to, it says, doubling the investment, and so you just have to think about your doubling the investment you're going to take 2500 times to do it. The first thing i would do, then, is to divide the 2500 over which actually cancels out this 2500 point so you're. Looking at e to the .0475 t, power is equal to 2 right, 4.75 percent, so to solve for t want to natural log, both sides- i forgot my t in there so to solve for t natural log of 2 divided by 0475, so it takes about 14.593 Years or, however, you're supposed around it says: 2 decimals soul be 14.59
Michelle wants to buy a new 256 GB iPhone 11 that costs $849. She has $200 in savings and needs to earn the rest. If Michelle currently works at Subway and earns $12.50 per hour, which equation best represents this scenario?
The binary string 01001010001100 is a floating point number expressed using the 14-bit simple model given in your text. (there are no implied bits.) what is its decimal equivalent?
The binary string 01001010001100 is the number 9496 in decimal format.
This is further explained below.
What is its decimal equivalent?Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.
For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.
As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.
The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).
If there are any zeros in the provided number, the results of those locations will also be zero.
In conclusion, binary string 01001010001100 will be the figure
2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496
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Find unit rates to solve these rodeo problems.
1. Grady has been thrown off the bull 156 times in his last 52 rodeo events. The number of falls per event is:
Responses
104
3
4
1/3
The number of falls per event is 3 (second option).
What is the number of falls per event ?The number of falls per event can be determined by using the mathematical operation, division. Division is the process of splitting an amount into equal parts using another number. For example, to divide 12 by 3, 12 has to be divided into equal parts using 3.
The sign used to represent division is ÷. The other operations used in mathematics are addition, subtraction and multiplication.
The number of falls per event = total times Grady fell off the horse / number of rodeo events
156 / 52 = 3 times
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Solve 3 x + 1 = − 5 by graphing. Then find the x- and y-intercepts.
From drawing the graph of the function 3x + y = -5, we can tell that the x and y intercepts are respectively; x = -5/3 and y = -5
How to graph linear equations?We are given the Linear equation as;
3x + y = -5
Now, the y-intercept of the function is the point where x = 0. Thus, we plug in 0 for x to get the y-intercept.
3(0) + y = -5
0 + y = -5
y = -5
Similarly, the x-intercept will be the point when y = 0. Thus, we plug in 0 for y to get the x-intercept;
3x + 0 = -5
3x = -5
x = -5/3
From drawing the graph of the function 3x + y = -5, we can tell that the x and y intercepts are respectively; x = -5/3 and y = -5
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Find each difference.
2(2/3) - 7(1/3)
The answer is - 14/3.
How to find the difference?The outcome of subtracting one number from another is difference.
The quantity difference between two numbers is what it alludes to.
Given,
2(2/3) - 7(1/3)
Solution:
2(2/3) - 7(1/3) = 8/3 - 22/3
= - 14/3
The answer is - 14/3.
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 4 grams and the amount of gold in each necklace is 20 grams. The jeweler made a total of 14 bracelets and necklaces using 120 grams of gold. Graphically solve a system of equations in order to determine the number of bracelets made, x,x, and the number of necklaces made, y.
The number of bracelets will be 10 and the number of necklaces will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A predetermined quantity of gold was available to a jeweler to create bracelets and necklaces. Each bracelet has 4 grams of gold, and each necklace contains 20 grams of gold. The jeweler used 120 grams of gold to create a total of 14 bracelets and necklaces.
Let x be the number of bracelets and y be the number of necklaces. Then the equation will be
x + y = 14 ...1
4x + 20y = 120 ...2
From equations 1 and 2, then we have
4x + 20(14 - x) = 120
4x - 20x + 280 = 120
16x = 160
x = 10
Then the value of y will be
10 + y = 14
y = 14 - 10
y = 4
Thus, the number of bracelets will be 10 and the number of necklaces will be 4.
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HELP ASAP!!!The circumference of a circle is 6 pi meters. Find the radius of the circle
3
Step-by-step explanation:
radius is just the diameter cut in half.
HELP SSP SHOW UR WORK WILL BRAINLEST SND 10 points
Answer: number 1. 4 number2. 7
Step-by-step explanation:
I hope this helps!
Answer:
Step-by-step explanation:
1. Given
Jordan paid $550
from $550 $240 is for the parts
he paid $65 per hour
so 550-240
= 310
then if
1 hour = $65
? =$310
310*1/65
=4.76 hour
final answer for first question is 4.76 hour
If {10x+3y=2}10x+3y=2 is a true equation, what would be the value of \{10x+3y+7}10x+3y+7?
Answer:
9
Step-by-step explanation:
given
10x + 3y = 2
then
10x + 3y + 7
= 2 + 7
= 9
(Laws of Exponents with Whole Number Exponents LC)
Which expression is equivalent to 2.3 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power?
2.5^3
2.5^15
2.3 raised to the eighth power divided by 0.9 raised to the seventh power
2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power
The equivalent expression for the given expression is [tex]\frac{2.3^{15}}{0.9^{12}}[/tex]. Therefore, option D is the correct answer.
The given expression is [tex](\frac{2.3^{5} }{0.9^{4} } )^{3}[/tex].
We need to find the equivalent expression for the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even when they seem different. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Use [tex](\frac{a}{b} )^{m}=\frac{a^{m}}{b^{m}}[/tex] and [tex](a^{m} )^{n}=a^{m\times n}[/tex] to solve the given expression.
Now, [tex](\frac{2.3^{5} }{0.9^{4} } )^{3}=\frac{(2.3^{5})^{3} }{(0.9^{4})^{3} }[/tex]
[tex]=\frac{(2.3^{5\times3})}{(0.9^{4\times3})}[/tex]
[tex]=\frac{2.3^{15}}{0.9^{12}}[/tex]
The equivalent expression for the given expression is [tex]\frac{2.3^{15}}{0.9^{12}}[/tex]. Therefore, option D is the correct answer.
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simplify log 25 + log 3
Answer:
log 75.
Step-by-step explanation:
log 25 + log 3
= log (25*3)
= log 75
This is one of the laws of logs.
Find the ninth and tenth terms of each arithmetic sequence. 1,8,15,22, . . . .
The ninth and tenth term of the given arithmetic progression are: 57, 64.
What is arithmetic progression?A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.Given: 1, 8, 15, 22 (AP)
Here, a₁ = 1, d = 8-1 = 15 - 8 = 22 - 15 = 7
Thus, in the formula: [tex]a_n=a_1+(n-1)d[/tex],
For n = 9, a₉ = 1 + 8(7) = 57
For n =10, a₁₀ = 1 + 9(7) = 64.
Hence, The ninth and tenth term of the given arithmetic progression are: 57, 64.
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If the domain of f is all real numbers in the interval [0, 7] and
the domain of g is all real numbers in the interval [-2, 5], the
domain of f + g is all real numbers in the interval______
=========================================================
Explanation:
Draw two parallel number lines as shown in the diagram below. Make sure the numbers line up.
The first number line has the interval [0,7] which is the same as writing 0 ≤ x ≤ 7
We have closed circles at 0 and 7. Then there's shading in between those endpoints.
Similarly, the other interval [-2, 5] represents -2 ≤ x ≤ 5. It has shading between the closed circles at -2 and 5.
The red dashed lines represent the portions where the two number lines overlap. This is from x = 0 to x = 5
The sub-interval 0 ≤ x ≤ 5 is found in both domains, and hence it's the domain of f+g
That turns into the interval notation of [0, 5]
(3x3+4x2)−(2x3+3x2−x
Answer:
9+8-6+6=29
Step-by-step explanation:
MATHAMATICS please check this i don't know x or×
Derlene,vonzell,eric, and daimond went to the mall.Darlene spents $45,vozell spents $57 and eric spents $22.If altogether they spent $144,how much did diamond spent
A cube has a volume of 125/8cubic inches. What is the edge length of the cube?
Ans:- All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.wer:
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Answer:
s = [tex]\frac{5}{2}[/tex] in
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the edge length )
given V = [tex]\frac{125}{8}[/tex] in³ , then
s³ = [tex]\frac{125}{8}[/tex] ( take cube root of both sides )
[tex]\sqrt[3]{s^3}[/tex] = [tex]\sqrt[3]{\frac{125}{8} }[/tex]
s = [tex]\frac{\sqrt[3]{125} }{\sqrt[3]{8} }[/tex] = [tex]\frac{5}{2}[/tex] ( = 2.5 , in decimal form )
I need to find the angle measure and am not sure how to
Answer: 13. m<TEA=58 degrees
14. m<TEF=37 degrees
Step-by-step explanation:
TEA=FEA+TEF ==> Angles FEA and TEF make up angle TEA
FEA=TEF ==> TEA was bisected to form FEA and TEF, so FEA and TEF are equal since the line EF has an equal distance from lines ET and EA.
13.
TEA=FEA+FEA
TEA=29+29
TEA=58
m<TEA=58 degrees
14. TEA=TEF+TEF
74=2 * TEF
74/2=TEF
TEF=37
m<TEF=37 degrees
raic Approach:
3. Your school is putting on a play and printed a total of 500 programs to hand
out to audience members. The audience members are filing into the theatre at a
constant rate, and you notice that 20 programs are being handed out per minute
After 25 minutes we will run out of the programs for the play.
An arithmetic sequence will yield a graph that is a straight line. A sequence is an arrangement of numbers in a particular pattern. The nth term of an arithmetic sequence is expressed as nth term of the expression in form of the equation of a straight line is y = mx + b where;
m is the slope, b is the intercept, slope = d, y-intercept b = a -d.
total programs = 500 (given)
rate at which the audience members are filing into the theatre=20/minute
(given)
the equation formed by analyzing the given data is
y = 500 - 20x
(x is the intercept that is the time taken to finish the programs )
for the programs to be finished y should be = 0
0 = 500 - 20x ( putting value of y = 0)
500 = 20x ( like terms on same side and unlike on different)
x = 500/20
x = 25 minutes
Therefore, we can conclude that after 25 minutes we will run out of the programs for the play.
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Cindy paid $34.60 for tickets to a movie. How much would it cost for 7 tickets?
The cost of 7 tickets will be $242.20.
What will be the cost of 7 tickets?In order to determine the cost of 7 tickets, the mathematical operation that would be used is multiplication. Multiplication is the process of determining the product of two or more numbers.
Multiplication is the process used to determine the result when a number is taken times. The sign used to represent multiplication is x. Other mathematical operations are addition, division and subtraction.
In order to determine the cost of 7 tickets, the cost of one ticket would be multiplied by 7.
Cost of 7 tickets = cost of one ticket x 7
$34.60 x 7 = $242.20
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How to solve with elimination
Solutions are different there 3 pictures click on one picture and there they will give a solution
Step-by-step explanation:
Good luck
