Determine the measure of the interior angle at vertex E. A. 135 B. 67.5 C. 60 D. 90
Answers
Answer:
90
Step-by-step explanation:
Why cant people just answer questions without guessing or answer them correctly.
Related Questions
Plot this on graph
2x+4y=8
Answers
Find some points
(0,2)(2,1)(4,0)Graph attached
The local high school is hosting the last soccer game. They charged adults, x, 5 dollars to enter, and 3 dollars for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x + 3y > 300
x + y = 75
Which of the following points is a solution to the system?
(20, 15)
(25, 70)
(30, 45)
(40, 35)
IVE HEARD (30, 45) AND (40, 35). PLEASE HELP.
Answers
The correct answer is (40, 35) because by plugging in, 40 +35 = 75 and
(40 x 5) + (35 x 3) > 300
How to solve Word Problem ?Word problem can be solved by interpreting the problem into its best fit equation. The equation may be linear, quadratic or simultaneous equations.
Given that
5x + 3y > 300
x + y = 75
Let us first assume that 5x + 3y = 300. That is,
5x + 3y = 300
x + y = 75
Eliminate y by multiplying equation 2 by 3
5x + 3y = 300
3x + 3y = 225
2x = 75
x = 75/2
x = 37.5
Substitute x in equation 2
37.5 + y = 75
y = 75 - 37.5
y = 37.5
The correct answer is (40, 35) because 40 +35 = 75 and
(40 x 5) + (35 x 3) > 300
Therefore, the solution to the system is (40, 35)
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if three pies require 2 dozen apples, then four bird require ? dozen apples?
Answers
Step by step
we know 2 dozen apples is 24 apples
We know 24 apples per 3 pies
To get the rate per pie, divide 24 apples per 3 pies
24/3 = 8 apples per pie
Now multiply 8 apples x 4 pies = 32 apples
Now we need to answer in how many dozen apples. Divide 32 by 12 (1 dozen)
Answer is 2.66 dozen apples or 2-2/3 dozen apples
Joe is thinking of an integer. The opposite of his number is greater than
the number itself. Which of the following must be true of Joe’s number?
Answers
Answer: Joe's number is a negative number.
Since the number's opposite is greater in value, the number's value is in the negatives.
Can 1775 dollars buy 2 large balloons and 16 small balloons 1 large balloon = 300 cubic feet 1 small balloon - 40 cubic feet helium costs $1.60 per cubic foot
Answers
No, 1775 dollars cannot buy 2 large balloons and 16 small balloons if helium costs $1.60 per cubic foot.
Calculating the Costs of Balloons
It is given that,
Helium costs $1.60 per cubic foot.
Volume of one large balloon = 300 cubic feet
Thus, the price of one large balloon = $1.60 × 300
= $480
Volume of one small balloon = 40 cubic feet
Thus, the price of one small balloon = $1.60 × 40
= $64
How much buying 2 large and 16 small balloons costs?
So, as calculated above,
One large balloon costs $480, and one small balloon costs $64
Therefore, the cost of two large balloons = $480 × 2
= $960
Cost of 16 small balloons = $64 × 16
= $1024
Total cost of balloons = $960 + $ 1024
= $1984
Since, $1984>$1775,
Therefore, $1775 cannot buy all those balloons if helium costs $1.60 per cubic foot.
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Quick algebra 1 question for 15 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Answers
The cost per person if number of students is 100 given the inverse variation is $46.75
Inverse variationCost per person = CNumber of students = nC = k / n
where,
k = constant of proportionalityIf n = 55 and C = $85
C = k / n
85 = k / 55
85 × 55 = k
4,675 = k
Find C if n = 100
C = k / n
= 4,675 / 100
C = $46.75
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Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation of $75. What is the probability a random families' bill is between $350 and $400
Answers
There is a 0.02275 to 0.0968 chance that a random family's bill will be between $350 and $400.
Calculating the probabilityProvided that,
Mean of the population = 500
The standard deviation(S.D) of the population = 75
Assume,the variable in normal distribution = X
Z= (x- mean)/ S.D
Provided , x = $350 - $400
Z= 350-500/75 = -2(when x=$350)
Z= 400-500/75 = -1.3 (taken x= $400)
The probability that a household will spend between $350 and $400 monthly
P(350>X<400) = P( -2>Z<-1.3)
= 0.02275 to 0.0968 (from probability table)
Therefore, the final answer is 0.02275 to 0.0968.
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7 cm
D
What is the sum of the areas of circle C and circle D?
O7ft units²
O 14 units²
O 49 units²
O98 units²
Answers
The sum of areas of circle C and circle D exists 98 square units.
How to estimate the sum of the areas of circle C and circle D?Given: Radius of circle = 7 units
Area of circle [tex]=\pi r^2[/tex] ..............(1)
Where, r be the radius of circle
The radius of circle C, r = 7 units
(1) becomes
Area of circle, C [tex]= \pi 7^2[/tex] square units
[tex]= 49\pi[/tex] units²
Area of circle, D [tex]= \pi 7^2[/tex] square units
[tex]= 49\pi[/tex] units²
Sum of areas of circles C and D,
= Area of circle C + Area of circle D
= 49 + 49
= 98 units²
The sum of areas of circles C and D exist 98 units².
Therefore, the correct answer is option d) 98 units².
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Find the missing value so that the two points have a slope of 1/2.
(9, 1) and (3, y)
Please explain
Answers
Answer: -2
Step-by-step explanation:
Substituting into the slope formula,
[tex]\frac{y-1}{3-9}=\frac{1}{2}\\\\y-1=-3\\\\y=-2[/tex]
Answers are 1/3, 1/2, and 1/4 (not respectively). But can someone tell me how to get there please?
Answers
The value of X is 1/3 and Y is 1/2 and Z is 1/4.
According to the statement we have given the equations which are
X + Y = 5XY -(1)
Y + Z = 6YZ -(2)
Z + X = 7XZ -(3)
and we have to find the value of X,Y,Z.
So, solve the equations for the X,Y,Z
From (1) equation
Y = X / (5X-1) -(4)
From (3) equation
Z = X / (7X-1) -(5)
Put (4) and (5) in (2) then
X / (5X-1) + X / (7X-1) = 6{[X / (5X-1)][X / (7X-1)]}
X(7X-1) + X(5X-1) = 6{[X / (5X-1)][X / (7X-1)]} / {[1 / (5X-1)][1 / (7X-1)]}
Then after solving
12(X)^2 -2X = 6(X)^2
6(X)^2 -2X = 0
X (6X-2) = 0
X = 0, X = 1/3
Here X = 0 is neglected.
So, X=1/3 -(6)
Put (6) in (4) and (5) then
From 4
Y = X / (5X-1)
Y = (1/3) / (5(1/3)-1)
Y = (1/3) / (2/3)
Y = 1/2.
From (5) equation
Z = X / (7X-1)
Z = (1/3) / (7(1/3)-1)
Z = (1/3) / (4/3)
Z = 1/4.
So, The value of X is 1/3 and Y is 1/2 and Z is 1/4.
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What are the domain and range of g of x equals negative 3 times the square root of the quantity x minus 1? D: (1, ∞) and R: (0, ∞) D: [–3, ∞) and R: [0, ∞) D: (–3, ∞) and R: (–∞, 0) D: [1, ∞) and R: (–∞, 0]
Answers
The domain of the function is [1, ∞) and the range is [0, ∞)
How to determine the domain and the range?The equation of the function is given as:
g(x) = 3√x - 1
The domain is the possible values of x.
Set the radicand to greater than or equal to 0
x - 1 >= 0
Add 1 to both sides
x >= 1
This can be rewritten as:
[1, ∞)
Breakdown
g(x) = 3√x - 1
x - 1 >= 0
x >= 1
[1, ∞)
The range is the possible values of y.
Set the radicand to 0
g(x) = 3 * 0
Evaluate the product
g(x) = 0
This can be rewritten as:
[0, ∞)
Breakdown
g(x) = 3√x - 1
g(x) = 3 * 0
g(x) = 0
[0, ∞)
Hence, the domain of the function is [1, ∞) and the range is [0, ∞)
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Answer:
Correct answer is D: [1, ∞) and R: (-∞, 0]
Step-by-step explanation:
Insert the given function on desmos to observe the following explanation.
The domain (x values) begin at 1, and go on to positive infinity (the squared bracket indicates a stop/start at that certain point). The range goes into negative infinity (y values) and begins at the y value of 0, so it does not go above that point on the y axis (hence the squared bracket).
Question 6
10 pts
Which is a counterexample for the following biconditional: "A figure is a quadrilateral if and only if it
is a polygon"?
Answers
Answer:
Trapezium, Rhombus, Kite, etc.
Step-by-step explanation:
A four - sided figure.
The name of a counterexample for the following biconditional: "A figure is a quadrilateral if and only if it is a polygon" is Triangle.
Used the concept of the polygon that states,
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded by straight sides.
Given the condition is,
"A figure is a quadrilateral if and only if it is a polygon"
Now, we know that;
If a polygon is a quadrilateral, then it has four sides, and if a polygon has four sides, then it is a quadrilateral.
Hence, Triangle is a counterexample for the biconditional "A figure is a quadrilateral if and only if it is a polygon."
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Which of the following polynomials has a remainder of 24 when divided by x+2?
A. 4x3+2x2+5
B. 3x3+6x−2
C. −2x3+4x2+3x−2
D. x3−2x2−4x+1
Answers
Option C is the correct choice [tex]-2x^4+4x^2+3x-2[/tex],
Remainder of a polynomial by substitution
For a polynomial f(x) to give a remainder of 24 when divided by x + 2:
f(-2) = 24
By testing, substitute x = -2 into the equation [tex]-2x^4+4x^2+3x-2[/tex]
[tex]f(x) = -2x^3+4x^2+3x-2\\\\f(-2)=-2(-2)^3+4(-2)^2+3(-2)-2\\\\f(-2)=-2(-8)+4(4)-6-2\\\\f(-2)=16+16-8\\\\f(-2)=32-8\\\\f(-2)=24[/tex]
Since f(-2) = 24 when x = -2 is substituted into [tex]-2x^4+4x^2+3x-2[/tex], then [tex]-2x^4+4x^2+3x-2[/tex] has a remainder of 24 when divided by x+2
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The Renaissance and the Reformation are often described as eras that had many great advancements. In your opinion, what were the most important changes and advancements that occurred
Answers
It's common to hear people say that the Renaissance and Reformation saw numerous significant developments.
Why was Reformation important to the Renaissance?While the Reformation paved the way for the division of religion, the Renaissance paved the way for growth in art and architecture. The main distinction between the Renaissance and the Reformation is this.What impact did the Renaissance have on the Reformation?
According to Palmer, the intellectual activities of the Renaissance stimulated the market for books, inspired people to read more, and inspired them to consider how to alter the present, all of which contributed to the Reformation. Rereading the Bible was one of them, as Luther did.Why was the Renaissance important?
The Renaissance period cultivated a new change in art, knowledge, and culture.
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If the value the discriminant is exactly O,
what is true about the graph of the
quadratic equation?
Answers
PLEASE HELP!! ILL GIVE BRAINLESS!!
Question 7(Multiple Choice Worth 5 points)
(05.01 MC)
An architect is creating a scale drawing of a school computer lab. The length of the lab is 36 feet and the width of the lab is 48 feet. If each 12 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?
A) A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm and the width is labeled as width equal to 8 cm.
B) A rectangle is shown. The length of the rectangle is labeled as length equal to 3 cm and the width is labeled as width equal to 4 cm.
C) A rectangle is shown. The length of the rectangle is labeled as length equal to 12 cm and the width is labeled as width equal to 24 cm.
D) A rectangle is shown. The length of the rectangle is labeled as length equal to 24 cm and the width is labeled as width equal to 36 cm.
Answers
Answer:
A.
Step-by-step explanation:
36/12 = 3
3*2 = 6 cm
48/12 = 4
4*2 = 8 cm
POINTS!!!! PLS HELP LOOK AT PIC
Answers
Answer:
first option
Step-by-step explanation:
two solutions means 2 cutting points
The table shows how far a distance runner has traveled since the race began. what is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?
Answers
The average rate of change will be 5 miles per hour from 0.75 to 1 hour.
The average rate of change is the ratio of change in the y-value or the function value by the change in the x-value.
So according to the question,
the interval between 0.75 to 1 hour is =1-0.75=0.25 hour.
At 0.75 hours elapsed, the distance traveled is 3.5 miles
at 1 hour elapsed, the distance traveled is 4.75miles.
during the interval, 0.75 hours to 1-hour distance travelled=4.75-3.5=1.25 miles.
the average rate of change will be = change in distance traveled during the interval/interval time.
=(4.75-3.5)/(1-0.75)=1.25/0.25=5 miles per hour
Therefore the average rate of change will be 5 miles per hour from 0.75 to 1 hour.
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Answer:
B
Step-by-step explanation:
If you don’t want to read
What is the slope of the line through (-1,8)(−1,8)left parenthesis, minus, 1, comma, 8, right parenthesis and (3,-4)(3,−4)left parenthesis, 3, comma, minus, 4, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction (Choice B) B 333 (Choice C) C -\dfrac13− 3 1 minus, start fraction, 1, divided by, 3, end fraction (Choice D) D -3−3
Answers
The slope of the line through the points is -3
How to determine the slope?The points are given as:
(-1, 8) and (3, -4)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (-4 - 8)/(3 + 1)
Evaluate the expression
m = -3
Hence, the slope of the line through the points is -3
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The slope of the line that passes through (-1, 8) and (3, -4) is: -3.
How to Find the Slope of a Line?Slope of a line (m) = change in y / change in x.
Given the points, (-1, 8) and (3, -4):
Slope (m) = (-4 - 8)/(3 - (-1))
Slope (m) = (-12)/(4)
Slope (m) = -3
Thus, the slope that passes through the given points is: -3.
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Volume=
Help me please thanks so much
Answers
Answer:
30.7
Step-by-step explanation:
It's 30.7 because 707/23
Answer:
16261 u3
Step-by-step explanation:
V = (base area)(height)=(707)(23)= 16261 u3
Hope this helps
Can someone help me please
Answers
The simplified form of the expression is x-4 + 2/x-2
Synthetic division of equationGiven the following fraction below
f(x) = x^2 + 2x - 6/x-2
Using the long division as shown below;
x + 4
x-2 | x^2 + 2x - 6
x^2 - 2x
_________________
4x - 6
4x - 8
___________________
2
Hence the simplified form of the expression is x-4 + 2/x-2
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5. Factor
x²-x-72
(x-8)(x+9)
(x-6)(x+12)
(x+6)(x-12)
(x+8)(x-9)
Answers
Answer:
(x + 8)(x - 9)
Step-by-step explanation:
(x+8)(x-9)
= x² - 9x + 8x - 72
= x² - x - 72
Then
The factorization of x² - x - 72 is (x+8)(x-9)
Find the surface area of the prism. Round to the nearest tenth if necessary.
Answers
The surface area of the prism is 544 mm²
How to determine the surface area
The formula is given thus;
SA=2B+ph
Where
B = area of the base
p = perimeter of the base
h = height
B = 1/2 h(b1+b2)
B = [tex]\frac{1}{2} * 8 * (17 + 9)[/tex]
B = 108 mm²
Perimeter = sum of length of sides
Perimeter = 17 + 9 + 15
Perimeter = 41 mm
Surface area = 2 ( 108 ) + 41 ( 8)
Surface area = 216 + 328
Surface area = 544 mm²
Thus, the surface area of the prism is 544 mm²
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what should be added to 3x³-5x²+7x-4 to get 7x³+2x²-3x+9
Answers
Answer:
Let the number be a.
==: a + (5x³-2x²+3x+7) = (7x³+7x-5)
==: a = (7x³+7x-5) - (5x³-2x²+3x+7)
==: a = 7x³ + 7x - 5 - 5x³+ 2x² - 3x - 7
==: a = 2x³ + 2x² + 4x - 12
i guess this is the process if you don't understand i can explain more
On a certain math exam, $10\%$ of the students got 70 points, $25\%$ got 80 points, $20\%$ got 85 points, $15\%$ got 90 points, and the rest got 95 points. What is the difference between the mean and the median score on this exam
Answers
What must be added to x² + 6x²-x+ 5 to make it exact divisible by (x + 3)
Answers
Let f(x) = x² + 6x²-x+ 5 then ,
number to be added be P
then,
f(x) = x² + 6x²-x+ 5 +P
According to the qn,
(x+3) is exactly divisible by zero then,
R=0
comparing .. we get a= -3
now by remainder theorm
R=f(a)
0=f(-3)
0=(-3)² + 6(-3)²-(-3)+ 5 + P
0= 9 + 54 + 3 + 5 + P
-71=P
therefore, -71 should be added.
Hope you understand
Find the missing angle.
Answers
The missing angle of the right trapezoid is 126°.
Quadrilaterals
There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. The trapezoid is a quadrilateral that presents at least one set of parallel sides and the sum of the internal angles is 360°. The trapezoid classifications are:
Right trapezoid - it presents two right angles.Isosceles trapezoid - it presents the congruent non-parallel sides.Scalene trapezoid - it is one in which the non-parallel sides are not congruent.From the figure, it is possible to see that the image has two right angles. Thus, you have a right trapezoid.
Therefore, from the sum of internal angles, you can find the missing angle:
u+54+90+90=360
u=360-234
u=126
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can someone please help me?
answer choices:
A. sin (0)
B. cos (0)
C. sin (3/2)
D. cos (3/2)
E. sin ()
F. cos ()
Answers
Answer:
B, cos(0)=1
Step-by-step explanation:
cos(0)=1
Coordinate A is at point (1,0)
A streetlight is at the top of an 18ft tall pole. A woman 6 ft tall walks away from the pole at a speed of 4 ft/sec along a straight path. How fast (in ft/sec) is the tip of her shadow moving away from the pole when she is 45 ft from the base of the pole
Answers
The woman's shadow is moving away from the pole at the speed of 4 feet/sec.
Calculating the value of shadow speedThe height of a pole-mounted street light = 18 ft
The height of a lady = 6 ft
The woman is moving quickly and directly away from the pole. Her speed = 4ft/sec.
The woman's distance from the pole at the precise moment question want to know the speed of the woman's shadow's leading edge = 45ft
A woman standing 6 feet tall moves away from the pole in a straight route at a pace of 4 feet per second. If we assume that t is the passing time in seconds and that x is the distance in feet between the pole and the lady, we are informed that dx/dt=4 ft/sec.
Therefore, it is concluded that the final answer is 4 ft/sec.
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Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.
I need to make an sequence for both of them and I need help
Answers
Rule 1:
1, 3, 7, 15, 31, 63, 127, 255, 511, 1023 etc
Rule 2:
40, 24, 16, 12, 10, 9, 8.5, 8.25, 8.125, 8.0625 etc
Hope this helps!
The first sequence is 1,3,7,15,31 and second sequence is 40,24,16,12,10.
Given that first rule is that multiply by 2 then add 1 starting from 1 and second rule is that divide by 2 then add 4 starting from 40.
We have to find the sequences for each rule.
We have to start from starting point and then apply the rule to find the sequence.
Sequence of rule 1:
Second term of sequence=2*1+1=3
Third term of the sequence=2*3+1=7
Fourth term of the sequence=2*7+1=15
Fifth term of the sequence=2*15+1=31.
Sequence will be 1,3,7,15,31.
Sequence of rule 2:
Second term of sequence=40/2+4=24
Third term of sequence=24/2+4=16
Fourth term of sequence=16/2+4=12
Fifth term of sequence=12/2+4=10
Sequence will be : 40,24,16,12,10.
Hence the first sequence is 1,3,7,15,31 and second sequence is 40,24,16,12,10.
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