On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.
What are similar angles?Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.
Given:
m ∠1 = m ∠2
m ∠2 = m ∠4
We have to prove that m ∠ABC = m ∠EDC
∠EDC = ∠3 + ∠4
m ∠ABC = m ∠1 + m ∠2
m ∠EDC = m ∠3 + m ∠4
m ∠1 + m ∠2 = m ∠3 + m ∠4
m ∠ABC = m ∠EDC
Hence, by using the given information we can prove that
m ∠ABC = m ∠EDC.
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A surveyor has a surveyed a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up the unknown side of the plot to the nearest foot
Answer:
tanga bono ulaga kase tatamadtamad
Solve this math problem.
Therefore ,the value of a given fraction is equal to 10/12, which equals 5/6, after resolving the given problem.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the excess to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or reduction of a complex fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces.
Here,
Given : 5/8 X 4/3
=> 5/8 X 4/3 = 20/24
on condensing,
10/12 = 5/6
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Please please help!!!!
Answer:
280 inches
Step-by-step explanation:
8 x 8 = 64
9 × 24 = 216
64 + 216 = 280
Two lines, A and B, are represented by equations given below:
Line A: y = x − 2
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
Group of answer choices:
A) (−3, −5), because the point does not lie on any axis
B) (−3, −5), because the point satisfies both equations
C) (−4, −8), because the point satisfies one of the equations
D) (−4, −8), because the point lies between the two axes
What is 46-2004asdfgh
Answer:
if it is 46-2004 then the answer is -1958
Step-by-step explanation:
All exponential functions can be written in many forms. Write the function f(t)=90,000(1.3)^t in the form f(t)=ab^t/5. Round all coefficients to four decimal places.
The expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
What is an exponential function?A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given that, we have to express the function [tex]f(t) = 90,000(1.3)^t[/tex] in the form of [tex]f(t) = ab^{\frac{t}{5} }[/tex]
Comparing both the functions,
[tex]b^\frac{t}{5} = (1.3)^t[/tex]
We can write, [tex](1.3)^t[/tex] as
[tex](1.3)^t = (1.3^5)^\frac{t}{5}[/tex]
[tex]= 3.71^\frac{t}{5}[/tex]
Therefore, the equation ca be written as, [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
Hence, the expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
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Any help please, - What is the area for this?
Answer:
109.18
Step-by-step explanation:
Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.
What is 46% of 388
Please help me
Answer:
178.48
Step-by-step explanation:
We are asked what is 46 percent out of 388.
To solve this, we need to follow the formula when finding the percentage of a number.
P being the percentage
X being the number
Y being the answer, the forumla is
Y = P * X
Substitute :
Y = 46% * 388
Convert the percentage into a decimal,
46%/100
0.46
Y = 0.46 * 388
Multiply :
178.48 = 0.46 * 388
178.48
your welcome btw
When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the first die is 3 or that doubles are rolled.
Step-by-step explanation:
The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:
From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.
Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:
P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136
which of the following could be effectively used to reduce friction (a) water (b)petrol (c) kerosene (d) grease
Answer:
( d ) grease
Step-by-step explanation:
Grease could be effectively used to reduce friction.
(REPOST) PLS HELP Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of this box?
192in³
275in³
37512 in³
425in³
Answer:
4 x 8.5 x 12.5 =425 (multiple hight x width x length)
The volume of the box is [tex]425in^{3}[/tex]
Answer:
425 in³
Step-by-step explanation:
V = whl
12 1/2 · 8 1/2 · 4 = 425
CORRECT ANSWERS ONLY, IF YOU SEND ME A LINK THEN YOU WILL BE REPORTED.
Which of these is NOT a statistical question?
A.
What were the sixth grade student scores of the final exam?
B.
How many boxes of candy did each member of SGA sell?
C.
How many apps do my classmates have on their phones?
D.
Which class had the highest average on the pre-test?
Answer:
A.
What were the sixth grade student scores of the final exam?
pls help and give only correct answers
Answer:b
Step-by-step explanation:
i took that test
If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
Answer:
b.) x= 6, m∠XOY= 18
Step-by-step explanation:
comment if u need explanation :))
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 38 minutes. The owner has randomly selected 27 customers and delivered pizzas to their homes. What hypotheses should the owner test to demonstrate that the pizza delivery will not be successful
Answer:
Read step by step explanation
Step-by-step explanation:
The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude
1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project
2.-As sample size is smaller than 30 the test has to be t-student one tail test to the left
Test hypothesis
Null hypothesis H₀ x = 38
Alternative hypothesis Hₐ x < 38
We should test at a significance level α = 0,05 (α = 5%)
If the result of the test is to accept H₀ delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.
A mechanic charges $45 per hour for labor plus $55 for a computer diagnostic test. The mechanic charges a customer $595 to repair a vehicle. How many hours did the mechanic spend on the repair?
Answer:
The mechanic spent 12 hours on the repair.
Step-by-step explanation:
$595-$55=£540. £540 is the total of the amount the mechanic charges for an hour, MINUS the computer diagnostic testTo find out how many hours the mechanic spent on the repair, we have to do $540 divided by $45, which is 12.The mechanic spent 12 hours on the repair.
Can someone solve this?
Answer:
u=4
v=2√3
Step-by-step explanation:
The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, u, is 4.
The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, v, is 2√3.
write the equation 0.3x^2+5x-7=0 in standard form and then choose the value of “b”
70
50
5
Answer:
b = 5
Step-by-step explanation:
The given equation is :
[tex]0.3x^2+5x-7=0[/tex] .......(1)
It is in the form of quadratic equation. The general form of a quadratic equation is as follows :
[tex]ax^2+bx+c=0[/tex] .....(2)
Comparing equations (1) and (2), we get :
a = 0.3, b = 5 and c = -7
Hence, the value of b is equal to 5.
he average movie admission price for a recent year was $7.18. The population variance was 3.81. A random sample of 15 theater admission prices had a mean of $8.02 with a standard deviation of $2.08. At α = 0.05, is there sufficient evidence to conclude a difference from the population variance? Assume the variable is normally distributed.
Answer:
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
Step-by-step explanation:
The data given is
Population mean μ= $ 7.18
Population variance= σ²= 3.81
Population Standard Deviation = √σ²= √3.81= 1.952
Sample Mean= x`= $ 8.02
Sample Standard Deviation =s = $ 2.08
Sample Size = 15
Significance Level = ∝= 0.05
The null and alternate hypotheses are
H0: σ1=σ2 against the claim that Ha: σ1≠ σ2
where σ1 is the population variance and
σ2 is the sample variance
The rejection region is Z ≥ ±1.96 for two tailed test at ∝= 0.05
The test statistic z is used
z= x`- μ/ σ/√n
Putting the values
Z= 8.02-7.18/1.952/√15
z= 0.84/0.51599
z= 1.6279
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
the ratio of the number of goat to the number of sheep is 3:1. The sheep are 10 in numbers. how many goats are in the gardens and many animals are there?
Answer:
30 goats, and 40 animals
Step-by-step explanation:
so since the problem says 10 goats are in the garden, and the ratio of sheep to goats is 3:1 you do 3*10. it's basically saying for every 1 goat you have 3 sheep. so if you take away the 0 from 30 and 10 you get 3:1. : )
Which rectangle has side lengths of 7 units and 8 units?
The rectangle that has side lengths of 7 units and 8 units is (a) a rectangle that has an area of 56 square units
How to determine the rectangleFrom the question, we have the following parameters that can be used in our computation:
Side lengths of 7 units and 8 units
These parameters can be represented as
Length = 7 units
Width = 8 units
Using the options in the question as a guide, we have the following computations
We start by calculating the area of the rectangle
The area of the rectangle can be calculated using the following area formula
Area = length * width
Substitute the known values in the above equation, so, we have the following representation
Area = 7 * 8
Evaluate
Area = 56
Hence, the rectangle is (a)
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Complete question
Which rectangle has side lengths of 7 units and 8 units?
(a) a rectangle that has an area of 56 square units
(b) a rectangle that has a perimeter of 56 square units
(c) a rectangle that has an area of 65 square units
(b) a rectangle that has a perimeter of 6 units
x^2+8x+4=0 using quadratic formula
Answer:
-4±2√3
Step-by-step explanation:
quadratic formula: (-b±√(b²-4ac))/(2a)
a = 1
b = 8
c = 4
(-8±√(8²-4*1*4))/(2*1)
(-8±√(64-16))/(2)
(-8±√48)/(2)
(-8±4√3)/(2)
-4±2√3
Only answer if you’re sure :) thank yew
Convert the polar representation of this complex number into its rectangular form: z=4(cos120 + isin 120)
Please help!!! I will mark brainliest!!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
took the test
The polar expression of a complex number in its rectangular form 4(cos120° + i sin120°) = -2 + 2√3 i.
What is the polar form of a complex number?Let Z = a + ib be a complex number in the cartesian form represented by point P(a, b) in the complex plane then Z = r cos∅ + i r sin∅ =r is called the polar form of a complex number.
We have.
z = 4(cos120° + i sin120°)
z = 4(cos(90 + 30)° + i sin(90 + 30)°)
Using trigonometry
cos (90 + ∅) = -sin ∅ and sin (90 + ∅) = -cos ∅
So, 4( -sin (30)° + i cos (30)°)
= 4 ( -1/2 + i √3/2)
= -4(-1/2) + i 4(√3/2)
= -2 + 2√3 i
Thus, the rectangular form is 4(cos120° + i sin120°) = -2 + 2√3 i.
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i will give Brainiest if you are right
Answer:
F. 4 ÷ 5
Step-by-step explanation:
solve y=(1/2)x exponential graph
The value of the exponential graph y = ( 1/2 )ˣ is graphed
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
y = ( 1/2 )ˣ be equation (1)
On simplifying the equation , we get
y = 1 / (2ˣ)
Now , the graph of the function y = ( 1/2 )ˣ will be a slanting line which will not touch the x axis and passes through the point y = 1
The graph of the function y = ( 1/2 )ˣ is given below
Hence , the function is solved and the graph is plotted
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Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.90
Step-by-step explanation:
[tex]\frac{4}{10}=0.4[/tex]
3 dozen = 36
[tex]\frac{36}{0.4} =\frac{y}{0.1}[/tex]
0.4 × y = 36 × 0.1
0.4y = 3.6
0.4y ÷ 0.4 = 3.6 ÷ 0.4
y = 9
a rectangular table is 5 1/4 feet by 3 3/4feet. what is the area of the table?
Answer:Area = Length times Width
5 1/4 times 3 3/4
5 x 4 + 1 = 21
21/4
3 x 4 +3 = 15
15/4
21/4 x 15/4 = 315 / 16 or 19 11/16 ft^2
Step-by-step explanation:
What is the value of x? Show your work in arriving at your answer.
The value of x is 18.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
First, both angles shown are equal to each other.
5x + 5 = 95
Next, the opposite side of the equation to isolate x value (5x).
5x + 5 (-5) = 95 (-5)
5x = 90
Finally, we need to divide both sides of the equation by 5.
5x / 5 = 90 / 5
x = 18
The final answer: x = 18
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Choose the exponential function that is true for these points: (0, 1) and (1,
2).
Oy=4"
Oy = 32
Oy = 2
Answer:
If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .
Step-by-step explanation: