Answers
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
Related Questions
Solve and check. All steps must be shown.
5x + 15 = 75 - 25x
Answers
Answer:
X = 3
Step-by-step explanation:
Answer:
= 2
Step-by-step explanation:5x+15=75-25x
We move all terms to the left:
5x+15-(75-25x)=0
We add all the numbers together, and all the variables
5x-(-25x+75)+15=0
We get rid of parentheses
5x+25x-75+15=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2
1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=
Answers
Answer:
A=3
B=-9
C=4
Hope this helps ^^
Find side length using trig
Answers
Answer:
85
Step-by-step explanation:
A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?
Answers
Answer:
128
Step-by-step explanation:
Solve the equation below. Pls include work
28.10 = 15.5 + 5x
Answers
Answer:
2.52
Step-by-step explanation:
5x + 15.5 = 28.1
subtract 15.5 from both sides
5x = 12.6
divide both sides by 5
x = 2.52
Answer:
x=2.52
Step-by-step explanation:
28.1 = 15.5 + 5x
(take 15.5 from both sides)
28.1-15.5=15.5-15.5+5x
12.6=5x
(Divide both sides by 5)
12.6/5=5x/5
2.52=x
someone help me answer this
Answers
Answer:
c = 53 yd is the answer.
Step-by-step explanation:
a = 45 yd
b = 28 yd
c = ?
According to the Pythagorean Theorem,
a² + b² = c²
45² + 28² = c²
2025 + 784 = c²
c² = 2809
c = 53 yd
∴ The dog runs 53 yd
A map of the world has an area of 40 square feet its perimeter is 26 feet. What are the dimensions of the map?
Answers
Answer: 80 + 2L*L = 26*L
Step-by-step explanation:
12 1/3 +6 2/5 reduce these into lowest terms
Answers
Answer:
18 11/15
Step-by-step explanation:
This is the answer because:
1) First, find the common denominator: 12 1/3 = 12 5/15 and 6 2/5 = 6 6/15
2) Then add the fractions: 12 5/15 + 6 6/15 = 18 11/15
3) 18 11/15 is reduced to the lowest terms because 11 is a prime number.
Therefore, 18 11/15 is the answer.
Hope this helps! :)
Answer:
52.7
Step-by-step explanation:
121/3= 40.33
62/5= 12.4
40.3+12.4=52.7
plz mark me as brainliest.
The Martinez Company has just completed a physical inventory count at year end, December 31, 2022. Only the items on the shelves, in storage, and in the receiving area were counted and costed on the FIFO basis. The inventory amounted to $81,600. During the audit, the independent CPA discovered the following additional information:
(a) There were goods in transit on December 31, 2022, from a supplier with terms FOB destination, costing $9,800. Because the goods had not arrived, they were excluded from the physical inventory count.
(b) On December 27, 2022, a regular customer purchased goods for cash amounting to $1,150 and had them shipped to a bonded warehouse for temporary storage on December 28, 2022. The goods were shipped via common carrier with terms FOB shipping point. The customer picked the goods up from the warehouse on January 4, 2023. Martinez Company had paid $575 for the goods and, because they were in storage, Martinez included them in the physical inventory count.
(c) Martinez Company, on the date of the inventory, received notice from a supplier that goods ordered earlier, at a cost of $3,500, had been delivered to the transportation company on December 28, 2022; the terms were FOB shipping point. Because the shipment had not arrived on December 31, 2022, it was excluded from the physical inventory.
(d) On December 31, 2022, there were goods in transit to customers, with terms FOB shipping point, amounting to $760 (expected delivery on January 8, 2023). Because the goods had been shipped, they were excluded from the physical inventory count.
(e) On December 31, 2022, Martinez Company shipped $2,400 worth of goods to a customer, FOB destination. The goods arrived on January 5, 2023. Because the goods were not on hand, they were not included in the physical inventory count.
(f) Martinez Company, as the consignee, had goods on consignment that cost $2,700. Because these goods were on hand as of December 31, 2022, they were included in the physical inventory count.
Analyze the above information and calculate a corrected amount for the ending inventory.
Answers
Hope it helps
Jackson invested $81,000 in an account paying an interest rate of 6\tfrac{1}{2}6
2
1
% compounded monthly. Angel invested $81,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. After 16 years, how much more money would Angel have in his account than Jackson, to the nearest dollar?
Answers
Answer:22215
Step-by-step explanation: got it from delta math
After 16 years Angel would have amount $22942 more money in his account than Jackson.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
Investment of Jackson, p = $81000
Rate of interest, r = 6 1/2%
⇒ [tex]6.5\% = 0.065[/tex]
Interest is compounded monthly, so n = 12
Number of years, T = 16
Investment of Angel, p = $81000
Rate of interest, r = 7 1/8%
⇒ [tex]7.125\% = 0.07125[/tex]
Interest is compounded quarterly, so n = 4
Number of years, T = 16
The formula of amount in compound interest is
[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]
Jackson's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]
⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]
⇒ [tex]A=81000(1.0054)^{192}[/tex]
⇒ [tex]A=81000(2.8123)[/tex]
⇒ [tex]A=227798.13[/tex]
Angel's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]
⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]
⇒ [tex]A=81000(1.0178)^{64}[/tex]
⇒ [tex]A=81000(3.0955)[/tex]
⇒ [tex]A=250739.62[/tex]
After 16 years, how much more money would Angel have in his account than Jackson is
⇒ [tex]250739.62-227798.13[/tex]
⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]
Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.
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Which of these are statistical questions? Select all that apply.
A. Do you walk or get a ride to school?
B. How many text messages do you send during one week
C. How many months away is your birthday
D. Do you live within three blocks of the school?
E. Do you like sports?
Answers
Answer:
Step-by-step explanation:
help math see image for question
Answers
Answer:
AAAAAAA!!!!!
Step-by-step explanation:
4. A system of equations is shown below.
5x + 2y = - 15
2x-2y= -6
What is the solution to the system of equations?
Answers
Answer:
first one is x=-15-2y/5
second one x=y-3
Step-by-step explanation:
PLEASE HELP ITS DUE TODAY FOR A GRADE!!!!
Answers
Answer:
11
Step-by-step explanation:
Find the length of the hypotenuse of the right triangle with sides 9 and 6
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]
Use c and the height 2 to find the hypotenuse of the triangle with the dotted line
[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]
the dotted line is 11
Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m
B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.
Answers
Answer:
D) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:
The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.
Answer:
OD) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:I took the test
If AJKL ~ AMKN, find the value of x.
Answers
Answer:
14
Step-by-step explanation:
The two triangles are similar
KN/KL = MN/JL
12/32 = (x+1)/(3x-2) multiply the fractions
36x-24 = 32x+32 export like terms to the same side
36x-32 = 32 + 24
4x = 56 divide both sides by 4
x = 14
How many possible passwords can be made for a website that requires passwords to consist of 3 digits followed by 2 letters? (Note that each digit or letter is allowed to be repeated.)
Answers
xxx##
There are 10 possibilities for each digit placed and 26 possibilities for each letter placed.
10x10x10x26x26 = 676,000
Answer:
67,600
Step-by-step explanation:
Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.85.
Required:
a. Construct a 95% confidence interval estimate of μ, the population mean procrastination scale for second-year students at this college.
b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?
Answers
Answer:
a) The 95% confidence interval estimate of μ is (39.35, 42.5).
b) Second-year students tend to procrastinate more than first-year students
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 69 - 1 = 68
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35
The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65
The 95% confidence interval estimate of μ is (39.35, 42.5).
b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?
The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students
Find the domain of the function in interval notation: f(x) =1/ x + 22
Answers
That's the answer
x = - 1/22
What is the measure of the missing angle
Answers
Answer:
c. 42°
Step-by-step explanation:
two interior angles= one exterior angle
let x be the other interior angle
90° + x=132°
x=132-90
x=42°
I need help plsssssssss
Answers
hi!
which equation is graphed here?
Answers
Answer:
The equation would be y = -3/2x - 1
Step-by-step explanation:
The slope is -3/2 and the y-intercept is -1.
The General Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 2.98 with a standard deviation of 2.66. Assume that in a sample of 40 teenagers, the sample standard deviation of daily TV time is 1.9 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answers
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
(20 points) How many, and what type of solutions do the follow
quadratic equations have?
4x2 - x +4= 0
Answers
Answer:
2 , Real
Step-by-step explanation:
The quadratic equation is ,
⇒ 4x² - x - 4 = 0 .
Since it is a quadratic equation and has the highest degree of variable as 2 therefore it will have two solutions . For determining the nature of roots we will find the discriminant . The Discriminant of a quadratic equation in standard form of ax² + bx + c = 0 , is ,
⇒ D = b² - 4ac
⇒ D = (-1)² - 4 × 4 × (-4)
⇒ D = 1 + 64
⇒ D = 65 .
Since Discriminant is Greater than 0 , therefore the roots will be real .
2d+7/6-d-5/3=0 Tell me the answer
Answers
Answer:
D=1/2
Step-by-step explanation:
Multiply the numbers
Subtract the numbers
Combine like terms
put 1/2 to the two parts of the equation
last but not least, simplify
Find the value of x. Round to the
nearest tenth.
26
12
X
X =
Enter
Answers
Answer:
322. So this is correct or wrong
Tan26=x/12
x=tan26*12
What is the difference of
7/8 − 1/3
Answers
Answer:
[tex]13 \div 24[/tex]
13/24
Step-by-step explanation:
[tex]7 \div 8 - 1 \div 3[/tex]
[tex]taking \: the \: lcm \: of \: 8 \: and \: 3[/tex]
[tex]21 - 8 \div 24[/tex]
[tex]13 \div 24[/tex]
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2s+4=5(−4−2s)2, s, plus, 4, equals, 5, left parenthesis, minus, 4, minus, 2, s, right parenthesis
s =s=s, equals
Answers
Maria is ordering comic books online. The equation y=8x + 4 represents the total cost in dollars, y, including shipping, for ordering x number of comic books. If the total cost including shipping is $60, how many comic books is Maria ordering? Use the graph to help you determine the answer.
Answers
Answer:
x will be equal to 7 comic books
The number of books Maria is ordering is 7 books
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of comic books Maria orders be = x
The cost of x books is = y
Now , the equation for the total cost be
y = 8x + 4 be equation (1)
Now , the total cost of all the books be = $ 60
So , substituting the value of y as 60 in equation (1) , we get
60 = 8x + 4
Subtracting 4 on both sides of the equation , we get
8x = 56
Divide by 8 on both sides of the equation , we get
x = 7 books
Therefore , the value of x is 7
Hence , The number of books Maria is ordering is 7 books
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Find the surface area of the cylinder.
Answers
Answer:
[tex]A=227.84\ inch^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 5 inch
Hight, h = 12 m
Radius, r = d/2 = 2.5 m
We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].