Answers
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
--------------
Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
--------------
So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Related Questions
Please answer answer question
Answers
Answer:
156.6 m²
Step-by-step explanation:
To find the surface area of this pyramid, we need to find the area of the base and the sides.
The base triangle has a length of 9 and a height of 7.8. So:
[tex]\frac{bh}{2} = \frac{9\cdot7.8}{2} = \frac{70.2}{2} = 35.1[/tex]
Now, the length of the sides are 9 and the height is 9. So:
[tex]\frac{9\cdot9}{2} = \frac{81}{2} = 40.5[/tex]
Since there are 3 identical sides:
[tex]40.5\cdot3=121.5[/tex]
Add the values:
[tex]121.5+35.1=156.6[/tex]
Hope this helped!
A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries. Assume the population proportion is 0.31 and a simple random sample of 373 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.33
Answers
Answer:
0.7967
Step-by-step explanation:
We know that population proportion p=0.31.
We have to find P(phat<0.33).
Mean=p=0.31
[tex]Standard deviation=\sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]Standard deviation=\sqrt{\frac{0.31(0.69)}{373} }[/tex]
standard deviation=0.024 (rounded to three decimal places)
[tex]P(phat<0.33)=P(Z<\frac{0.33-0.31}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<\frac{0.02}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<0.83)[/tex]
[tex]P(phat<0.33)=0.5+0.2967[/tex]
[tex]P(phat<0.33)=0.7967[/tex]
Thus, the required probability that sample proportion of households spending more than $125 a week is less than 0.33 is 79.67%
Please answer the question in the image below ASAP
Answers
Answer:
Option A Center: 2,-3 radius =5Step-by-step explanation:
[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]
The above equation is the general standard equation for the circle centered at (h,k) with radius r
Given that the equation of the circle is
[tex](x-2) ^2+(y+3) ^2 =25[/tex]
Comparing this with the general equation we can get the center and the radius as
[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]
We can now see that
h= 2
k= -3 and
r= 5
x-7[tex]\sqrt[2]{x}[/tex] +19
Answers
Answer:
Okay please complete your question:)
Step-by-step explanation:
The math problem is incomplete...
If there is an x find the value of it if not explain what needs to be given
Answers
Answer:
x value is 7
the answer is 7
Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have
Answers
Answer:
48
Step-by-step explanation:
Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48
Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...
Answers
Answer:
pattern A is going by 3
pattern B is going by 12
Step-by-step explanation:
so you basically just have to add 3 for pattern a and add 12 for pattern B for each number
Factor the expression
Thank you so muchh
Answers
Answer:
(x+8)(x-5)
Step-by-step explanation:
x^2 +3x-40
What two numbers multiply to -40 and add to 3
8 * -5 = -40
8+-5 = 3
(x+8)(x-5)
Answer:
(x + 8)(x - 5)
Brainliest, please!
Step-by-step explanation:
(x + )(x - )
Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8
(x + 8)(x -5)
Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.
Help ASAP!
Answers
Answer: 20 times 2 equal 40/ 40 divided by 2 is 20
Step-by-step explanation: Both of them should help you find the answer
In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality.
Answers
Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
[tex]|p-\hat{p}| \leq E[/tex] , where E = margin of error, [tex]\hat{p}[/tex] = sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
The conclusion about p using an absolute value inequality is in the range of 29.8% to 34.2%.
What is absolute value inequality?An expression using absolute functions and inequality signs is known as an absolute value inequality.
We know that the absolute value inequality about p using an absolute value inequality is written as,
[tex]|p-\hat p| \leq E[/tex]
where E is the margin of error and [tex]\hat p[/tex] is the sample proportion.
Now, it is given that the poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76%. Therefore, p can be written as,
[tex]|p-0.72|\leq 0.04\\\\(0.72-0.04)\leq p \leq (0.72+0.04)\\\\0.68 \leq p\leq 0.76[/tex]
Thus, the p is most likely to be between the range of 68% to 76%.
Similarly, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Therefore, p can be written as,
[tex]|p-\hat p|\leq E\\\\|p-0.32|\leq 0.022\\\\(0.32-0.022)\leq p \leq (0.32+0.022)\\\\0.298\leq p\leq 0.342[/tex]
Thus, the p is most likely to be between the range of 29.8% to 34.2%.
Hence, the conclusion about p using an absolute value inequality is in the range of 29.8% to 34.2%.
Learn more about Absolute Value Inequality:
https://brainly.com/question/4688732
Find the probability distribution for the following function: P(x)=x/2+1 for x=4,6, and 8
Answers
Write the equation of the line that passes through the points (3, -7) and (-6, -13)
Answers
Answer:
-18 y + 91 y = 73 y
(3, -7) y (-6, -13)
{-18 y, 91 y}
last one hopefullly hahah
Answers
you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)
the triangles are not similar
Answer:
it's A
They don't give you enough information to determine if they are similar or not
you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse
Answers
Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)
(-3,7), (5,11) what is the slope and can u show me how u got it please
Answers
Answer:
The formula for the slope is:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Assign each given point to a variable:
(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)Substitute in the values into the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]
Therefore, the slope is 1/2.
Answer:
1/2
Step-by-step explanation:
The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{11-7}{5-(-3)}[/tex]
11 - 7 = 4
5-(-3)
5 + 3 = 8
4/8 = 1/2
The slope is 1/2.
Hope this helped.
Which expression is equivalent to 8f+5f?
Answers
The answer is
8f+5f
=13f
Geometry, please answer question ASAP
Answers
Answer:
I'm going to say A and B (I think)
Given: ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition
Answers
Answer:- D
- Supplementary
- BC
- Addition
Step-by-step explanation:
Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.
Answers
Answer:
Step 1 should have a -2 substituted for both values.
For the given figure, justify the statement ∠1 ≅ ∠2
Answers
Answer:
JUSTIFICATION↓
∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)
Step-by-step explanation:
Since ∠1 lies vertically opposite to ∠2 and vice -versa , therefore ∠1 and ∠2 are equal to each other
What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answers
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answers
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
3/4a-1/6=2/3a+1/4? Please i need help!!!!
Answers
Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
Evaluate the expression when a= 5 and x= -2 -a+6x Thankyou ! !
Answers
Answer:
[tex]\boxed{-17}[/tex]
Step-by-step explanation:
Hey there!
If x is -2 and a is 5 then we can plug those in,-a + 6x.
-(5) + 6(-2)
-5 + -12
= -17
Hope this helps :)
What is the radical equivalent for 197^7/8?
Answers
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
If I get 20 pound a day how much do i make in a month
Answers
Answer:
£600
Step-by-step explanation:
1 months= 30 days
here,
money made in 1 day= £20
now,
money made in 30 days= 20×30
= 600
[:• In one month you earn £600]
Answer:560 pounds
Step-by-step explanation:
If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.
So =1 month = 28 days
=1 day = 20 pounds
So= 20 pounds × 28 = 560 pounds
5. Solve the differential equation y" - 5y "+7y'-3y=0.
Answers
The differential equation
y''' - 5y'' + 7y' - 3y = 0
has characteristic equation
r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0
with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is
y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)
What is the equation of a circle centered at (1,-4) and a diameter 18?
Answers
Answer:
(x - 1)² + (y + 4)² = 81
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
(h, k) is the center
2r = d
Step 1: Find r
18 = 2r
r = 9
Step 2: Plug known variables into formula
(x - 1)² + (y + 4)² = 9²
Step 3: Evaluate
(x - 1)² + (y + 4)² = 81
Answer:
(x-1)^2 + (y+4)^2 = 81
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
The center is ( 1,-4)
and the radius is d/2 = 18/2 = 9
(x-1)^2 + (y- -4)^2 = 9^2
(x-1)^2 + (y+4)^2 = 81
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answers
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in
Answers
Answer:
27 inches
Step-by-step explanation:
We can use The Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21.6 ^2 + 16.2^2 = c^2
466.56+262.44 = c^2
729 = c^2
Taking the square root of each side
sqrt(729) = sqrt(c^2)
27 = c