Answer:
they all have a factor of 5
Step-by-step explanation:
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AEC ≅ DEB, given that CA is parallel to DB and E is the midpoint of AD. Submit the entire proof to your instructor.
Given:
CA || DB
E is the midpoint of AD
Prove:
AEC ≅ DEB
A two column proof for ΔAEC ≅ ΔDEB is as shown below.
What are congruent triangles?"Two triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."
What are interior angles?"These angles formed on the inside of two straight lines when crossed by a transversal."
What is midpoint?"It is point which divides a line segment into two equal parts."
What is AAS postulate of triangle congruence?"AAS (Angle Angle Side) theorem states that in the two triangles, if two angles and one side of a triangle are congruent to two angles and one side of a second triangle, then the two triangles are congruent."
For given question,
Given that CA is parallel to DB and E is the midpoint of AD.
CA is parallel to DB
CB is transversal.
∠ACB and ∠CBD are alternate interior angles.
We know that when a transversal intersects a parallel line then alternate interior angles formed are congruent.
So, ∠ACB ≅ ∠CBD ................(i)
Similarly for CA || DB and AD is transversal.
∠CAD ≅ ∠ADB ..................(ii)
Also, E is the midpoint of AD.
By definition of midpoint,
⇒ AE = ED ..................(iii)
From (i), (ii) and (iii),
By AAS postulate of triangle congruence,
ΔAEC ≅ ΔDEB
Therefore, a two column proof for ΔAEC ≅ ΔDEB is as shown below.
Learn more about AAS postulate of triangle congruence here:
https://brainly.com/question/1593616
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Write the equation of a line that passes through the point (-5,-4) and has a slope of 1/5
Typically, linear equations are written in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line crosses the y-axis)To find the equation of a line given a point and the slope:
Plug the slope into y=mx+b as mPlug the point into y=mx+b as (x,y)Solve for bPlug b back into y=mx+b along with mSolving the Question
We're given:
[tex]m=\dfrac{1}{5}[/tex]Passes through (-5,-4)[tex]y=mx+b[/tex]
⇒ Plug in the slope, [tex]\dfrac{1}{5}[/tex]:
[tex]y=\dfrac{1}{5}x+b[/tex]
⇒ Plug in the point (-5,-4) and solve for b:
[tex]-4=\dfrac{1}{5}(-5)+b\\\\-4=-1+b\\\\b=-3[/tex]
⇒ Therefore, the y-intercept of the line is -3. Plug this back into our original equation as b:
[tex]y=\dfrac{1}{5}x-3[/tex]
Answer[tex]y=\dfrac{1}{5}x-3[/tex]
PLEASE HELP PLEASE PLEASE HELP
Answer:
D. is correct.
Look at 2 × [tex]\frac{1}{3}[/tex] as 2 × 1 for now.[tex]2 * 1 = 2[/tex]
Multiply 4 by 1(third)[tex]4 * 1=4[/tex]
Now, add.[tex]4 + 2 = 6[/tex]
________________________________________________________
The product of answer choice D.(6) is not equal to the product of [tex]\frac{2}{3}[/tex] × 4, because [tex]\frac{2}{3}[/tex] × 4 is actually [tex]2\frac{2}{3}[/tex]
________________________________________________________
What have we learned?We learned how to find whole numbers through an expression with fractions.
Questions related to the topic? Ask me in the comments box.
The probability that a meal at a restaurant is overcooked is 10%. Estimate the probability that exactly 1 of the next 2 meals is overcooked.
Answer:
The probability that exactly 1 of the next 2 meals is overcooked = 3.34%
Step-by-step explanation:
The probability that a meal at a restaurant is overcooked is 10%
The probability that exactly 1 of the next 2 meals is overcooked = out of 3 meals 1 meal is overcooked of 10%
= 1 × 3 × 10%
= 10 × 3 %
= 3.34 %
Answer: 18.1%
Step-by-step explanation:
[tex]P($ overcooked $)=1 / 10$ \\$P($ exactly one overcooked of next two)\\\begin{$aligned}&\Rightarrow O N+N O \quad\left[\begin{array}{l}O \rightarrow \text { Overcooked } \\N \rightarrow \text { Not Overcooked}\end{array}\right. \\&\Rightarrow P(O) \cdot P(N)+P(N) P(O)\end{aligned}$$[/tex]
[tex]$$P(N)=1 - 1/10 = 9 / 10$$$P(exactly 1 overcooked)$$\begin{aligned}&=\frac{1}{10} \cdot \frac{9}{10}+\frac{1}{10} \cdot \frac{9}{10} \\&=\frac{18}{100} \\ &=\frac{9}{50} \text { }\text { or } 18.1\%\end{aligned}$$[/tex]
PLEASE HELP
18c) Find the Area of the Shaded Polygons
Answer:
Area of the shaded polygon= 372
Solve the following "marginal-revenue function" problem below
Answer:
$65,139,000
Step-by-step explanation:
Integration of the given function involves straightforward application of the power rule. It can also be done easily by a modern calculator.
[tex]\displaystyle \int_{1000}^{1300}{(190x-1370)}\,dx=95(1300^2-1000^2)-1370(1300-1000)\\\\=95(300)(2300)-1370(300)=300(95\cdot2300-1370)\\\\=65\,139\,000[/tex]
Revenue from the sale of those 300 tickets will be $65,139,000.
I need help witha math problem.
PLEASE HELP, I missed a bunch of school and I dont know how to do this.
Answer:
(2, -4)
Step-by-step explanation:
Answer:
(2, -4)
Step-by-step explanation:
The solution to a system of equations is always going to be the point(s) where they intersect. To solve, use substitution and find each variable, x and y. Our final answer will be a set of coordinates (x, y). To plot this system, see the help image attached.
y = -x - 2
2x - y = 8
Substitute y to find x
2x - (-x - 2) = 8
2x + x + 2 = 8
3x = 6
x = 2
Substitute x to find y
y = -(2) - 2
y = -2 - 2
y = -4
Solution: (2, -4)
I hope this helps and God bless!
You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your van How many different groups of 6 children can you drive?
However if you are asking how many different combinations, there can be 5005 different combinations.
Answer:
2 different groups of 6 children.
Step-by-step explanation:
There are 15 children you need to bring. You can fit 6 children in each van.
One van : 6 children
Two vans : 12 children
Three vans : 18 children
If you take two vans, that will take 12 children. But you need to fit 15.
If you take three vans, that will take 18 children. This is more than enough.
15 children - 6 = 9 children
Thats one group with 9 children left to take
9 children - 6 = 3 children
Thats two groups with 3 children left to take
3 children - 6 = -3.
This doesn't work. In this case, there will be 3 more empty seats in the last group.
Since the question asks how many groups of 6 children you can drive. It would be two. Becuase there are 2 groups of 6 and one of 3.
Which of the following solutions are represented correctly on their number line? Select all that apply. A. Katie's dog weighs more than 9 pounds. The number line that represents this amount is: B. Owen's suitcase weighs less than 10 kilograms. The number line that represents this amount is: C. The bag of cotton weighs less than 75 grams. The number line that represents this amount is: D. Riley's tennis racket weighs less than 16 ounces. The number line that represents this amount is
Giving brainliest, thanks, rating answer, and friending on Brianly profile immediately!
Just solve this equation. I already plugged in what I needed.
V=4/3 π9³
Answer:
The answer is 3054.8
Step-by-step explanation:
V = 4/3 × 22/7 × 9 × 9 × 9
V = 4 × 22/7 × 3 × 81
V = 4 × 22 × 243/7
V = 21384/7
V = 3054.8
Thus, The answer is 3054.8
Answer:
3054
Step-by-step explanation:
V=4/3 π9³ = 3054
hope it helps
As a result of inflation, the purchasing power of a fixed quantity of money decreases by 5% every year. If a certain quantity of money can buy 940 frozen dinners this year, how many frozen dinners can it buy in 16 years?
There would be 413 frozen dinners in the next 16 years.
How to solve an exponential function?Let y represent the amount of frozen dinners after x years.
If a certain quantity of money can buy 940 frozen dinners this year, and it decreases by 5% every year, hence:
y = 940(0.95)ˣ
In 16 years:
y = 940(0.95)¹⁶
y = 413.71
There would be 413 frozen dinners in the next 16 years.
Find out more on exponential function at: https://brainly.com/question/12940982
The angle between 0° and 360° and is coterminal with a standard position angle measuring 1186° angle is
Answer:
106
Step-by-step explanation:
Factor -2x^3 + 57x^2 - 196x
Answer: -x(x-4)(2x-49)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Answer:
-x (x-4) (2x-49)
Step-by-step explanation:
take out -x
you then have
2x^2-57x+196
then factor the remaining
multiply number next to x^2 which is a with 196 which is c
(-57 is b)
multiply 2 with 196 which = 392
then find out what 2 factors of 392 add up to -57
they are -8 and -49
2(x-8/2)(x-49/2)=0
2(x-49/2)(x-8/2)=0
(-x)(2x-49)(x-4)=0
if the volume of a cone is 12 what is the volume of a cylinder having the same base and height
Answer:Vol of cylinder is area of base (B) times its height(H); while the volume of a cone is area of base (B') times one-third of its height (H').
Step-by-step explanation:
Annabelle uses models to compare two decimal numbers. She says 0.24 is greater than 0.4 because 24 > 4.
A square partitioned into one hundred equal parts with twenty four parts shaded. To the right is a square partitioned into ten equal parts with four parts shaded.
Which of these explains Annabelle's mistake?
A. Annabelle incorrectly shaded the models. She should shade six more tenths.
B. Annabelle incorrectly counted the number of shaded parts in the models. She should compare 3 shaded parts to 4 shaded parts.
C. Annabelle incorrectly compared hundredths to tenths. She should compare 24 hundredths to 40 hundredths.
D. Annabelle incorrectly compared tenths. She should compare 4 hundredths to 4 hundredths.
Answer:
C
Step-by-step explanation:
0.24 is the same as 24 hundredths.
0.4 is the same as 4 tenths or 40 hundredths.
help i will give thanks to the first to answer
Answer:
i believe it's 48
Step-by-step explanation:
7x^2 - 3x - 6
7(3)^2 - 3(3) - 6
63 - 9 - 6
54 - 6
48
Simplify this expression to
have no negative exponents.
please help me answer this question!!
Answer:
○ [tex]\displaystyle 2\:units[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{24}{6} = \frac{6s^2}{6} \hookrightarrow \sqrt{4} = \sqrt{s^2} \\ \\ 2 = s[/tex]
I am joyous to assist you at any time.
Giving out brainliest!!
Step-by-step explanation:
The centroid O cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.
Therefore: |OB| = 2|OF|
|BF| = |OF| + |OB| = |OF| + 2|OF| = 3|OF|
3x+3=3(2x-8)
3x+3=6x-24
3x=27
x=9
Brian purchased 10 shares of an aggressive growth mutual fund at $90 per share, for a total of $900, 7 years ago. Today he sold all 10 shares for $4,500. What was his average annual compound rate of return on this investment before tax?
Answer:
$514 give or take. I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.
Step-by-step explanation:
Find the equation in slope-intercept form of the line satisfying the conditions. m = 6, passes through (2, -8)
y=6x-20
Solution:First, let's write the equation in point-slope form:y-y1=m(x-x1)y-(-8)=6(x-2)y+8=6(x-2Convert to slope-intercept:y+8=6x-12y=6x-12-8y=6x-20Hope it helps.
Do comment if you have any query.
Answer:
y = m x + b is the standard form for a straight line
you have
y = 6 x + b if m = 6
Now when x = 2, y = -8 this is given
- 8 = 6 * 2 + b substituting given values
b = -8 - 12 = -20
y = 6 x -20 is the equation requested
Check;
-8 = 6 * 2 - 20
12 = 12 so this agrees
At the market, 2.4 pounds of peas cost
$1.68. How much does one pound of
peas cost?
$0.7
Step-by-step explanation:Given sentence:
2.4 pounds of peas cost $1.68.Writing as an equation:
[tex]\implies 2.4 \ \text{pounds} = \$1.68[/tex]
To obtain the cost per pound of peas, divide 2.4 both sides. This will convert the value on the L.H.S to 1 pound. The value obtained on the R.H.S will be the the cost (answer).
[tex]\implies \dfrac{2.4 \ \text{pounds}}{2.4} = \$\dfrac{1.68}{2.4}[/tex]
[tex]\implies 1 \ \text{pounds}}= \$\dfrac{1.68}{2.4}[/tex]
[tex]\implies 1 \ \text{pound} = \$0.7[/tex]
What do you recall about decimals
Answer:
a fraction whos denominator is a power of ten and whose numerator is expressed by figures placed to the right of the decimal point and the decimal point is always suppose to be right in the place where the other number is there suppose to line up hope this helps :)
Step-by-step explanation:
If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the second flip, and another tail on the third flip?
Answer:
75%
Im happy to help you
Answer:
1/8
Step-by-step explanation:
I think so
What would be the slope intercept form for the inequality 3x-2y>5?
Answer:
y<3/2x-5/2
Step-by-step explanation:
You just have to know how to get y on one side and the rest of the problem on the other.
First you would subtract 3x from both sides, which leaves you with -2y>5-3x.
Lastly you would divide both sides by -2.
To get the final answer of y<3/2x-5/2
the axis of symmetry for a parabola with x intercepts (-8,0) & (12,0)
12-(-8)=20
x axis = 20:2 = 10
i need to find the area for this pls help
Answer:
Area = 261
Step-by-step explanation:
(28 x 7) + (10 x 13)/2. Solve 196 + 65 = 261
Does anyone know how to
Solve the system of equations.
−3x+y=2
7x−8y=1
The scatterplot below shows a relationship.
Answer:
Linear with a positive correlation
Step-by-step explanation:
This is because the data is linear and upwards sloping from which we can infer is a positive correlation.