how you can use Triangle congruence to solve real-world problems? give 3 examples.

Answers

Answer 1

Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.


Related Questions

Solve the given equation: 10|2x-4|=40
Please answer step by step

Answers

Answer:

step by step you said answer step by step that's your answer

Step-by-step explanation:

step by step you said answer step by step that's your answer

Solve for the value of y.
(4y+7)
(3y+5)

Answers

Answer: The value of y is 24.

Step-by-step explanation:

yea so like anyone know this​

Answers

Answer:

=13p+7

Step-by-step explanation:

Let's simplify step-by-step.

5p+11+8p−4

=5p+11+8p+−4

Combine Like Terms:

=5p+11+8p+−4

=(5p+8p)+(11+−4)

=13p+7

Answer:

D

Step-by-step explanation:

if i am not mistaken you would add the common multiples with each other which would be 5p+8p and 11+(-4) which would equal 13p+7. I'm sorry if I'm incorrect

7 divided by 783 ttsggsgsgsvs

Answers

Answer: 0.008939

If you meant to put the opposite, your answer is 111.8571.

HELLPPPPPUIPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

6

Step-by-step explanation:

6 dont put that down

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum which would minimize the surface area. What is the minimum surface area

Answers

Answer:

[tex]r=1.05\ \text{ft}[/tex]

[tex]h=2.12\ \text{ft}[/tex]

[tex]20.91\ \text{ft}^3[/tex]

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = [tex]7.35\ \text{ft}^3[/tex]

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}[/tex]

Surface area is given by

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}[/tex]

Differentiating with respect to radius we get

[tex]\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}[/tex]

Equating with zero we get

[tex]0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05[/tex]

[tex]\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0[/tex]

So, the value of the function is minimum at [tex]r=1.05[/tex]

[tex]h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12[/tex]

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3[/tex]

The minimum surface area is [tex]20.91\ \text{ft}^3[/tex].

Solve using elimination.
- 9x + 2y = 5
-9x + y = -2

Answers

Answer:

(1 , 7)

Step-by-step explanation:

The answer is

(X,y)=(1,7)

complete each function table. Then state the Domain and range of the function. ​

Answers

Answer:

Last option (c) on the list of answers

Step-by-step explanation:

f(x) = { -10, -9, -2, 3}

Domain = {-3, -2, 5, 10}

Range = {-10, -9, -2, 3}

Identify how many rulers Rome had between A.D.180 and A.D.284.​

Answers

Answer:

29

Step-by-step explanation:

solve the system using the elimination method. write solution as a orders pair.

3x+2y=22

-x+4y=22

please help!!!​

Answers

Answer:

4x-2y=0

Step-by-step explanation:

Ok

so you need to subtract

(3x+2y=22)-(-x+4y=22)

Use distributive property and take away parenthesis

3x+2y=22+x-4y=-22

----------------------------

3x+2y=22

x-4y=-22

------------------------------

4x-2y=0

Brainliest Please

Answer:

( [tex]\frac{22}{7}[/tex] , [tex]\frac{44}{7}[/tex] )

Step-by-step explanation:

3x + 2y = 22 ....... (1)

- x+ 4y = 22 ........ (2)

3 × (2) + (1)

(3x - 3x) + (2y + 12y) = 22 + 66 ( variable "x" is eliminated )

14y = 88

y = [tex]\frac{44}{7}[/tex]

- x + 4( [tex]\frac{44}{7}[/tex] ) = 22

x = [tex]\frac{176}{7}[/tex] - [tex]\frac{154}{7}[/tex] = [tex]\frac{22}{7}[/tex]

( [tex]\frac{22}{7}[/tex] , [tex]\frac{44}{7}[/tex] )

A bean plant grows at a constant rate for a month. After 10 days, the plant is 35 centimeters tall. After 20 days, the plant is 55 centimeters tall. Which equation models the height of the plant, y, after x days?

Answers

Answer: Good afternoon fellow student, to answer your question

y - 35 = 2(x - 10)

Step-by-step explanation:

Let

y----->  the height of the plant

x ----> the number of days

Find the slope

we have the points

(10,35)

The slope is equal to

m= (55-35)/(20-10)

m= 2

Find the equation of the line into point slope form

y- y1 = m(x - x1)

we have

m= 2 and point (10,35)

y - 35 = 2(x - 10)

I’ll give brain plesse helppppp

Answers

Answer:

Step-by-step explanation: First, you isolate x, meaning only x can be on one side. you subtract 3 from both sides, getting x<4- x is less than four.

there are two graphs showing x less than four, but since this is less than and not less than/equal to, your answer is the fourth graph, where the point is open and not closed.

Answer:

Last choice,

open circle on 4 arrow going left.

Step-by-step explanation:

X + 3 < 7

x < 4

Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away initially and save $10 every month. The second option is to put $300 away initially and save $30 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?

Answers

Answer:

After 5 months, both options will have saved 450$

Step-by-step explanation:

The first option can be modeled with the expression

400 + 10x

The second option can be modeled with the expression

300 + 30x

The variable x represents the months so in order to find the month where Tina saves the same amount, we set the expressions equal to each other.

400 + 10x = 300 + 30x

solve for x

20x = 100

x = 5

After 5 months, Tina will save the same amount of money which is

400 + 10*5 = $450

I need a legit answer with just a little explanation please it would mean alot to me

Answers

Answer: C.

Step-by-step explanation: Plug in x in the formula. Solve for each y by plugging in each x in the formula and seeing if it works. This took me like 3 min to solve

Suppose you have 9 tubes of paint. How many distinct color groupings can you make with your paint?

Answers

9514 1404 393

Answer:

  511

Step-by-step explanation:

Each tube can be included in the mix, or not. There are 2^9 = 512 possible subsets of a set of 9 objects, including the complete set and the empty set. The empty set will not make a color, so there are ...

  2^9 - 1 = 511 distinct color groupings that can be made

__

The assumption in the above answer is that no tube color can be made by any combination of other tube colors.* We also assume that the choice of tubes is what makes a "color grouping", and that the colors within that grouping made by using different ratios of paint quantities are not counted separately.

Examine the graph.


Select each interval where the graph is decreasing.

a.−4b. 3c.2d.−1

Answers

C:2 because that is the point where it decreases

Using a calculator, find the decimal equivalent for the fraction 416888.

Answers

Answer:

0.46846846846

Step-by-step explanation:

if fraction was 416/888 thats the answer....

The research question is: Do the data provide evidence that the treatments affect the mean LDL level in this population

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

Which of the following give a decimal answer whose non-zero digits repeat infinitely many times ? Select all that apply .


1. 12/8
2. 3/7
3. 7/9
4. 3/2
5.3/11

Answers

i think
7/9
5.3/11

because 7 divided by 9 is .77777 forever and 5.3 divided by 11 is .481818181 forever,

PLEASE HELP!! 50 points MATH

Answers

Answer:

1) No

2) yes

3) no

Step-by-step explanation:

1)

[tex] \sqrt{5} [/tex]

It cannot be simplified

2)

[tex] \sqrt[3]{8} [/tex]

[tex] \sqrt[3]{(2) {}^{3} } [/tex]

[tex]2[/tex]

It can be simplified

3)

[tex] \sqrt{3} + 5[/tex]

It cannot be simplified

4 of 5
A student performed the following construction for the angle bisector of ZDAE. is the student's construction correct?
Yes. The student's construction is correct because circle A and circle D are the same size.
O No. The student's construction is not correct because circle D and circle E are not the same size.
Yes. The student's construction is correct because EH = DH
O No. The student's construction is not correct because AHDH.

Answers

The correct option is b). No. The student's construction is not correct because circle D and circle E are not the same size.

What is meant by angle bisector?

An angle bisector is a ray, segment, or line which divides a provided angle into two equal-sized angles. The term bisector or bisection refers to the process of dividing something into two equal parts.

In geometry, the angle bisector is the ray, line, or segment that divides a provided angle into two equal parts. An angle bisector, for example, will divide a 60-degree angle into two 30-degree angles. In other words, it separates an angle into two congruent smaller angles.

Now, as per the given question;

If line AH is the angle bisector of angle DAE, circle D as well as circle E should be the same size to ensure triangle ΔHDA ≅ Δ HEA, from which ∠ DAH= ∠EAH is deduced. Angle bisector properties

Thus, the student's construction again for angle bisector of DAE is incorrect because circle D or even circle E aren't the same size.

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Rohan and Sara have equal amounts invested in their respective portfolios. Both have invested in a popular international company. Their investments are listed in the table. Recent data shows a decrease in the international company’s share price. Which statement about this scenario is correct?

Rohan’s Investments company stocks, bonds, mutual funds, domestic stocks, and international stocks
Sara’s Investments international stocks
A.
Rohan’s portfolio will be affected the most because he has too many assets in his portfolio.
B.
Neither portfolio will be significantly affected because both have a good mix of assets.
C.
Sara’s portfolio will be affected more because it’s limited to international stocks.
D.
Both portfolios will be equally affected because both have an equal number of international stocks.

Answers

Answer:

C

Step-by-step explanation:

Sara only has international stocks in her portfolio

The correct statement about the scenario is; Sara’s portfolio will be affected more because it’s limited to international stocks.

How to Interpret Investment Schemes?

We are told that;

Amount invested by Rohan and Sara are equal amounts.

They both have now invested in an international company that is popular. Also, recent data shows a decrease in the share price of the international company.

From their respective investments in the data table given as seen online, we can say that the correct statement is Option C.

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Two machines just completed projects at the same time. Machine A complete a project every 1.25 minutes. Machine B completes a project every 4.5 minutes. How long will it be until both machines complete a project at the same time again?

Answers

Answer:

5.75

Step-by-step explanation:

1.25 +4.5 =5.75(the time =the addition of the both times)

What is the INPUT when the OUTPUT is 12?

Answers

Answer:

I think the answer is 4

The basketball team took 20 free throws in the game and made 65% of them how many free throws did they make?

Answers

Answer:

its 13

Step-by-step explanation:

if the probability that it will rain tomorrow is 1/6 what is the probability that it will not rain tomorrow

Answers

Answer:

.4

Step-by-step explanation: Subtract 0.6 from 1.

1-0.6=0.4

There is a 0.4 chance that it will not rain tomorrow.

Step-by-step explanation: Im sorry if this isn't right

Explain how the vertical line test was robes that a relation is not a function.

Answers

The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function. The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value. Cutting or Hitting the Graph at Exactly One Point

If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function. Here are some examples of relations that are NOT functions because they fail the vertical line test.

The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?

Answers

Answer:

250

Step-by-step explanation:

14 x 4 = 56

56 divided by 2 = 28

7000 divided by 28 = 250

If f is the function defined by f(x) = 3x^5 - 5x^4, what are all the x coordinates of points of inflection for the graph of f?

a. -1
b. 0
c. 1
d. 0 and 1
e. -1, 0, and 1

Answers

Answer:

D: 0 and 1

Step-by-step explanation:

Function is defined by;

f(x) = 3x^(5) - 5x⁴

Now, an inflection point will be a point on the graph where the inflection or concavity changes.

Thus, let's find the derivatives until we get there;

f'(x) = 15x⁴ - 20x³

f''(x) = 60x³ - 60x²

So factorizing gives;

f''(x) = 60x²(x - 1)

At f''(x) = 0, we have; x = 0 or x = 1

Thus, the x coordinates of points of inflection are 0 & 1

Drag all of the steps necessary into the box to find the product of 2 . 7 × 6 . 4 using partial products.

Answers

The product of the numbers 2.7 x 6.4 using partial products is 17.28

How to calculate the value?

In order to get the product of the values using partial products, we will use the concept of repeated addition as shown:

2.7 x 6.4

For 2.7 = 2.0 + 0.7

6.4 = 6.0 + 0.4

Substituting the sum into the product, we will have:

2.7 x 6.4 = (2.0 + 0.7)  x (6.0 +0.4)

2.7 x 6.4 = 2.0(6.0) + 2(0.4) + 0.7(6) + 0.7(0.4)

2.7 x 6.4 = 12 + 0.8 + 4.2 + 0.28

2.7 x 6.4  = 17.28

Therefore, the value is 17.28.

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