Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have different lengths

Answers

Answer 1

Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides,  DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

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Answer 2

Answer:

(D) no, because the hypotenuses must have different lengths

Step-by-step explanation:


Related Questions

To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

Answers

B- because its between 1.3 and 1.7 and also has open circles because it’s less than and not less than or equal to.

Sam pays #512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is #47,645.25k. How much does same paid for his meal

Answers

The amount paid by sam will be 11526.75k for the meal.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

Sam pays 512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is 47,645.25k.

We will form an expression from the data given above in the question.

Amount paid by Sam  = ( r - 512.75 )

Amount paid by rob = r

( r - 512.75 ) + 3r = 47645.25

( r + 3r ) = 47645.25 + 512.75

4r = 48158

r = 12039.5

The amount paid by sam will be calculated as:-

S = r - 512.75

S = 12039.5 - 512.75

S = 11526.75

Therefore the amount paid by sam will be 11526.75k for the meal.

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Which values of a and b make the following equation true?
(5x7y²)(-4x²y5)--20xy
a=11, b = 7
a = 11, b = 10
a=28, b = 7
a=28, b= 10

Answers

Answer:

A. is correct answer

Step-by-step explanation:

full explanation

A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 35% of people are likely to invest in portfolio A, 25% are likely to invest in B, and 40% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.

What is the probability of an investor choosing both stocks AND bonds from portfolio B?

Answers

The probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

A financial planner has three portfolios: A, B, and C.

Each portfolio has stocks and Bond

P(stock) = 0.5

P(bond) = 0.5

Customers are equally likely to choose stocks.

P(stock and bond from B) = P(stock, B) + P(bond, B)

= 0.25×0.5 + 0.25×0.5

= 0.25 or

= 25%

Thus, the probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.

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ab (2a²b² - 4b) = what is the answer

Answers

Well I don’t know what you mean so I’m just gonna simplify it

Image below is simplified answer!

Answer:

2ab(a2b−2)

Step-by-step explanation:

Figure 1 is similar to figure 2. What is TS?
1 unit
4 units
8 units
2 units​

Answers

Answer:

8 units

Step-by-step explanation:

ratios  

(x-3) /( x+1)  = (x-2)/(x+3)     cross multiply

x^2 -x -2 = x^2 - 9

  -x - 2 + 9 = 0

    x = 7          

           so TS = x + 1 = 8 units

I'm kinda lost in this problem. Can you teach me how to solve these ​

Answers

53) Vertical angles are congruent, so [tex]m\angle IDA=121^{\circ}[/tex]

54) [tex]\angle YDA[/tex] and [tex]\angle YDF[/tex] are supplementary, so [tex]m\angle YDA=180^{\circ}-121^{\circ}=59^{\circ}[/tex]

55) Because vertical angles are congruent, [tex]m\angle FDI=59^{\circ}[/tex]. Now, because DR bisects [tex]\angle FDI[/tex], this means [tex]m\angle RDI=\frac{59}{2}=29.5^{\circ}[/tex]

56) This is a geometric sequence where the next term is obtained by multiplying the previous term by -2, so the next two numbers are 16, -32

Find the HCF of
x^4 y^2 and x^3 y^3

Answers

Here's your answer down here↓:

Step-by-step explanation:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

(x^4 - y^4) = (x^2 - y^2)(x^2 + y^2) = (x - y)(x + y)(x^2 + y^2)

Ok. So the factor (x-y) appears once in the top line and once in the second line. So we are going to take it the least amount of times.

So, the factor (x + y) appears in the top line zero times and in the second line one time so we will take it where it appears the least which is zero times so we are still at (x - y)

And it Same goes for the factors of (x^2 + y^2) and (x^2 + xy + y^2)

Find the area of a regular octagon with an apothem of 2 cm.

Answers

The area of a regular octagon with an apothem of 2 cm is 3cm ^2.

The area of a regular octagon with an apothem of 2 cm.

Given the apothem length,

What is the area of the regular polygon?

the area of a regular polygon becomes,

[tex]A=\frac{1}{2}\times P\times A[/tex]

P=  the perimeter of the regular polygon

A is the apothem of the regular polygon

Here, we get

p=2=2cm, a=3cm.

So, plugging in the given values, we get

[tex]A=\frac{1}{2} \times 2cm\times 3cm[/tex]

A=1cm⋅3cm

A=3cm^2

Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.

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There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

Answer:

1/11

Step-by-step explanation:

probability =total number of items ÷ 1

=11÷1

=1/11

how much is 20 Pepsi if one Pepsi is sold at the rate of 20 naira​

Answers

Answer:

Let x= cost of 20 pepsi

so 1 Pepsi = 20 naira

20 = x

x= 20*20

x= 400 naira

Therefore the cost of 20 pepsi is 400 naira

Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

Answers

Answer:

13x = 39

x=3

y=10

find the least nu,ber which is exactly divisible by 12 16 and 24​

Answers

Answer:

The smallest number all three numbers can be divided by is 4.

Step-by-step explanation:

12/4=3

16/4=4

24/4=6

Hope this helps!

If not, I am sorry.

which expression is equivalent to 354x + 332, If x=0?

Answers

Answer:

10x + 332

when, x=0

Step-by-step explanation:

Please give me brainlist.

What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?

Answers

Answer:

0.7855 square feet

Step-by-step explanation:

90/360×3.142×1 squared

=0.7855

is 8.6 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

Yes, 8.6 is a rational number because it can be expressed in the form of p/q

[tex]8.6 = \frac{86}{10} = \frac{43}{5} [/tex]

Are the equations 5x=3-x and 5x=-x+3 equivalent?​

Answers

Answer:

  yes

Step-by-step explanation:

The commutative property of addition applies to let you swap the order of the summands.

__

Here is how the commutative property can be applied.

  5x = 3 -x . . . . . given

  5x = (3) +(-x) . . . . shown as a sum

  5x = (-x) +(3) . . . . order swapped using commutative property of addition

  5x = -x +3 . . . . . . equivalent equation

During its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. To the nearest meter, what is difference in elevation between stefano and the climber?.

Answers

Answer:

20 can be the answer of it

75 POINTS PLEASE RESPOND ASAP
Have you ever been swimming in a pool, and your eyes were red when you get out? This means the chemicals in the pool were not adjusted correctly! More specifically, the measurement of the pool's pH was not quite right.

pH is a measurement of hydronium ions and can be modeled by the function f(x) = −log10x. The variable x represents the amount of hydronium ions, and f(x) gives the pH level.

Different liquids have ideal pH values that are different. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, and a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.

Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
Use your graph to find the ideal pH level if the amount of hydronium ions is raised to 0.50.
The pool company developed new chemicals that transform the pH scale. Using the pH function f(x) = −log10x as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Be sure to label each transformation on the graph.
f(x) + 1
f(x + 1)

Answers

ANSWER :

The pH level of a swimming pool indicates the level of acidity or alkalinity

of the swimming pool.

Correct Responses;

First Part:  Please find attached the required graph of the pH function created with MS Excel.

The pH value is 0 when x = 1

The pH value is 1 when x = 0.1

The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.

Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.

STEPS

Method by which the above responses are obtained

First part

The given pH function is f(x) = -㏒₁₀x

Where;

x = The amount of hydronium ions

A substance with a pH < 7 is acidic

A substance with a pH > 7 is alkaline

A neutral solution has pH = 7

Water is a neutral solution

The graph of the pH function created with MS Excel is attached

The table of values of the graph is as follows;

From the graph, we have;

When the pH value is 0, the hydronium ion concentration is 1

The pH value is 1 when x = 1 × 10⁻¹ = 0.1

The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;

pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996

The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996

Second Part

Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted

From the graph, we have;

The graph of f(x) + 1 = -㏒₁₀x + 1

The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)

At the y-intercept, x = 0, therefore;

f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined

f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0

Therefore;

The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.

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Please i need it for now PLSSSS

Answers

The measure of the other side of a quadrilateral is [tex]3\sqrt{13}[/tex] cm.

In the given quadrilateral one side is unknown we need to find the unknown side.

By dividing the given quadrilateral into a rectangle and a triangle we can find the other side.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, [tex]c^{2}=a^{2}+b^{2}[/tex].

Now, [tex]x^{2} =9^{2}+6^{2}=81+36=17[/tex]

⇒[tex]x=\sqrt{13 \times 9} =3\sqrt{13}[/tex]

Therefore, the measure of the other side of a quadrilateral is [tex]3\sqrt{13}[/tex] cm.

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Work out the angle of elevation from the
rabbit to the top of the tree.
18 m
9√3m
Not drawn accurately

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30° [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Let the angle of elevation be " x "

[tex]\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18} [/tex]

[tex]\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2} [/tex]

[tex]\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg ) [/tex]

[tex]\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

The angle is 60 degree.

Step-by-step explanation:

First of all, we will find the height if the tree by using Pythagorean theorm.

Let, height of tree be x.

18^2=(9(3^1/2))^2+x^2

324=243+x^2

x^2=324-243

x^2=81

x=9

Now, let the angle be y.

tan y= x/base

tan y=9/9×(3^1/2)

tan y=1.73

y=cot 1.73

y= 60

Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?

Answers

Answer:

the first one listed (y = -[tex]2^{x}[/tex] + 4)

Step-by-step explanation:

a 0 at an x-intercept means that when plugging in that number, you get a 0 as a y-value.

So, the easiest method to use is to plug x=2 into each equation listed, because we can see that (2,0) is a point on this graph

if y= -[tex]2^x\\[/tex] + 4

y = -2² + 4

y = -4 + 4

y = 0

This means that this graph has corresponding real zero(s) to the function    y= [tex]-2^x[/tex] + 4

(I chose which graph to test by looking to see which option seemed right)

Determine the measure of angle BFE 1 ) 69 degrees 2 ) 112 degrees 3 ) 11 degrees 4 ) 224 degrees

Answers

Answer:

option 2

Step-by-step explanation:

the chord- chord angle BFE is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ BFE = [tex]\frac{1}{2}[/tex] ( BE + DC) = [tex]\frac{1}{2}[/tex] (72 + 152)° = [tex]\frac{1}{2}[/tex] × 224° = 112°

can someone please help mee

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}[/tex]

[tex]\qquad \tt \rightarrow \:Range :\:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

[tex] \large\textsf{For the given graph : } [/tex]

[tex]\qquad \tt \rightarrow \: domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}[/tex]

[tex]\qquad \tt \rightarrow \: range : \:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

This circle is centered at the origin, and the length of its radius is 8. What is
the equation of the circle?

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x² + y² = 64[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Standard equation of circle is :

[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

[tex] \textsf{h = x - coordinate of centre of circle} [/tex]

[tex] \textsf{k = y - coordinate of centre of circle} [/tex]

[tex] \textsf{r = radius= 8} [/tex]

Since the circle is centered at origin, h = k = 0

[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64 [/tex]

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Kit and Kat are building a kite for the big kite festival. Kit has already
cut his sticks for the diagonals. He wants to position P so that he will
have maximum kite area. He asks Kat for advice. What should Kat
tell him?

Answers

Kat should tell Kim that It's too late to change the area of this kite because the length of the diagonals of a kite determines its area.

How to calculate the area of a kite?

In Mathematics, the area of a kite is equal to one-half the product of the length of its diagonals. Mathematically, the area of a kite can be calculated by using this formula:

A = ½ × d₁ × d₂

Where:

A is the area of a kite.d₁ and d₂ are the length of the diagonals of a kite.

Since Kit has already cut his sticks for the diagonals, Kat should tell him that it's too late to change the area of this kite because the length of the diagonals of a kite determines its area.

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Examine the system of equations.
y=2x-3
y=-3
Which statement about the system of linear equations
is true?
O The lines have different slopes.
O There is no solution to the system.
O The lines have the same slope, but different y-
intercepts.
O The solution is (-3, -9).

Answers

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A.

What is the System of equations?

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

If the two of the given system of equations are plotted on the graph, then it can be observed that the two lines have different slopes. Therefore, the correct option is A.

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√4x-3-1=√x+1
What is the value of x

Answers

The answer would be 5/3

In the diagram below, triangle lmn is congruent to cba. What is the length of segment ln?

Answers

Answer:

this is step by step explenation

see more...

A. The two spinners shown below are being used in a probability experiment.

During each trial of the experiment, the arrows on the spinners are spun once, and the outcome is recorded. For example, an outcome of (2, 1) means that the arrow pointed to 2 on the first spinner and pointed to 1 on the second spinner.

B. What is the theoretical probability that, during each trial of the experiment, the result has at least one 4 on the spinners? Show your work or explain your answer.

Explain why the experimental probability from the results does not agree with the theoretical probability you found in part B.

Answers

The theoretical probability of at least one 4 on the spinners is 0.4375

(a) The number of different outcomes

The sections on the spinners are:

Spinner 1 = 4

Spinner 2 = 4

So, the number of different outcomes is:

Outcomes = 4 * 4

Outcomes = 16

Hence, the number of different outcomes is 16

(b) The theoretical probability of at least one 4 on the spinners

The spin results that have at least one 4 are:

Results = {(4,1), (4,2), (4,3), (4,4), (1,4), (2,4), (3,4)}

The count of these results is 7.

So, the theoretical probability of at least one 4 on the spinners is:

P = 7/16

P = 0.4375

Hence, the theoretical probability of at least one 4 on the spinners is 0.4375

(c) Why the theoretical probability and the experimental probability are different?

The theoretical probability and the experimental probability are different because:

Experimental probabilities are based on the actual experimentTheoretical probabilities are based on the logic

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