Find the value of the variable that results in congruent triangles

Find The Value Of The Variable That Results In Congruent Triangles

Answers

Answer 1

Answer:

  y = 5

Step-by-step explanation:

The triangles will be congruent when corresponding sides are congruent. __

We already have ...

  KL ≅ NP . . . = 15 mm

  JL ≅ MP . . . = 22 mm

So, we need ...

  JK ≅ MN

  4y +12 = 32 . . . . substitute given values

This will be the case when ...

  4y = 20 . . . . . subtract 12

  y = 5 . . . . . . . divide by 4

The value of y that makes the triangles congruent is 5.


Related Questions

Find the area of the regular polygon 10, 4

Answers

With all the given context, I would assume it’s length times width, which would give us an answer of 40 :) hope this helped !

Solve: h9 = 2781


this is a fun fact belh bla

Answers

Answer:

309

Step-by-step explanation:

2781/9

Suppose A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3, what is P(AB)?
A. 0.22
B. 0.11
C. 0.165
D. 0.275

Answers

Answer: C. 0.165

Step-by-step explanation:

The value of P(A∪B) = 0.835

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,

0.55 = P(A∩B) / 0.3

P(A∩B) = 0.165

P(A) = 1-P(B)

P(A) = 1-0.3

P(A) - 0.7

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.3+0.7-0.165

P(A∪B) = 0.835

Hence, the value of P(A∪B) = 0.835

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hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units

Answers

Answer:

24 a.)

Step-by-step explanation:

the base is a triangle

log64​n=−31

step bye step on how to solve this​

Answers

Divide both sides by 1.80618n over 1.80618, = -31 over 1.80618.

You get n= -17.163295

A living room set is discounted 1/3 of the price what percentage is the discount?

Answers

the answer will be 33.33% percent

240inches equals how many feet

Answers

240 inches divided by 12 inches = 20 feet
Since 12 inches = 1 foot

The radius of a circle is 19 meters. What is the circle's circumference?
r=19 m
Use 3.14 for ​.

Answers

Answer:

59.66

Step-by-step explanation:

CORRECT ANSWER ONLY! I'LL GIVE BRAINLIEST!

Which graph represents the function f(x)= sqrt x − 2 - 2?

Answers

Answer:

the third fuction is the represents po

Step-by-step explanation:

and the next slide is the other one

A board is 86 inches long. How long is it in feet and inches?

Answers

Answer:

7 feet and 2 inches

Step-by-step explanation:

12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"

Solve the following equation. 14 = w2

Answers

14=w2
Take 2 divided by 2 and 14 divided by 2
7=w

Find the distance between the two given points:
(-5,-2);(-6, -6)

Answers

answer:
(-1, -4) or 1 to the left and 4 down

explanation:
to find the distance between two points on a coordinate plane, you have to subtract. (x_2 - x_1), (y_2 - y_1). -6 - -5 = -1 and -6 - -2 = -4. the second point is 1 to the left and 4 down from the first.

Which equation can be used to determine the value of x?
(6x + 2) + 40 = 90
(6x +2) + 40 = 180
None of these
(6x + 2) = 40
All of these

Answers

Complementary angles have sum 90°

Hence

6x+2+40=90

Option A

6x+42=1806(x+7)=6(30)x+7=30x=23

Answer:

A)(6x + 2) + 40 = 90

Step-by-step explanation:

(for convenience, I have labelled it with alphabets)

Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means

[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]

Here:

[tex]\angle BFC=(6x+2)^{\circ}[/tex] [tex]\angle CFD=40^{\circ}[/tex]

Hence,

The equation can be used to determine the value of x is

(6x + 2) + 40 = 90

In conclusion

Our answer is A)

pls help
find f(p-5)

Answers

[tex]\text{Given that,}~f(j) = -5j-4\\\\f(p-5) = -5(p-5) -4\\\\~~~~~~~~~~~~=-5p+25-4\\\\~~~~~~~~~~~~=-5p+21[/tex]

What is the probability of a red on this spinner?
Be sure to reduce.
? 1

Answers

Answer:

1/4 is the correct answer

20 points. brianliest if you get it right, and my appreciation

Answers

Answer:

x = 17

Step-by-step explanation:

75° and (4x + 7)° are alternate angles.

75 = 4x +  74x = 68x = 17

Use the graph to complete the table.

Answers

(10, 5)

(12, 7)

(14, 9)

Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher

Answers

The correct option regarding the probability of rolling a number that is at least 10 is given by:

А 10 percent, Lower

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:

pT = 11/20 = 0.55 = 55%.

For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:

pE = 1/10 = 0.1 = 10%.

Which is lower than the theoretical probability, hence option A is correct.

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What is the value of x 2/3x+2=4

Answers

Solving for x in Algebraic Equations

To solve for x, we can perform inverse operations to cancel values out.

For addition, we can do subtraction.For multiplication, we can do division.And vise versa.

Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.

Solving the Question

[tex]\dfrac{2}{3}x+2=4[/tex]

⇒ First, isolate the x term by subtracting 2 from both sides:

[tex]\dfrac{2}{3}x=2[/tex]

⇒ Now, multiply both sides by 3 to get rid of the fraction:

[tex]2x=6[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]x=3[/tex]

Answer

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

[tex]\sf \dfrac{2}{3}x+2=4[/tex]

Subtract 2 from both sides.

[tex]\sf \dfrac{2}{3}x=4-2\\\\\sf \dfrac{2}{3}x=2[/tex]

Multiply both sides by 3.

[tex]\sf2x=2*3\\2x=6[/tex]

Divide both sides by 2.

[tex]\sf x=\dfrac{6}{2} \\\\\sf x=3[/tex]

Of the 528 clients at Bernie's salon, 122 of them have black hair. What is the probability that a randomly selected client at Bernie's salon has black hair? Write your answer as a fraction or whole number.

Answers

The probability that a randomly selected client at Bernie's salon has black hair is 61 / 264.

What is the probability?

Probability measures the odds that a stated event would occur. The odds the event happens lies between 0 and 1.

The probability that a client at Bernie's salon has black hair = number of clients with black hair / total number of clients

122 / 528 = 61 / 264

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If you were to track coffee preferences among your co-workers for the next two weeks, which type of statistical study would you be performing? (statistics)

Answers

Answer:

Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more

Find the perimeter of ABC

Answers

Answer:

36 ft

Step-by-step explanation:

[tex]\triangle ABC\sim\triangle DEF[/tex] (Given)

Perimeters and corresponding sides of similar triangles are in proportion

[tex]\implies\frac{P( \triangle ABC)}{P(\triangle DEF)}=\frac{BC}{EF}[/tex]

[tex]\implies\frac{P( \triangle ABC)}{12}=\frac{15}{5}[/tex]

[tex]\implies\frac{P( \triangle ABC)}{12}=3[/tex]

[tex]\implies P( \triangle ABC) =12(3)[/tex]

[tex]\implies P( \triangle ABC) =36 \: ft[/tex]

Pema is 85 months old and Rinzin is 7⅔ years old. who is older? How do you know?
help me slove this please ​

Answers

Answer:

Rinzin is older

Step-by-step explanation:

The reason is that since you probably already know that there are 12 months in a year it would be 85/12=7.0833 years and 23/12=7.666 so that makes rinzin older

Hope that helps :)

Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Pema is 85 months old and

Rinzin is 7⅔ years old.

We have to check who is older.

We know that 1 year = 12 months

So if 85 months are conveted to years by dividing 85 by 12

Pema, 85/12 years= 7.08 years

Rinzin, 7⅔ years = 7.06 years

We know that 7.08>7.06

Hence, Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.

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19. If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
O 16, -16
O 16, 1/16
O 8,-8
O 8,1/8

Answers

Answer:

16, 1/16

Step-by-step explanation:

[tex](4)^2 =16[/tex]

[tex](4)^{-2} =\frac{1}{16}[/tex]

Hope it helps you in your learning process.

[tex]\large{\textsf{\textbf{Answer\::}}[/tex]

Option B

[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]

If the base is 4 , and the exponent is 2 , then the expression looks as follows :

[tex]\textbf{\textsf{$4^2$}}[/tex]

So we multiply 4 times itself .

The answer is :

[tex]\textsf{\textbf{16}}[/tex]

Detail : 4² is not equal to 4×2 , and here's why .

4² = 4 × 4 = 16

4 × 2 = 8

Now , if the exponent is negative , then we turn the number over as follows :

4⁻² = [tex]\mathsf{\dfrac{1}{16} }[/tex]

So the right option is :

[tex]\bigcirc[/tex] 16 , -16

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16

[tex]\bigcirc[/tex] 8 , -8

[tex]\bigcirc[/tex] 8 , 1/8

(Option B is right)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?

Answers

Answer:

77,000 fish in 10 years

Step-by-step explanation:

calculator

The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Answers

Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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The following table gives data relating the intensity of exercise on a scale of 0-1 and the pulse rate of the person. If the intensity were to increase to 0.90(assuming. the rate stays the same), approximately what would be the associated pulse rate?

SHOW STEPS

Answers

Answer: [tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C.[/tex] [tex]200[/tex]

Step-by-step explanation:

[tex]I ~can ~see ~that ~it ~does~ not ~appear ~to ~be[/tex] [tex]LINEAR[/tex]

[tex]y = 73e^kx[/tex] [tex]< ---~pulse~rate[/tex]

[tex].7[/tex] [tex]when[/tex] [tex]y = 155[/tex] [tex]< ---~sub ~in ~x[/tex]

[tex]155 = 73 e^(.7 * k)[/tex]

[tex]ln ( 155/73) = .7k[/tex]

[tex].75296567 = .7k[/tex]

[tex]k = 1.07567[/tex]

[tex]for[/tex] [tex]x = 0.9 :[/tex] [tex]pulse rate = y = 73 e^(1.07567[/tex] [tex]^. .9) = ~ 192[/tex]

[tex]Therefore~your~answer~is:~C.~200[/tex]

Kathleen says that all quadrilaterals have right angles. Grace says that quadrilaterals do not have to have right angles. Explain who is correct.

Answers

Answer: Grace is correct because a rhombus does not have right angles

Step-by-step explanation:

Grace's assertion is on point. Right angles are not present in all quadrilaterals.

What is quadrilateral?

A quadrilateral in geometry is a four-sided polygon with four edges and four corners.

As per the definition of Quadrilateral and rectangle, the rectangle is the type of quadrilateral that has 4 right angles.

Other varieties of quadrilaterals consist of:

Trapezium: Doesn't must have four right angles, but has one pair of opposite sides that are parallel.

A parallelogram has four right angles, but not necessarily two sets of opposite sides that are parallel.

All four sides of a rhombus are equal in length, although there aren't always four right angles.

Kite: Does not must have four right angles, but two adjacent pairs of sides that are equal in length.

Therefore, Grace's assertion is right.

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Find the horizontal and vertical shift of y=Sqrt x+2-3

Answers

Answer: Left 2, Down 3

Step-by-step explanation:

[tex]y=\sqrt{x+2}-3[/tex]

To find the horizontal shift, set the values under the root equal to 0

x + 2 = 0

x = -2

This means the functions is shifted left 2 units

To find the vertical shift, look at the -3

This means the graph is shifted down 3 units.

Can you guys help me please :(

Answers

Answer:

Step-by-step explanation:

18:

44yd x 27 yd = 1188 yd,

then subtract the two unshaded squares, 2 x (22 x 6) = 264

1188 - 264 = 924[tex]yd^{2}[/tex]

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