In ΔIJK, ∠K \cong≅∠J, IJ = 9 and JK = 10. Find the length of KI.

In IJK, K \congJ, IJ = 9 And JK = 10. Find The Length Of KI.

Answers

Answer 1

Answer:

KI = 9

Step-by-step explanation:

Given that triangle IJK has two equal base angles, angle J and angle K, this meets the definition of an isosceles triangle.

An isosceles triangle has two equal angles. Therefore, the side lengths opposite each of the equal base angles of ∆IJK would be of equal lengths.

Given that IJ which corresponds to angle K = 9, and JK, which corresponds to the other 3 angle, therefore, the length of KI which corresponds to angle J would be the same length as the length of IJ = 9.

<k is congruent to <J

IJ = 9, therefore, IJ = KI

KI = 9.


Related Questions

Say you take out a loan with a principal of $44,500. The interest rate is 13.11%, compounded monthly. If you make
consistent monthly payments and pay off the loan over the course of six and a half years, how much interest will you
have paid in total? Round dollar amounts to the nearest cent.
a. $21,849.92
b. $3,018.03
C. $20,003.60
d. $24,321.18

Answers

The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.

What is monthly compounding?

Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.

Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.

Thus;

\(Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92\)

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Amadi has jar with one dollar and two dollar coins in it.

There are coins in total.

A jar of one and two dollar coins.

The ratio of one dollar coins to two dollar coins is .

How many coins are two dollar coins

Answers

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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The product of −3 negative 3and a number is greater than 12. A number multiplied by 4 is at most −44.negative 44 A number divided by −9 negative 9is less than 10. The quotient of a number and 5 is at least −8.negative 8 The product of 2 and a number is less than −10

Answers

Answer:

hbgrvfgbhnybrstefv

Step-by-step explanation:

Zoe wrote Three-fifths of her essay in 30 minutes. Assuming she wrote the paper at a constant rate the entire time, which expression can be used to determine the fraction of her essay she wrote each minute? 30 divided by three-fifths 30 times three-fifths Three-fifths divided by 30 Five-thirds divided by 30\

Answers

Answer:

1/50 (i think)

Step-by-step explanation:

Pls help me help me pls guys​

Pls help me help me pls guys

Answers

Answer:

C

Step-by-step explanation:

\(-5x-49\geq 113\)

\(-5x\geq 162\)

\(x\leq -32.4\)

(Multiplying or dividing by a negative flips the sign).

Help with number 5, I’m tryna graduate so if someone could help that would be great

Help with number 5, Im tryna graduate so if someone could help that would be great

Answers

Answer:

56

Step-by-step explanation:

Which of the following equations has 62 as a solution

a) n + 3 = 21

b) m × 3 = 186

c) y + 140 = 201

The value of m in expression m-10 = 450 Corresponds to

a) 45

b) 460

c) 201

In how many parts should a segment of length of 4 meters be divided to obtain segments of length of 80 centimeters

a) 5 parts

b) 4 parts

c) 80 parts​

Answers

Answer:

1. b

2. b

Step-by-step explanation:

Sorry, I'm not so sure for c

Answer:

the correct answer is:-

1) b

2) b

3) c

Step-by-step explanation:

1 ) b

2 ) b

3) c

Which of the following are factor pairs for 54?select all that apply.

Answers

Answer:

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

hope this helped:)

brainliest for the brains........................

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Here, we have,

The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.

Factors of 54: 1,2,3,6,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.

To find the factors of a number, 54, we will use the factorization method.

To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.

54 ÷ 1 = 54

54 ÷ 2 = 27

54 ÷ 3 = 18

54 ÷ 6 = 9

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help me pls i need help asap​

help me pls i need help asap

Answers

Answer:

no babe

Step-by-step explanation:

Pls help
Show ur
Work
And check it

Pls helpShow urWorkAnd check it

Answers

Answer:

26

Step-by-step explanation:

6+b=32

-6 -6

0 26

just subtract 6 from 32

What combination of transformations is shown below?

What combination of transformations is shown below?

Answers

Answer:

Rotated then translated

Step-by-step explanation:

solve for x! please help giving BRAINLIEST.

solve for x! please help giving BRAINLIEST.

Answers

Answer:

its 45

Step-by-step explanation:

What property is illustrated in the following equation?

(2 · 3) + (2 · 9) = ? (3 + 9)
Associative Property of Multiplication
Commutative Property of Addition
Distributive Property
Identity Property of Addition
Urgent!!!

Answers

Answer:

Associative Property of Multiplication

Step-by-step explanation:

NEED ANSWERS ASAP



you have a recipe that indicated to use 7 parts of sugar for every 4 parts of milk. You use 28 cups of sugar. How many milk do you need?

Answers

Answer: 16

Step-by-step explanation:

I need one more brainliest for next rank I’d appreciate it

Answer:

16 cups milk is the answer

Use the substitution u = 9x2 + 8 to find the following indefinite integral Check your answer by differentiation '18x sin (9x2 + 8) 18x sin (9x2 + 8) dx=

Answers

The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

Explain about the indefinite integral?A function that accepts the antiderivative of that other function is said to take an endless integral. Visually, it is shown as an integral indicator, a function, and finally a dx. It is simpler to represent taking the antiderivative using the indefinite integral.

The given integral is;

y = ∫18x sin (9x² + 8) dx

Put u = 9x² + 8

Then, on differentiation

18x dx = du

substitute the values:

y = ∫ sin (u) du.

y = -cos u

Put u = 9x² + 8

y = -cos (9x² + 8) + c

c is the constant of integration.

Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

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what is 3/5 as a percent

Answers

Answer:60%

Step-by-step explanation:

3 divided by 5 ten times by 100 and you get 60%

The Martin family and the Kelly family each used their sprinklers last summer. The water output rate for the Martin family's sprinkler was 30L per hour. The water output rate for the Kelly family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 60 hours resulting in a total water output of 1925L. How long was each sprinkler used?​

Answers

Answer:

The Martins used their sprinkler for 35 hours, while the Kellys used their sprinkler for 25 hours.

Step-by-step explanation:

As the Martins and the Kellys used their sprinklers for 60 hours combined last summer, and the water output rate of the Martins' sprinkler is 30 liters per hour, while the Kelly's is 35 liters per hour To determine how many hours each family used their sprinklers, knowing that in total 1925 liters of water were used, the following logical reasoning must be carried out:

There is a 5 liter difference between the Kelly sprinkler and the Martin sprinkler. If both used 30 liters of water per hour, for 60 hours 1800 liters (30 x 60) would have been used. Therefore, there is an excess of 125 liters that corresponds to an excess of consumption, attributable to the Kelly sprinkler, which consumes 5 liters more of water per hour than the Martin's. Thus, since 125/5 equals 25, in total the Kellys used their sprinkler for 25 hours, while the Martins did it for 35 hours.

This reasoning is proved with the following calculation:

25 x 35 = 875

35 x 30 = 1,050

875 + 1,050 = 1,925

y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594

Answers

Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

What is line of regression?

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

What is scalar?

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

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Answer:

$1,206

Step-by-step explanation:

what is the appropriate measure of the missing angle of the triangle shown

Answers

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

AC
Round your answer to the nearest hundredth.
3
70
B

Answers

Doesn’t make sense

Step by step explanation
Make more sense

BD bisects ABC if ABC=6x+58 find ABD

Answers

The measure of the angle ABD is (3x + 29)  

What is Bisecting angles?

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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BD bisects ABC if ABC=6x+58 find ABD

Someone help on this question ASAP

Someone help on this question ASAP

Answers

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Find the volume of this cylinder.
Round to the nearest tenth.
r = 3 cm
3cm
V = [?] cm³

Find the volume of this cylinder.Round to the nearest tenth.r = 3 cm3cmV = [?] cm

Answers

The volume of the given cylinder is 84.8 cm³.

Given: Radius of cylinder, r = 3cm Height of cylinder, h = 3cm

Formula used: Volume of cylinder = πr²hπ is a constant and is approximately equal to 3.14.

Volume of cylinder = πr²h= 3.14 x 3² x 3= 84.78 cm³ (rounded to the nearest tenth)= 84.8 cm³

Therefore, the volume of the given cylinder is 84.8 cm³.

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Find the area of the shaded part of the figure if a=7, b=10,c=3

Find the area of the shaded part of the figure if a=7, b=10,c=3

Answers

B*C+(B*A)/2
=10*3+((10*7)/2)
=65(a)

The total area of the composite figure that has a triangle and a rectangle is; A: 65

How to find the area of a composite Figure?

From the figure given, we see a rectangle and a triangle that makes up the composite figure.

Area of Triangle = 1/2 * base * height

Area of triangle = 1/2 * 10 * 7 = 35 sq.units

Area of rectangle = 10 * 3 = 30 sq.units

Total area of composite figure = 35 + 30

Total Area of composite Figure = 65 sq. units

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5. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?

Answers

The number of points gained overall by Julia playing the game is 30 point

How to determine the number of points gained overall?

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.

What is P(A or B)?

Answers

the answer is .50 let me know if this helps

Find the value of 36.8 divided by 2.3 show your reasoning

Answers

Answer:

the answer is 16

Step-by-step explanation:

because if you do long divison

You believe that eating an apple a day is healthy and want to design an experiment to find out. You have available 40 volunteers (22 men and 18 women) from a four-year college, all between the ages of 18 and 22. Design an experiment to help you determine if this practice is healthy or not, and explain, in terms of the important principles of experimental design, why you chose the design you did.

Answers

The best design for this experiment would be a repeated measures design. This is ideal to determine if eating an apple makes you healthy.

What is an experimental design?

An experimental design refers to the general structure of an experiment including how people are distributed into the control and experimental group to test a specific phenomenon.

What is a repeated measures design?

In a repeated measures design all participants are both parts of the control group, in this case, people who do not eat apples, and the experimental group, or people who eat apples.

What does this design imply?

In the case of determining if eating an apple every day, this design implies:

All participants will be asked to not eat apples every day for a specific period such as one or two months, and health levels will be measured during this time.After the first step, all participants will be asked to eat an apple every day during the period, and their health will be measured.The researcher can compare the results of each participant, which is more accurate than comparing one participant to another.

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how to express 3 ones and 8 tenths as a decimal??

Answers

Answer: am I don't know sorry i really need the points but i thing 3 can go in 8 1 time 0.38

Step-by-step explanation:

Your friend printed a picture of a regular 18-gon. She wants to cut the 18-gon into right triangles. If she divides the figure into 36 right triangles, what are the measures of the non-right angles of each triangle?

Answers

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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