In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.

Answers

Answer 1

Answer:

13

Step-by-step explanation:

two angles are congrunet

Answer 2

The measurement of angle I in the given triangle HIJ is 83.5°.

Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.

Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).

In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.

Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:

x + 13° + x = 180° (sum of angles in a triangle)

Solving for x:

2x + 13° = 180°

2x = 180° - 13°

2x = 167°

x = 167° / 2

x = 83.5°

So, m ∠I is 83.5°.

Learn more about isosceles triangle click;

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Complete question is given below:

In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.


Related Questions

Cristian comió un 3/8 de pizza y Adriana comió 1/4 de la misma pizza. ¿Quién comió mas?

Answers

Cristian! Si ocupas el resultado es 0.375 (el de cristian)

Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.

Answers

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

Task 2: Components of Your Will
Describe the components of your will and how you will specify each one.
Type your response here:

Answers

My will? Wym my will
Are you talking about the will when I die? Or

The algebraic expression that represents twice the sum of some number and 3 is?


n + 2(3)


2(n + 3)


2 + n + 3


2n + 3

Answers

Answer:

2(n+3)

Step-by-step explanation:

The sum to 3 = n+3

That sum doubled (~twice) = 2(n+3)

Answer:

2(n+3)

Step-by-step explanation:

Let's look at the statement:

'twice the sum of some number and 3'

Twice means 2 multiplied by something.

What is that something? It is the sum of some number and 3.

Let's replace the some number with variable n.

So it becomes the sum of n and 3, which translates to n+3.

So you put the two parts together:

2 multiplied by (n+3), rewritten as 2(n+3).

True or false.The perimeter is the boundary of a shape or an object.

Answers

True.
In geometry, the perimeter can be defined as the path or boundary that surrounds a shape.

Suppose that Juan can choose to get home from work by car or bus.




When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.

When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.

Because the bus is cheaper, he uses the bus 83 percent of the time.



What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?

Answers

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Arrived home after 7 p.m.Event B: Got home by bus.

The percentages associated with arriving home after 7 p.m. are:

14% of 17%(by car).62% of 83%(by bus).

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

You can learn more about conditional probability at https://brainly.com/question/14398287

How many solutions does 7( X -5 ) = X +13

Answers

Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

4. What are deductions?

A.)the amount of money added to the gross pay for commission-based sales

B.)the amount of money included with tips

C.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

D.)incentives employees earn for the amount sold

Answers

Answer:

C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Step-by-step explanation:

Answer:

the answer is C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Help!! You have about 4+ hours to answer!! Help!!

Answers

Answer:

I think I'm doing this right?

Step-by-step explanation:

4.3

----

a. 4.3

b. 4.3

c. 4

Answer:

1. 4.30

2. 4.3

3. 4

Step-by-step explanation:

a. hundredths

4.30 is exactly in between 4.29 and 4.31

a. at the top: 4.31

a. at the bottom: 4.29

a. in the middle: 4.30

b. tenths

4.3 is exactly in between 4.2 and 4.4

b. at the top: 4.4

b. at the bottom: 4.2

b. in the middle: 4.3

c. ones

4 is in the middle of 3 and 5

c. at the top: 3

c. at the bottom: 5

c. in the middle: 4

When playing a game of capture the flag how would a player best position themselves from being tagged and placed in the jail?

On their own team's side of the center line
On their opponent's side of the field, nearest the flags
Near the center line so they can move back and forth between the two sides
Near the back corner of the opponents flag area

Answers

Answer:

Near the center line so they can move back and forth between the two sides

Step-by-step explanation:

Help PLSS Thanks ………………….

Answers

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Try 3rd one that’s the best one on there

Which expression shows the distance on the number line between −7 and 16?

∣∣−7+16∣∣

∣∣−7−16∣∣

∣∣−16−(−7)∣∣

∣∣7−16∣∣

Answers

The expression will be d

Answer:

c

Step-by-step explanation:

Hope this helps

Brainliest pls

Have a great day!

I need help...........

Answers

Answer:

D. 62 1/4 inches

Step-by-step explanation:

Convert 3 1/2 to 3 2/4 so the denominator is 4. Then add that to 58 3/4 inches and you get 62 1/4.

Hope this helps!

Express 8.4km/min in km/hr

Please answer quickly i have exam tomorrow!!!

Answers

Answer:

540km/hr

Step-by-step explanation:

8.4km/min×60min/km

=8.4/60

=540km/hr

pls help asap! i will mark brainliest!

Answers

Answer:

19 or 17

Step-by-step explanation:

Show that x^2-8x+20 can be written in the form (x-a)^2+a where a is an integer

Answers

Step-by-step explanation:

Let's complete the square

x²-8x=-20

x²-8x+(-4)²=-20+(-4)²

x²+(-4)²=-20+16

(x-4)²=-4

(x-4)²+4

where a is an integer as required

What are the possible integer values of x when 3 < x < 7.

Answers

Answer:

4,5 and 6

Step-by-step explanation:

If 3<x that means x>3

If x<7 that means 7>x

possible integer values are 4,5 and 6

What is the measurement of this angle?

Answers

The measurement of all angles is 180, so just subtract the other two angles from 180

180 - 59 - 67 = 54 degrees

Answer:

54°

Step-by-step explanation:

All the angle measures of a triangle must add up to equal 180°. So,

59°+67°+x°=180°

x=54°

Help would be much appreciated! :)​

Answers

Answer:

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Algebra II

Polynomial Division

Long DivisionSynthetic Division

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]

Step 2: Long Division

See attachment.

Multiply quotient a and divisor, then subtract from dividend:                      [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend:              [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend:              [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder:                                                                                               [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]

Please excuse the bad handwriting.

what is the answer because i need help with it
Josh will take 10 test in 5 weeks at school how many test will he have taken after 7 weeks

Answers

Answer:14

Step-by-step explanation:

He takes 2 a week so 2 times 7 is 14

Find the perimeter. Simplify your answer.

Answers

Answer:

19t+4

Step-by-step explanation:

Perimeter just means add up all the sides

(t+5)+(8t-10)+(t+5)+(9t+4)

= t+8t+t+9t+5-10+5+4

=19t+4

Which expression is equivalent to 1/2(4x+8)? Answer choices: A. x + 4 B. 2x+4 C. 2x+8 D. 4x+4. Please provide explanation as well!

Answers

Just distribute the 1/2
So it would be 1/2 x 4x = 2x
Then 1/2 x 8 = 4
Combine them: 2x+4

Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2

Answers

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

What is the greatest common factor of 15, 35, and 10?

Answers

Answer: The GCF of 10, 15, and 35 is 5.

Would appreciate brainliest <3

Answer:

5.

Step-by-step explanation:

First, we write them in prime factor form, then pick out the common factors.

15 = 3*5

35 = 5*7

10 = 2*5

So the GCF is 5.

A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?

Answers

Answer:

i think 222 for eatch side

Step-by-step explanation:

Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?

Answers

Answer:

y = kxz

Step-by-step explanation:

(Find K)

20 = k(4) (3)

20/12 = k

k = 5/3

(Find Y)

y = (5/3)(2)(3)

y = 10

I hope this helps.

Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?

a. 3/10 mile per hour

b. 5/6 mile per hour

c. 1 1/5 miles per hour

d. 2 miles per hour

Answers

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.

Answers

Answer:

-145/63

Step-by-step explanation:

A=-4.5-2. B=0-3.5 a) What are the coordinates of A?
b) What are the coordinates of B?

Answers

Step-by-step explanation:

Coordinates of A are (-4.5, 2).

Coordinates of B are (0, -3.5)

Answer:

Both answers are true

Step-by-step explanation:

Coordinates of A are [-4.5,2]

Coordinates of B are [0,-3.5] { because it lies on the negative side of Y axis}

How many bagels can you buy for $50?​

Answers

Answer: about 120??

Step-by-step explanation: pls leave a thanks if helped <3

Answer: 120 bagels

Step-by-step explanation:

$50/$5 = 10 dozens of bagels

10 dozens x 12 = 120 bagels in total

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