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°.

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Complete question is given below:

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


Related Questions

Which expression shows the distance on the number line between −3 and −10 ?

Answers

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

What is the line that goes through (2,3) and is perpendicular to the line y = -2x + 9?
ASAP :)

Answers

M1=-2

M2=1/2

y-3/x-2=1/2

2y=x+8

segment DE is a midsegment of triangle ABC. find the value of x

Answers

Answer:

x = 10

Step-by-step explanation:

The value x is 10 units.

What is midsegment?

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.

Given that, segment DE is a midsegment of triangle ABC.

According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore, DE = 1/2 AB

5 = 1/2x

x = 5×2

x = 10

Hence, the value of x is 10 units.

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Subtract the linear expressions.

(34x−1)−(13x+4)

What is the difference?

Enter your answer in the box. Enter fractions as simplified fractions.

Answers

Answer: 21x-5

Step-by-step explanation:

All you have to do is subtract like you normally would and you'll get the answer

How to solve quadratic using completing the square.

Answers

Answer:

You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?

Answers

1040 - 650 = 390

By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.

I hope this helps! :)

Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip

Answers

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

How many times does 9 go into 695 with partial quotient divison

Answers

it's 77 remainder two

Opps, forget to add picture. 6 minutes left. Pls help, thank you!

Answers

Answer:

I don't know sorry please forgive me

Answer:

D

Step-by-step explanation:

mean is 11.25 and midian is 10.50

10;11;15;15;17;22;11 what is the mode of this data?

Answers

Answer:

11, 15

Step-by-step explanation:

They both occur two times so they are tied for mode so both numbers is the answer

Please help with this math problem! Will give brainliest!! :)

Answers

Answer:

x = 20

y = 70

Step-by-step explanation:

Solve for x:

5x - 20 = 3x + 20

2x - 20 = 20

2x = 40

x = 20°

Solve for y:

x + y = 90°;

(20) + y = 90°

y = 90 - 20

y = 70°

Hope this helps!

What is the time difference between usa and england?

Answers

Answer:

-5 hours

Step-by-step explanation:

To all who are good at math please help 80 points

Answers

Answer:

Number 4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Quadrilateral HUJK has coordinates H(2, 3), 1(2, 6), J(-1, -8), and K(-2, 4). If the quadrilateral is
translated and H' (the image point of H) is located at (6, 2), find the coordinates of J' (the
image point of J).

Answers

Answer:

Ima troll

Step-by-step explanation:

y= -8/9 (x+1)+6
convert to standard form

Answers

Answer:

mm

kl l

Step-by-step explanation:

What is the remainder when you divide 2x3 4x2 - x 3 by x 2?.

Answers

the answer is 5 hope this helps lol

Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?

Answers

Answer:

0.5cups / [tex]\frac{1}{2}[/tex] a cup

Step-by-step explanation:


The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.

Answers

The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.

Let the height of the cliff be represented by h, so that:

From the triangle 1, we have:

tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]

⇒ h = tan [tex]32^{o}[/tex]*x

    h = x tan [tex]32^{o}[/tex] ............. 1

Also, from the bigger triangle, we have:

tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]

h = tan [tex]24^{o}[/tex] (80 + x) .........  2

Now equating the expressions for h in equations 1 and 2, we have:

x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)

0.6249x = 0.4452 (80 + x)

               = 35.616 + 0.4452x

0.6249x - 0.4452x = 35.616

0.1797 x = 35.616

x = [tex]\frac{35.616}{0.1797}[/tex]

x = 198.2 m

Substitute the value of x in equation 1;

h = x tan [tex]32^{o}[/tex]

  = 198.2 * 0.6249

 = 123.8552

h = 123.86 m

Therefore, the height of the cliff is approximately 123.86 m.

A sketch to this question is attached.

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Which equation has the solution x = 3?


Select each correct answer.

9−3x=0

2x + 4 = 10

9x−1=4

3x + 1 = 9

x3+5=6

5x−7=1

Answers

Answer:

First two equations

Step-by-step explanation:

9-3x=0

9=3x

3=x

x=3

2x+4=10

2x=6

x=3

9x-1=4

9x=5

x=5/9

3x+1=9

3x=8

x=8/3

x^3+5=6

x^3=1

x=1

5x-7=1

5x=8

x=8/5

How do you do order of operations step by step?.

Answers

Answer:

                    "Please excuse my dear Aunt Sally or PEMDAS"

____________________________________________________________

Please stands for Parentheses, so we solve everything inside of the parentheses first.

Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.

Multiplication, which is the My, and this happens from left to right.

And then division, which is the “Dear,” which also happens left to right.

And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”

given m || n, find the value of x and y.

Answers

Answer: x = 56  and y= 56

Step-by-step explanation: 124 + 124 = 248  

360 - 248 = 112

112 divided by 2 = 56

Can someone please tell me the answer to this?

Answers

Answer:

look at the picture ..........

Answer:

Step-by-step explanation:

x × [tex]x^{5}[/tex] = [tex]x^{6}[/tex]

[tex]x^{2}[/tex] × [tex]x[/tex] = [tex]x^{3}[/tex]

[tex]\frac{x^6}{x^3}[/tex]= x³

7. Find the rate of change from the table.
0
2
4
13
6
-10
20
50
80

Answers

Answer:

multiplying 2 then dividing

Step-by-step explanation:

- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?​

Answers

(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

 

(b) The possible numbers are 8.45 to 8.49, inclusively

Answer:

Table is below in explantation

Not proportional

yes, linear

Step-by-step explanation:

We substitute and solve:

TABLE:

X --> Y

0 --> -2 (0-2 = -2)

1 --> -1

2 --> 0

Yes, it is linear, the slope is 1 and is written in slope - intercept form

No, not proportional, the y - intercept is (0, -2) not (0,0)

A train traveling 200 miles per hour for 1 1/2 hours covers the same distance as one traveling at 75 miles per hour for how many hours?

Answers

Answer:

4

Step-by-step explanation:

200 * 1 1/2 = 300 miles traveled

300/75 = 4 hours

What are 2 multiplication expressions that have the product of 28.34 ?!?!?!? NEED HELP ASAP!!!!

Answers

Answer:

28.34  x 1 = 28.34

14.17 x 2 = 28.34

There are required two multiplication expressions that might generate the result 28.34. Here are a number of such examples:

28.34 × 1

14.17 × 2

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have to determine two multiplication expressions that have the product of 28.34

As per the given question, the required solution would be as:

There are many possible multiplication expressions that could result in the product of 28.34. Here are two examples:

28.34 × 1

14.17 × 2

In the first example, the product is 28.34 because any number multiplied by 1 is equal to itself.

In the second example, the product is 28.34 because 14.17 multiplied by 2 is equal to 28.34.

Hence, the required answers are 28.34 × 1 and 14.17 × 2

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Pls can someone pls help me
Please show your work

Answers

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.

The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.

120 = -8 + 16x

128 = 16x

8 = x

x = 8

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:

35-2x4 to the 2 power

Answers

Answer:

I belive the answer is 3.

Step-by-step explanation:

35-2x4^2

35-2x16

35-32

3

Answer:

[tex]1225-140x^4+4x^8[/tex]

Step-by-step explanation:

(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]

Applying this formula, we get 1225+4x^8-140x^4

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