If triangle ABC is similar to triangle EHG, find the measure of angle EHG.

If Triangle ABC Is Similar To Triangle EHG, Find The Measure Of Angle EHG.

Answers

Answer 1

First we need to find all the interior angles.  So we know that the inside of a triangle (all the angles added up) equals 180. So we need to equal all the inside angles to 180.

2x + x + 60 = 180

Now lets start to solve. First let's subtract the 60 from both sides.

2x + x = 120

Now we need to add the x's together.

3x = 120

Now we must divide the 120 by 3 to get x by itself.

x = 40

Now just replace the x with 40 to find each of the sides. I'm guessing the triangles are reflecting each other so <EHG would be equal to 80.

ALSO to check if 40 would be correct, add all the angles together in the same triangle and they SHOULD add up to be 180! Which they do!

Answer 2

Step-by-step explanation:

Firstly let's calculate the unknown angles in triangle ABC

2x + x + 60° = 180° { being sum of angles of triangle }

3x = 180° - 60°

3x = 120°

x = 120° / 3

x = 40°

2x = 2 * 40° = 80°

Now since it is said that triangle ABC and triangle EHG are similar so

< EHG = < ABC = 2x = 80°

Hope it will help :)


Related Questions

An equilateral triangle has a perimeter of 42. What is it's height?

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Answer:

Given that: The perimeter of the equilateral triangle is 42 inches. Side of the triangle=Perimeter/3=42/3=14 inches. The height of the triangle is 12 inches

Step-by-step explanation:

12 inches hope it helps

That person that answered your question is right

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Step-by-step explanation:

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6d-30             distributive property

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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One eraser costs $1.47.

Multiply by 4 to find the cost of 4 erasers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

m

a

t

h

w

a

y

Answer:

answer is 3 11/12

Step-by-step explanation:

1 4/6 =10/6

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when adding fractions that are do not share a common denominatour you have to find a common multiple

which in this case is 12

so 9/4 timesed the top and the bottom by 3 gives you 27/12

and 10/6 timesed the top and bottom by 2 gives you 20/12 and then you add the the nominators which is 20+27 which then gives you 47/12 and then to change it back to mixed fraction you will get 3 (wholes) and 11/12 (fraction)

Hope this helps xx

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Answer:

x = 9

-1 + 14x = 12x + 17

Answer:

x = 9

Step-by-step explanation:

-1 + 14x = 12x + 17

Rearrange terms.

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Add 1 to both sides of the equation.

14x - 1 + 1 = 12x + 17 + 1

Simplify.

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Subtract 12x from both sides of the equation.

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Simplify.

2x = + 12x - 12x + 18

2x = 18

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Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Your GUIDE}\huge\downarrow[/tex]

[tex]\large\text{The DISTRIBUTIVE FORMULA is......}\\\large\text{a(b + c)}\\\large\text{a(b) + a(c)}}\\\large\text{a(b) = ab}\\\large\text{a(c)=ac}\\\large\text{= \underline{ab + ac}}[/tex]

[tex]\text{Now lets SOLVE for your QUESTION, shall we?}}[/tex]

[tex]\large\text{\bf{9(2n +1)}}\\ \large\text{\bf{9(2n) +9(1)}}\\\arge\text{\bf{9(2n)=18n}}\\\large\text{\bf{9(1)=9}}\\\large\text{\bf{= \underline{18n+9}}}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 18n +9}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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Step-by-step explanation:

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Answers

Answer:

I'm guess that the parentheses looking sign means absolute value so the answer should be the first choice. (-6, and -2)

Step-by-step explanation:

-6 plus 4 = -2 but since we are doing absolute value then the absolute value of -2 is 2.

-2 plus 4 = 2 So, this is also correct because the answer is 2.

Hope this helps! :)

The solution is represented by  the first number line, which has the solutions x=-6 and x=-2.

What is number line?

A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

here, we have,

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This means that we should have two different solution in the real number line.

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when we clear out the absolute value, we will have two possible solutions:

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In discrete mathematics, and mοre specifically in graph theοry, a graph is a structure amοunting tο a set οf οbjects in which sοme pairs οf the οbjects are in sοme sense "related". The οbjects cοrrespοnd tο mathematical abstractiοns called vertices (alsο called nοdes οr pοints) and each οf the related pairs οf vertices is called an edge (alsο called link οr line).

Typically, a graph is depicted in diagrammatic fοrm as a set οf dοts οr circles fοr the vertices, jοined by lines οr curves fοr the edges. Graphs are οne οf the οbjects οf study in discrete mathematics.

After graphing  x⁵ – 4x³ + x² + 2, we have

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local maximums : (-1.63, 10.47)

local minimums : (1.46, -1.68)

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Step-by-step explanation:

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No next time ask nicely instead of “and answer the question that follow”

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hope it helps too :)

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