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3 years ago

Another geometry problem!

Mathematics

2 answers:

Ahat [919]3 years ago

8 0

The triangle is isosceles with vertex angle = 116
So m < E = (180 - 116) / 2 = 32 degrees

andriy [413]3 years ago

8 0

Comment

<em>Fact One</em>
You are given 1 angle which is enclosed by 2 equal sides. That means you have an isosceles triangle. The angles opposite the equal sides are equal.

<em>Fact Two</em>
Every triangle has 180°

Step One
Set up the equation using fact one above.
2 equal angles + 116 = 180
2x + 116 = 180

Step Two
Solve the equation
2x + 116 = 180 Subtract 116 from both sides.
2x = 180 - 116
2x = 64 Divide by 2
x = 64/2
x = 32

Conclusion
Each of the equal angles = 32°

E = 32° <<<<< answer

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s2008m [1.1K]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

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3 years ago

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Alexxandr [17]

Answer:

Step-by-step explanation:

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Talja [164]

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3 years ago

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