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Ghella [55]
3 years ago
10

Please help with this question!! HELP ASAP!!

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

DG is 8.75.

Step-by-step explanation:

Because we have an isosceles triangle with a perpendicular bisector, we have two identical triangles which share equal sides. We know DF is 14 and FG is 4x. These are corresponding sides and we set them equal.

4x=14

x= 3.5.

We also know DE=EG and that DE=1.25x.

We substitute this term and x=3.5.

1.25x=EG

1.25(3.5)=EG

EG is 4.375.

We double 4.375 to find the whole segment DG since they are equal halves. DG is 8.75.


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4 years ago
Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)
ikadub [295]

<em>The right answer for:</em>

<em>cos(-170°) = _____</em>

<em>is:</em>

<em>-cos10°</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point (x,y) on the graph of y=cos(x) then the point (-x,y) also lies on the graph of the function. In other words, we can write:

cos(-170^{\circ})=cos(170^{\circ})

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cos(170^{\circ})=cos(180^{\circ}-10^{\circ})

By property:

cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\  cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

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Answer:

i deserved these

Step-by-step explanation:

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