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e-lub [12.9K]
2 years ago
6

Pls answer this questionn plss ill mark u brainliest

Mathematics
1 answer:
DedPeter [7]2 years ago
5 0
Okay so there are 100 white balloons, 200 pink balloons, and we are specified that the ratio of pink to yellow is 10:1 soo we can plug 200:20 which can be simplified to 100:10 which can then be simplified to 10:1 there is our ratio. So there are 29 yellow balloons. Therefore there are only 80 balloons left which would mean there are 80 blue balloons!:)
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prove “if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are
arsen [322]

Assume that,

The two angles of one triangle are congruent to two angles of a second triangle.

To prove: The third angles of the triangles are congruent.

Since, two angles of one triangle are congruent to two angles of a second triangle.

Therefore,

\begin{gathered} \angle C=\angle F \\ \angle A=\angle D \end{gathered}

Adding these two we get,

\begin{gathered} \angle C+\angle A=\angle F+\angle D \\ 180-\angle B=180-\angle E\text{  (Using angle sum property of a triangle)} \end{gathered}

Cancelling 180 on both sides, we get

\begin{gathered} \angle B=\angle E \\ \therefore\angle B\cong\angle E \end{gathered}

Hence, if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are congruent.

3 0
1 year ago
Evaluate cot870°.<br> 1. - sqrt3<br> 2. -1/sqrt3<br> 3. 1/sqrt3<br> 4. sqrt3
ivolga24 [154]

ANSWER

-\sqrt{3}

EXPLANATION

The given angle is 870°.

870°-360°-360°=150°

This means that:

870° is coterminal with 150°, hence its terminal side is in the second quadrant.

It makes an acute angle of 30° with the x-axis.

Note that cotangent is negative in the second quadrant,

Hence,

\cot(870 \degree)  =  \cot(150 \degree)  =  -  \cot(30 \degree)  =  -  \frac{1}{ \tan(30 \degree) }  =  - \sqrt{3}

The first option is correct.

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3 years ago
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ryzh [129]
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1.05,
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