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mars1129 [50]
3 years ago
12

Which statements are true about the triangle? Select all that apply.

Mathematics
2 answers:
Bogdan [553]3 years ago
7 0

Answer:

The triangle is obtuse.

It is an isosceles triangle.

The angles add up to 180°.

Step-by-step explanation:

Obtuse triangles are defined as triangles with one angle obtuse angle over 90°. This triangle has an angle of 100°, so it is an obtuse triangle!

Isosceles triangles have 2 equal sides. The two orange dashes on the left and right legs of the triangle tell us they are equivalent, so this is an isosceles triangle as well!

Finally, <em>all </em>triangles add up to 180°! We can prove this by adding the angles.

40° + 40° = 80°

100° + 80° = 180°

Zepler [3.9K]3 years ago
4 0

Answer:

The triangle is obtuse.

It is an isosceles triangle.

The angles add up to 180°.

Step-by-step explanation:

Correct statements and reasons are in bold.

The triangle is acute. No, since one angle is obtuse.

The triangle is obtuse.  Yes, because it has an obtuse angle.

It is an isosceles triangle.  Yes, because 2 sides are congruent.

It is a scalene triangle.  No, since 2 sides are congruent.

It is an equilateral triangle.  No, since not all sides are congruent.

The angles add up to 180°. Yes because that is true for every triangle.

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Step-by-step explanation:

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• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)]  by excluding the margin of top and bottom from the total height.

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& y=\frac{9000}{x} \\  & A=(x-10)(y-6) \\  & A=xy-6x-10y+60 \\  & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\  & A=9060-6x-\frac{9000}{x} \\

On taking the first order derivative of A

\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]

& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\          & 6{{x}^{2}}=90000 \\          & x=\sqrt{15000} \\          & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\

• Hence \[x=10\sqrt{150}\] and \[y=\frac{900}{\sqrt{150}}\]

Learn More about Differentiation Here:

brainly.com/question/13012860

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Step-by-step explanation:

From the figure it is clear that:

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3000 text messages can be sent without breaking the budget.

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Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:

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90 / 0.03 = X

3000 = X

Therefore, 3000 text messages can be sent without breaking the budget.

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