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2 years ago

What is the angle of BTC, Angle TBC,Angle TCB

Mathematics

1 answer:

Goryan [66]2 years ago

8 0

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

<h3>How to determine the angles of a triangle inscribed in a circle</h3>

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823

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Degger [83]

Answer:

The greatest number of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5

Step-by-step explanation:

Let

x ---->the greatest number of boxes of raspberries that Andrea can buy

y ---->the greatest number of bunches of bananas that Andrea can buy

we know that

$100\%+8\%=106\%=108/100=1.08$ ---> sales tax

$\frac{x}{y} =\frac{7}{5}$

$x=\frac{7}{5}y$ ----> equation A

$1.08[2.50x+3.00y]\leq 135$ ----> inequality B

substitute equation A in the inequality B

$1.08[2.50(\frac{7}{5}y)+3.00y]\leq 135$

solve for y

Multiply by 5 both sides to remove the fraction

$18.9y+16.2y\leq 675$

$35.1y\leq 675$

$y\leq 19.23$

The maximum value of y is 19

Find the value of x

replace the value of y in equation A until you get an integer value that satisfies the ratio 7:5

For y=19

$x=\frac{7}{5}(19)$

$x=26.6$

For y=18

$x=\frac{7}{5}(18)$

$x=25.2$

For y=17

$x=\frac{7}{5}(17)$

$x=23.8$

For y=16

$x=\frac{7}{5}(16)$

$x=22.4$

For y=15

$x=\frac{7}{5}(15)$

$x=21$

therefore

The greatest number of of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5

Verify the inequality B

$1.08[2.50(21)+3.00(15)]\leq 135$

$1.08[52.5+45]\leq 135$

$105.3\leq 135$ ----> is true

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4 years ago

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VikaD [51]

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3 years ago

How can you quickly determine the number of roots a polynomial will have by looking at the equation?

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2 years ago

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Rama09 [41]

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