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3 years ago

Ira wants to buy a skateboard. She paid $120 including the sales tax of 7%.

Mathematics

1 answer:

satela [25.4K]3 years ago

8 0

the original cost was $111.60.

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10. What is the missing statement in the proof?

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∠3 ≅ ∠2.

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3 years ago

For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.

Norma-Jean [14]

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2 years ago

Un objeto es lanzado verticalmente hacia arriba con una rapidez de 34 m/s

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3 years ago

The coordinate points of T are (0,6). The midpoint of ST is (6,-8). Find the coordinate of point S.

givi [52]

Answer:

The coordinates of the point S = (12, -22)

Step-by-step explanation:

The coordinate points of T = (0,6)

Mid point of ST = (6,-8)

Let the coordinates of S = (a,b)

Now, BY MID POINT FORMULA:

If (x, y) and (z, w) are the line point joining line segment and (p,q) is the coordinate of mid point. Then

$(p, q) = (\frac{x + z}{2} , \frac{y + w}{2} )$

So, here similarly, $(6, -8) = (\frac{(0+a)}{2} , \frac{6+ b}{2} )$

⇒ $6 = \frac{0+a}{2} , -8 = \frac{6+ b}{2}$

⇒ a =2 x 6 = 12, b = 2 (-8) -6 = -22

⇒(a,b) = (12, -22)

Hence, the coordinates of the point S = (12, -22)

6 0

3 years ago

1. In the given figure. BEST is a cyclic quadrilateral. ES is produced so that BE=SN. If ET is the bisector of angle BES, prove

padilas [110]

The triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral.

<h3>How to determine the existence of an isosceles triangle</h3>

In this question we must apply geometric properties of angles and triangles to determine that the triangle NET is an isosceles triangle. Isosceles triangles are triangles with two sides of equal length. In addition, we must apply the geometric concept of proportionality.

Now we proceed to prove the existence of the isosceles triangle:

BE ≅ SN Given
ET is the bisector of ∠BES Given
ET/ES = ET/EB Definition of proportionality
ES = EB (3)
ES ≅ EB Definition of congruence
ET ≅ TN SSS Theorem/Result

Therefore, the triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral. $\blacksquare$

To learn more on isosceles triangles, we kindly invite to check this verified question: brainly.com/question/2456591

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3 years ago