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DerKrebs [107]
3 years ago
12

HELP ASAP PLS AHHHHHH

Mathematics
1 answer:
Arada [10]3 years ago
3 0

Answer:

23 tables were used that day at lunch.

Step-by-step explanation:

203 - 19 = 184

184 ÷ 8 = 23

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In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th
olya-2409 [2.1K]

Answer:

\frac{BE}{EC} =\frac{1}{3}

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

\frac{BK}{CK} =\frac{1}{4}

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE                ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE     ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK  and Δ EBK are similar

so we have

\frac{AD}{BE} =\frac{DK}{BK}

\frac{AD}{BE} =\frac{4}{1}

\frac{BC}{BE}=\frac{4}{1}     ( ABCD is parallelogram so AD=BC)

\frac{BE+EC}{BE}=\frac{4}{1}         ( BC= BE+EC)

\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}

1+\frac{EC}{BE}=4

\frac{EC}{BE}=3  ( subtracting 1 from both side )

\frac{EC}{BE}=\frac{3}{1}

taking reciprocal both side

\frac{BE}{EC} =\frac{1}{3}


8 0
3 years ago
Find the axis of symmetry for this parabola: <br><br> y=-5x^2-10x-13
Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form,  y = a ( x − h ) 2 + k , to determine the values of  a ,  h , and  k . a= 5 h = 1 k = − 18

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6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0
3 years ago
Solve the following equation for x, in terms of a and b <br><br> ax= 15+bx
ZanzabumX [31]
Ax=15+bx
ax-bx=15
x(a-b)=15
x=15/(a-b)

4 0
3 years ago
PLZ HELP!!!!!!35. ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
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because those are the cords your said c was at

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