What is the value of h in the figure below? In this diagram, /\BAD ~ /\CBD.

Mathematics

1 answer:

dusya [7]3 years ago

3 0

Answer:

Step-by-step explanation:

(25-16) / h = h / 16

9/h = h/16

=144 ( 9 x 16)

h₂ = 144

h= square root 144

h= 12

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Dani uses the table to help her convert measurements when she is sewing

Aleks [24]

The first thing we should do is see what relationship we have:
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answer:
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Read 2 more answers

Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively: