Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc EH
Remember that the measure of the complete circle is equal to 360 degrees
so
Remember that
----> by central angle
----> by central angle
---> by central angle
substitute the given values
step 2
Which arc is congruent to Arc E H?
we know that
therefore
arc EH is congruent with arc EFG
or
arc EH is congruent with minor arc GE
The coordinates of P are (9, -2).
Algebraically speaking, a translation is defined by the following expression:
(1)
Where:
- - Original point.
- - Translated point.
- - Translation vector.
If we know that and , then the coordinates of the original point is:
The coordinates of P are (9, -2).
We kindly invite to see this question on translations: brainly.com/question/17485121
The correct answer is: [B]: "40 yd² " .
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First, find the area of the triangle:
The formula of the area of a triangle, "A":
A = (1/2) * b * h ;
in which: " A = area (in units 'squared') ; in our case, " yd² " ;
" b = base length" = 6 yd.
" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
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→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;
= " 24 yd² " .
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Now, find the area, "A", of the square:
The formula for the area, "A" of a square:
A = s² ;
in which: "A = area (in "units squared") ; in our case, " yd² " ;
"s = side length (since a 'square' has all FOUR (4) equal side lengths);
A = s² = (4 yd)² = 4² * yd² = "16 yd² "
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Now, we add the areas of BOTH the triangle AND the square:
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→ " 24 yd² + 16 yd² " ;
to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
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