Answer:
Step-by-step explanation:
AC is found using the Pythagorean theorem in the usual way:
AC² = AB² + BC²
AC² = 12² + 16² = 144 +256 = 400
AC = √400
AC = 20
You may recognize this is a 3-4-5 triangle scaled by a factor of 4.
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Then BK is found using similar triangles. All of the triangles in the figure are similar*, so ...
long side / hypotenuse = BC/AC = BK/AB
BK = AB(BC/AC) = 12(16/20) = 12×0.8
BK = 9.6
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* You can take it on faith, or you can prove it. The basic idea is that all of the triangles are right triangles and any two have at least one pair of corresponding acute angles that are congruent. Hence, they are AA similar. ∠ABK and ∠CBK are complementary, as are angles A and C. Of course ∠A is complementary to ∠ABK. Any angles complementary to the same angle are congruent.
Answer:
A
Step-by-step explanation:
1/3 ⋅ = −5
1. Combine multiplied terms into a single fraction
1/3 = −5
1a/3 = -5
2. Multiply by 1
1a/3 = -5
a/3 = -5
3. Multiply all terms by the same value to eliminate fraction denominators
a/3 = -5
3 • a/3 = 3 (-5)
4. Cancel multiplied terms that are in the denominator
3 • a/3 = 3 (-5)
a = 3 (-5)
5. Multiply the numbers
a = 3(-5)
a = -5
Answer:
7 trays
Step-by-step explanation:
Given the 
, the z score is obtained using the formula:
The z score value for a 95% interval is 1.645.
#Substitute our z value and solve for x:
Hence, the bakery must prepare 7 trays of doughnuts .
Answer: it’s 7 dollars per pound
Step-by-step explanation:
