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Digiron [165]
3 years ago
13

What is the measure of L ABD?

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

\large\boxed{39^o}

Step-by-step explanation:

m\angle ABC=90^o\\\\m\angle ABC=m\angle ABD+m\angle DBC\\\\m\angle DBC=51^o\\\\\text{Substitute:}\\\\m\angle ABD+51^o=90^o\qquad\text{subtract }\ 51^o\ \text{from both sides}\\\\m\angle ABD=39^o

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33

Step-by-step explanation:

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Classify the following as monomial binomial trinomial and polynomial x^2 + y^2 +z^2
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3 years ago
Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
algol [13]

Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

3 0
3 years ago
PLEASE HELP! I ACCIDENTALLY STARTED THIS QUIZ TOO EARLY!
telo118 [61]

Answer:

inside

√((5-(-5))^2+((-24)-(-8))^2)=√(10^2+16^2)=√356<25

4 0
2 years ago
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