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3 years ago

14

Find the measure of CB.

2 answers:

Zina [86]3 years ago

4 0

Answer:

CB = 20.

Step-by-step explanation:

If the triangle is Isosceles, assuming that <D = <B according to the markings, CB must be 20 since 32 is the greatest side and therefore the hypotenuse, 20 is the smaller side and therefore either opposite or adjacent. Given that two sides must be the same, since CB is opposite of angle D which is congruent to angle B, CB = side opposite of angle B = 20.

mamaluj [8]3 years ago

3 0

Answer:

I'm Pretty Sure Its 40.

Step-by-step explanation:

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Pythagorean theorem (picture provided)

const2013 [10]

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Step-by-step explanation:

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maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

$x\geq 0,y\geq 0$

$2x+3y\geq 15$

$3x+2y\geq 15$

The related equations of above inequalities are

$2x+3y=15$

$3x+2y=15$

For $2x+3y=15$ ,

x y

0 5

7.5 0

Plot (0,5) and (7.5,0) and join them by straight line.

For $3x+2y=15$ ,

x y

0 7.5

5 0

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

$2(0)+3(0)\geq 15\Rightarrow 0\geq 15$ False

$3(0)+2(0)\geq 15\Rightarrow 0\geq 15$ False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point P = 5x + 8y

(0,7.5) P=5(0)+8(7.5)=60

(3,3) P=5(3)+8(3)=15+24=39

(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

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3 years ago