If BC = 9 and CD = 29, find AC.
38 Squared Root
3 Radical 29
38
261

Answers

Answer 1

Answer: $\Delta ABC\sim\Delta DAC\n\nthen\n\n(|AC|)/(|BC|)=(|CD|)/(|AC|)\n\n|AC|^2=|BC|\cdot|CD|\n\n|AC|^2=9\cdot29\n\n|AC|=√(9\cdot29)\n\n|AC|=3√(29)$

Answer 2

Answer:

3/29

Step-by-step explanation:

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3x – 57 + x = 63 solve for x

Name the solid figure that has 3 rectangular faces and 2 triangular faces

Answers

The answer is triangular prism :D

18-6and -18+6 is the same thing

Answers

Answer:

Step-by-step explanation:

18-6=12

-18+6=-12

It is the opposite because rather than subtracting from a positive, you're adding to a negative.

Hope this helps :)

The answers to 19 & 20

Answers

Ighty thanks ;;;;;;))))))

The constraints of a problem are listed below. What are the vertices of the feasible region?2x+3y>12
5x+2y >=15
x>=0 y>=0

A) (0,0) --- (0,4) --- (21/11, 30/11)--- (3,0)
B) (0,0) ---(0,15/2) ---(21/11,30/11),--- (6,0)
C) (0,4) ---(21/11,30/11)--- (3,0)
D) (0,15/2)---(21/11,30/11)---(6,0)

Answers

The vertices of the feasible region of the inequality is given by 2x + 3y > 12 and 5x + 2y ≥ 15

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2x + 3y > 12 be equation (1)

5x + 2y ≥ 15 be equation (2)

where x , y ≥ 0

Now , the inequalities are plotted on the graph ,

where the vertices of the feasible region is given by A , B and C

A ( 0 , 4 ) , B ( 21/11 , 30/11 ) , C ( 3 , 0 )

Hence , the inequalities are solved and the graph is plotted

To learn more about inequality equations click :

brainly.com/question/11897796

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Answer:

A IS THE ANSWER

Step-by-step explanation:

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Two triangles are similar . The sides of the smaller triangle have lengths of 8,12, and 16 centimeters. The perimeter of the larger triangle is 54 centimeters. Find the length of the shortest side of the triangle.

Answers

Answer:

The shortest side of the larger triangle is 12 cm

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its perimeters is equal to the scale factor

step 1

Find the perimeter of the smaller triangle

$P=8+12+16=36\ cm$

step 2

Find the scale factor

Divide the perimeter of the larger triangle by the perimeter of the smaller triangle

$(54)/(36)= 1.5$

step 3

Find the length of the shortest side of the larger triangle

Multiply the shortest side of the smaller triangle by the scale factor

$(8)1.5=12\ cm$

3. Irvin cut a 47 in. wire into two pieces. The longer piece is 13 in. longer than the shorter piece. What is the length of the longer piece?_________ in.

Please Help!!!

Answers

Let's say x to the shoter piece's length, since the longer one is 13 in longer, it's length has to be x+13 in. We know the sum of these pieces is equal to 47. So let's solve:
$x+x+13=47\n 2x+13=47\n 2x=47-13\n 2x=34\n x=\frac { 34 }{ 2 } \n x=17$
the shorter piece's length 'x' is 17 , so the longer piece's length 'x+13' is : $x+13\n 17+13=30$