A=5

What is 11 divided by 1/4

Aneli [31]

Answer:2.75

Step-by-step explanation:

4 0

2 years ago

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-------100 POINTS------<br> Complete the proof of the Pythagorean theorem.

KIM [24]

Step-by-step explanation:

Complete the proof of the Pythagorean theorem is given below.

Statement Reason

1. ΔABC is a right triangle, with a 1. Given

right angle at ∠C

2. Draw an altitude from point C 2. From a point not on a line, exactly

to AB one perpendicular can be drawn through the point to the line

3. ∠CDB and ∠CDA are right 3. Definition of altitude

angles

4. ∠BCA ≅ ∠BDC 4. All right angles are congruent

5. ∠B ≅ ∠B 5. $Reflexive\:Property$

6. ΔCBA ~ ΔDBC 6. AA Similarity Postulate

7. $\frac{a}{x}\:=\:\frac{c}{a}$ 7. $Polygon\:Similarity\:Postulate\:\:\:$

8. $a^{2} = cx$ 8. $Cross\:Multiply\:and\:Simplify$

9. ∠CDA ≅ ∠BCA 9. $All\:Right\:Angles\:are\:Congruent$

10. ∠A ≅ ∠A 10. $Reflexive\:Property$

11. ΔCBA ~ ΔDBA 11. AA Similarity Postulate

12. $\frac{b}{y}\:=\:\frac{c}{b}=$ 12. $Polygon\:Similarity\:Postulate$

13. $b^2\:=\:cy$ 13. $Cross\:Multiply\:and\:Simplify$

14. $a^2\:+\:b^2\:=\:cx\:+cy$ 14. $Addition\:Property\:of\:Equality$

15. $\left(CB\right)^2+\left(CA\right)^2=\left(AB\right)\left(DB+BA\right)$ 15. Distributive Property

16. $x + y = c$ 16. $Segment\:Addition\:Postulate$

17. $a^2\:+\:b^2\:=\:c^2$ 18. $Substitution\:Property$

7 0

3 years ago

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Please answer the question below

alexira [117]

Answer:

11

Step-by-step explanation:

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3 years ago

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Express the system as AX = B; then solve using matrix inverses

Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]$

$\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B$

Adj.A=Transpose of cofactor of Matrix A

$Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2$

2.

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]$

$\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4$

7 0

3 years ago

Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the f

Illusion [34]

Answer:

$8\%$

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping $\frac{6}{75}=0.08$ of the total. To convert this to a percentage, multiply by 100: $0.08\implies 0.08\cdot 100=\boxed{8\%}$

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3 years ago

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