1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ronch [10]
3 years ago
12

Prove that angle W is congruent to angle Y with a two column proof.

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Statement 1: WXYZ is a kite

Reason 1: Given

Statement 2: WX = XY and WZ = YZ

Reason 2: Definition of a kite

Statement 3: XZ = XZ

Reason 3: Reflexive property

Statement 4: Triangle WXZ = Triangle YXZ

Reason 4: SSS Congruence

Statement 5: Angle W = Angle Y

Reason 5: CPCTC

-------------------------------------------------------------------------

Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.

* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y

* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".

* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"

You might be interested in
cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura
liubo4ka [24]

Answer:

Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A rectangular parking lot is enclosed by concrete barriers 5 feet long. There are 160 barriers in total. Determine the maximum a
LuckyWell [14K]
Well you just multiply 5 by 160 and get 800ft

6 0
3 years ago
3.
natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.

b) In matrix form this is

\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)

c) The determinant is

\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16

d) Find three determinants:

\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608

\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368

\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304

So,

x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19

e) If the store doubled all prices and inventory, then the new matrix is

\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)

7 0
3 years ago
What is this answer plz help
scZoUnD [109]

Answer:

y=-3/4

i think

6 0
3 years ago
Make a table with integer values of x from 1 to 4
Jet001 [13]
So we see our equation, clear:
y=8^x
Let's just plug in values of x from 1-4.
y= 8^1=8; So, it would be (1,8).
y= 8^2=64; So, it would be (2, 64).
y = 8^3= 512; So, it would be (3,512).
y= 8^4 = 4096; So, it would be (4, 4096).
8 0
3 years ago
Other questions:
  • How do you simplify this equation
    15·1 answer
  • How to write an equation of a horizontal line through a point?
    5·1 answer
  • First answer gets a thanks
    5·2 answers
  • Please help<br> Me with this
    8·1 answer
  • Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboa
    14·2 answers
  • In the accompanying diagram of AABC, side AB is
    14·1 answer
  • A factory robot recently examined some bulbs, of which 2 were flawed and 18 were not. If 30 more bulbs are examined, predict how
    8·1 answer
  • If a tree in a 1 in: 2 ft scale drawing is 10 intall, how tall is the actual tree? a. 40 ft b. 20 ftc. 12 ft d. 5 ft
    13·1 answer
  • William says that 15years from now his age will be 3 times his age 5 years ago if x represents williams present age complete the
    10·1 answer
  • Asdasdasd
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!