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never [62]
3 years ago
10

complete the paragraph proof given: <1 and <2 are supplementary and <2 and <3 are supplementary Prove: <1 is cong

ruent to <3
Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
<1 and <2 are supplementary; <2 and <3 are supplementary this is a given.

<1 and <3 are supplementary; Substitution Property
You might be interested in
What is the area of a gameboard if it is 9 1/2 inches by 11 3/4 inches
Reil [10]
You just need to multiply 9 1/2 by 11 3/4. simplify these into decimals: 9.5 and 11.75

Then do 9.5*11.75=111.625
4 0
3 years ago
GIVING BRAINLIEST! A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the out
Serjik [45]

Given:

Width of a garden = 10 feet

Length of the garden = 14 feet

Area of the garden and the walkway together = 396 square feet.

To find:

The width of the walkway.

Solution:

A cement walkway is added around the outside of the garden.

Let x be the width of the walkway.

The width of the garden with walkway = 10+2x

The length of the garden with walkway = 14+2x

Area of a rectangle is

Area=length\times width

Area of garden and the walkway together is

Area=(14+2x)\times (10+2x)

396=140+28x+20x+4x^2

396=140+48x+4x^2

396=4(35+12x+x^2)

Divide both sides by 4.

99=35+12x+x^2

0=35-99+12x+x^2

0=-64+12x+x^2

Splitting the middle term, we get

x^2+16x-4x-64=0

x(x+16)-4(x+16)=0

(x+16)(x-4)=0

Using zero product property, we get

(x+16)=0\text{ and }(x-4)=0

x=-16\text{ and }x=4

Width of walkway cannot be negative. So, x=4.

Therefore, the width of the walkways is 4 feet.

6 0
3 years ago
Read 2 more answers
Screen sizes for televisions are measured by the diagonal length from one corner to the opposite corner on the other side. After
JulsSmile [24]

Answer:

<h2>18/√3ft</h2>

Step-by-step explanation:

This is a ratio problem

Step one:

Given the ratio of length:width is <em> "3 space colon space square root of 3"</em>

mathematically it is expressed as

length:width 3:√3 or 3/√3

Step two:

3:√3 or 3/√3

if the built TV has a width of 6ft let the length be x

3/√3=x/6

cross multiply we have

x√3=3*6

x√3=18

x=18/√3ft

therefore the length will be 18/√3ft

6 0
2 years ago
Which expression is equivalent to (4x^3y^5)(3x^5y)^2 ?
barxatty [35]

(3x^5y)^2=

3^2=9

(x^5)^2=x^10

y^2=y^2

(3x^5y)^2=9x^10y^2

9x^10y^2(4x^3y^5)=

9*4=36

x^10*x^3=x^13

y^2*y^5=y^7

9x^19y^2(4x^3y^5)= 36x^13y^7

Final answer: 36x^13y^7

3 0
3 years ago
Which equation represents a line that is parallel
Y_Kistochka [10]

Step-by-step explanation:

two lines are parallel then they have the sane slope

m1=m2

m1=m2=6

L2:=Y-y1=m(X-x1)

=y-(-1)=6(x-2)

=y+1=6x-12

y=6x-13 is equation pf parallel lines.

3 0
2 years ago
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