[tex] \tt\blue{Pwe \: \: \: POINTS }[/tex]​

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I like two-columns, so...

Statements_______________|_____Reasons___

l||m                                                        Given

angle 1 congruent angle 7                   Given

angle 3 congruent angle 5                 corresponding                                                                            alternate angles

a||b                                                       CPCTC

I usually do proofs for triangles, not parallel lines, but I hope this helped!

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

Answer:

545256

Step-by-step explanation:

[tex] \: \: \: [/tex]

[tex] \pink{ 5.37}[/tex]

Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

Answer:

Maximum height is 64 feet

Step-by-step explanation:

For all: h= -16t²+ 32t + 48

1) AOS -> a = -16; b = 32; c = 48

x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1

2) Plug in AOS

h = -16(1)² + 32(1) + 48

h= -16 + 32 + 48

h= 16 + 48

h= 64

Max height is 64

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

The value of x for the given linear equation is -24.5.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

We have, a linear equation in one variable

[tex]\frac{4x}{7} -6=-20[/tex]

We solve the above equation in following steps

Step I : Adding 6 both the sides

[tex]\frac{4x}{7} = -20 + 6[/tex]  

⇒[tex]\frac{4x}{7} = -14[/tex]

Step II:  Multiply 7 both the sides

⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]

⇒ [tex]4x = -98[/tex]

Step III: Dividing both the sides by 4

⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]

⇒ [tex]x = -24.5[/tex]

Therefore, the value of x for the given linear equation is -24.5

Learn more about the linear equation in one variable here:

https://brainly.com/question/17139602

#SPJ2

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

Answers:

===========================================================

Work Shown:

Problem 1

u = <-3,4>

2u = 2*<-3,4>

2u = <2(-3), 2(4)>

2u = <-6,8>

Effectively, we multiplied each coordinate by 2.

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

Problem 2

g = <-1,1>

3g = 3*<-1,1>

3g = <3(-1),3(1)>

3g = <-3,3>

Same idea as problem 1, but we tripled each coordinate.

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

Problem 3

z = <-3,-3>

-4z = -4*<-3,-3>

-4z = <-4(-3),-4(-3)>

-4z = <12,12>

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

Problem 4

v = <6,8>

2v = <12,16> .... double both coordinates

u = <-3,4>

3u = <-9,12> .... triple both coordinates

2v-3u = <12,16>-<-9,12>

2v-3u = <12-(-9),16-12>

2v-3u = <12+9,16-12>

2v-3u = <21,4>

I subtracted the corresponding coordinates.

The general rule is <a,b>-<c,d> = <a-c,b-d>

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

Problem 5

y = <1,1>

6y = <6,6> .... multiply each coordinate by 6

v = <6,8>

2v = <12,16>

6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>

This time we add the corresponding coordinates after scaling up the given vectors.

The general rule is <a,b>+<c,d> = <a+c,b+d>

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

Problem 6

u = <-3,4>

v = <6,8>

3v = <18,24>

y = <1,1>

2y = <2,2>

u+3v+2y = <-3,4>+<18,24>+<2,2>

u+3v+2y = <-3+18+2,4+24+2>

u+3v+2y = <17,30>

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

Problem 7

g = <-1,1>

4g = <-4,4>

y = <1,1>

A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>

z = <-3,-3>

v = <6,8>

5v = <30,40>

B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>

A+B = <-3,5>+<-33,-43> = <-36,-38>

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

Problem 8

u = <-3,4>

v = <6,8>

2v = <12,16>

A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>

w = <8,-1>

g = <-1,1>

B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>

A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>

Answer: p800,000

Step-by-step explanation:

1/2         to wife

1/3         to eldest son, and

Rest(x)   to 5 youngest children

(1/2) + (1/3) + x = 1  [The sum of the shares will equal 1 estate]

(3/6) + (2/6) + x = 1

(5/6) + x = 1

x = (1/6); to be divided among the 5 youngest children

We find that each young child receives p60,000.  That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).

We can write:    (1/6)*(Estate) = p300,000

Estate = p1,800,000

The wife hauled in 1/2 of this, so she received p800,000.

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

Answer:  $17.92/sandwich

Step-by-step explanation:

Let S be the price of a sandwich ($/sandwich).

7S is the total cost of the sandwiches.  Add a drink for $2.50 to find the total cost, which we are told comes to $140.50

7S + $2.50 = $140.50

7S = $138

S = $19.7143

It is odd that this includes a fraction of a single penny (0.43 cents).  Something is incorrect in the data given, since this should equal a whole number.  For now, I'll round up to $19.72.  The additional 7*($0.0043) = 4 cents will be treated as a tip.

If I understand the problem correctly

The blank on the left would be 14

and the blank on the top would be 350

Answer:

Part a) The scale of the new blueprint is      

Part b) The width of the living room in the new blueprint is  

Step-by-step explanation:

we know that

The scale of the original blueprint is

and

the width of the living room on the original blueprint is 6 inches

so

Find the actual width of the living room, using proportion

Find the actual length of the living room, using proportion

Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room

simplify  

Find the width of the living room in the new blueprint, using proportion

Answer:

y = - 3x + 7

Step-by-step explanation:

( 2 , 1 )

( 5 , - 8 )

m = ( - 8 - 1 ) / ( 5 - 2 ) = - 3

y - 1 = - 3 ( x - 2 )

y = - 3x + 7

Answer:

$36,000

Step-by-step explanation:

8% of $450,000 = $36,000

Answer:

-1/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-0)/(5-0)

m=-1/5

Answer: 49/55

7/11 x 7/15 x 3

49/165 * 3

147/165

49/55

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Now, for all the machines to be repaired you will need to pay a total of $9000

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

Answer: 1040

Step-by-step explanation: 180+28=208

208 times 5 = 1040

Answer:

[tex]y=-\frac{5}{4} x-3[/tex]

Step-by-step explanation:

Use the slope formula equation to plug in values. Slope formula equation is y=mx+b. The known values are y=2, m=-5/4, x=-4. [tex]2=(-\frac{5}{4} )(-4)+b[/tex]. Multiply -5/4 times -4 to get 5. 2=5+b. Subtract 5 from each side to isolate b. b=-3.

Answer:

jijijija

Step-by-step explanation:

Answer:

  s = -52

Step-by-step explanation:

We assume you want to find the value of s.

  [tex]\dfrac{12+s}{-20}=2\\\\12+s=-40\qquad\text{multiply by -20}\\\\\boxed{s=-52}\qquad\text{subtract 12}[/tex]

Answer:

729

Step-by-step explanation:

Multiply and cross cancel

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

8*1/4=2

sarina can play 2 instruments

Answer:

2

Step-by-step explanation:

8 divided by 4 is 2

1/4 of 8 is 2

Therefore, the answer is y = 67°.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Solution:

Note that:

This means that...

56 + y + (180 - 123) = 180

Let's simplify the equation to find y.

=> 56 + y + (180 - 123) = 180

Simplify the LHS.

=> 56 + y + (57) = 180

=> 113 + y = 180

Subtract 113 both sides.

=> 113 - 113 + y = 180 - 113

=> y = 180 - 113 = 67°