Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?

Answer:

There is everything in the image

The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.

A triangle MAT is an isosceles triangle and point H is the midpoint of MT.

In triangle ΔMHA and ΔTHA, we have

AH = AH (Common sides)

MH = HT (H is the midpoint of MT)

∠AMH = ∠ATH (Isosceles angles)

The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.

More about the triangle link is given below.

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Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

2=(x-1)/(y-3)

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

2(y-3)=1(x-1)

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

9514 1404 393

Answer:

  (9/10)/(2/5) = ratio of work times

  2 1/4 times as long

Step-by-step explanation:

Given:

  2/5 hours work in the morning

  9/10 hours work in the afternoon

Find:

  an equation for how many times as long was afternoon work compared to morning work

  the equation solution

Solution:

  a/m = r . . . . ratio of afternoon work to morning work

  (9/10)/(2/5) = r . . . equation

  (9/10)/(4/10) = r

  9/4 = r = 2 1/4 . . . solution

The builder worked 2 1/4 times as long in the afternoon as in the morning.

We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.

Answer:

My dog

Step-by-step explanation:

Answer:

cheese doodles is it.

Also subscribe to Random Topics trending in youtub.

Step-by-step explanation:

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer:

If you meant rs.1,200,000 then the answer would be rs.18,000

If you meant rs.120,000    then the answer would be rs.1,800

Step-by-step explanation:

Please mark B R A I N L I E S T

Answer:

-125

Step-by-step explanation:

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

Answer:

Step-by-step explanation:

O=0O

KO[K]

Answer: 7m + 5

Step-by-step explanation:

Distribute the Negative Sign:

=12m+1+−1(5m−4)

=12m+1+−1(5m)+(−1)(−4)

=12m+1+−5m+4

Combine Like Terms:

=12m+1+−5m+4

=(12m+−5m)+(1+4)

=7m+5

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

Therefore, log1/4 is -0.60

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Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

Answer:

x = a number

7 + 2x = 21

Subtract 7 from both sides

2x = 14

Divide both sides by 2

x = 7

7 is the only number that makes this sentence true.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Do the steps in reverse

Subtract 7 from 21

14

Then divide by 2

7

Hope this helps :)

Please consider Brainliest :)

Answer:

X ( - 1, 1/2)

Step-by-step explanation:

4 - 2x > 3

4 - 2x < 6

Then solve the inquality for x

X< 1/2

X > - 1

Then u get the answer x ( - 1, 1/2)

Note: [ 1/2 is 1 over 2]

Step-by-step explanation:

3<4-2x 4-2x<6

-1<-2x -2x<2

1/2>x x>-1

x<1/2

the graph shown in pic

Answer:

(-5,5)

Step-by-step explanation:

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

Answer:

Step-by-step explanation:

N sei

Answer:

The correct answer is B

Answer:

C. a +2 = a - 2

Step-by-step explanation:

a + 2 = a - 2

a + 4 = a

4 = 0

Answer:

C or the graph with continuous acceleration (straight line)

Step-by-step explanation:

It's the right answer on edguinity

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.

You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive

Step-by-step explanation:

x=9

therefore,

each sides length is 9

5x-7=3x+11

=5x-3x=7+11

=2x=18

=x=9