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DochEvi [55]
3 years ago
5

Ben has square garden that has sides measuring 12 feet. Ben want to increase every side of his garden by x, feet in order to pla

nt morr vegetables. After Ben increases his garden, it will have a perimeter of 104. (a) Write an equation to find X. (b) solve
Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

  • (a) 104 = 4(12+x)
  • (b) x = 14

Step-by-step explanation:

(a) The new side length of Ben's garden is (12+x), since x is the amount of increase above the existing 12 ft side length.

The perimeter is the sum of the lengths of the four equal sides, so is ...

  perimeter = 4 × side length

  104 = 4(12+x)

(b) We can solve this by dividing by 4, then subtracting 12.

  26 = 12 +x . . . . . divide the above equation by 4

  14 = x . . . . . . . . . subtract 12

The solution is x = 14.

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It wants me to find the degree of FJE and FJH but these confuse me
ELEN [110]
Here, EJI + FJE = 180    [ Linear-Pair Equation ]
FJE + 135 = 180
FJE = 180 - 135
FJE = 45

Now, FJH + FJE = 180  [Linear-Pair Equation ]
FJH + 45 = 180
FJH = 180 - 45
FJH = 135

Hope this helps!
8 0
3 years ago
Find the slope of the line that passes through<br><br><br> (7,-1) and (9,0)
mafiozo [28]

Answer:

1/2 or 0.5

Step-by-step explanation:

so to find the slope of two points you use the slope formula which is rise over run, y2-y1/x2-x1. so that would be -1-0/7-9. leading to -1/-2. so the slope is 1/2 or 0.5.

5 0
3 years ago
Work out the area of the pentagon.
Elanso [62]

Answer:

Step-by-step explanation:

<em>A = 1/4√5(5+2√5)a²</em>

<em></em>

8 0
3 years ago
WHAT IS -(-2z+5y) HELP MY HOMEWORK IS DUE IN 50 MINUTES PLEASE
vampirchik [111]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{2z - 5y}}}}}

Step-by-step explanation:

\sf{ - ( - 2z + 5y)}

Distribute negative ( - ) sign through the parentheses

\sf{( - ) \times ( - 2z)  + ( - ) \times (5y)}

\dashrightarrow{ \sf{2z   + ( - 5y)}}

\dashrightarrow{ \sf{2z - 5y}}

Hope I helped!

Best regards! :D

7 0
3 years ago
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 1
xeze [42]

The test statistic z  is 2.33, the p-value corresponding to the test statistic z value is 0.0099.

<h3>What is Probability?</h3>

Probability is the measure of the likeliness of happening of an event.

The mean of the data is 15.07 centimeters

The standard deviation of the data is 0.26 centimeters.

n = 75

Significance Level ∝ = 0.01

According to the null and alternative hypothesis

Hₐ : \rm \mu ≤15  vs H₁ : \rm \mu >15

The test statistic z  is given by

\rm Z = \dfrac{(X-\mu)}{\sigma/\sqrt{n}}

Z = ( 15.07 -15)/(0.26/√75)

Z = 2.33

The p-value corresponding to z value is 0.0099

as p-value < significance level, therefore the H₁ : \rm \mu >15 is acceptable.

No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.

To know more about Probability

brainly.com/question/11234923

#SPJ2

3 0
2 years ago
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