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zloy xaker [14]
2 years ago
7

What is the value of x

Mathematics
2 answers:
Maslowich2 years ago
8 0

Answer:

x=4.5

Step-by-step explanation:

The triangles are similar (bases are parallel so bottom angles are equal (corresponding), hence they're similar by AA)

Since they're similar, their sides are in ratio:

(x+6)/(x+x+6)=(30-9)/(30)

(x+6)(30)=(2x+6)(21)

30x+180=42x+126

12x=54

x=4.5

gayaneshka [121]2 years ago
5 0

Answer:

Assuming the other side is 30, x=12

Step-by-step explanation:

X+(X+6)=30

2x+6=30   (open the brackets by distributing the plus sign inside)

2x=24       (subtract 6 from both sides)

x=12          divide both sides by 12

This makes sense because of x is 6, and x+6 is 18, 6+18=30.

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Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6
PilotLPTM [1.2K]

Answer:

a. (6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. s=-\frac{37}{12}

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of 6s and 5s" must be expressed as:

6s-5s

- Then, "Three more than the difference of 6s and 5s " is:

(6s-5s)+3

- "The difference of  \frac{1}{12} and \frac{1}{6} " can be expressed in this form:

\frac{1}{12}-\frac{1}{6}

Therefore, "Three more than the difference of 6s and 5s is equal to the difference of  \frac{1}{12} and \frac{1}{6} " is:

(6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. Solve for "s" in order to find its value:

s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}

8 0
3 years ago
A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or  x = \frac{1440}{480}

or  x= 3

Hence x= 3 inch should be turned up on each side

3 0
3 years ago
Order these decimals from smallest to largest 1.89 -0.81 -2.6 0.24 -1.7
tiny-mole [99]

Answer:

-2.6, -1.7, -0.81, 0.24, 1.89

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
For what value of B is the trigonometric function considered an odd function? y=cosB(x-c)
vichka [17]

For what value of B is the trigonometric function considered an odd function? y=cosB(x-c)


1/4

6 0
3 years ago
An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop compute
skad [1K]

Answer:

a

  The null hypothesis is  H_o  :  p =  0.67

   The alternative hypothesis is  H_a : p \ne 0.67

b

 The sample proportion is \^ p  =  0.65

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  546  

      The number of people that use a laptop overnight is  k = 355

    The population proportion is  p =  \frac{2}{3}  =  0.67

   Generally

  The null hypothesis is  H_o  :  p =  0.67

   The alternative hypothesis is  H_a : p \ne 0.67

Gnerally the sample proportion is mathematically represented as

        \^ p  =  \frac{ k}{n}

=>     \^ p  =  \frac{ 355}{546}

=>     \^ p  =  0.65

4 0
3 years ago
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