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Margaret [11]
2 years ago
12

Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement. (ASAP PLS HELP!! no

spam pls)
A)
QRST ∼ EFGH

B)
QRST ∼ FEHG

C)
Impossible to determine.

D)
The quadrilaterals are not similar.

Mathematics
1 answer:
masya89 [10]2 years ago
4 0

Answer:

D) The quadrilaterals are not similar

Step-by-step explanation:

The given parameters are;

In quadrilateral EFGH, the sides are;

\overline {EF} = \overline {HG}  = 8, \overline {EH}  = \overline {FG} = 7

In quadrilateral QRST, the sides are;

\overline {QR} = \overline {ST}  = 32, \overline {QT}  = \overline {RS} = 36

The ratio of the lengths of the corresponding parallel sides on quadrilaterals EFGH and QRST are;

For the horizontal sides, we have;

\overline {EF}/\overline {QR} = 8/32 = 1/4 = 0.25

For the inclined parallel sides, we have;

\overline {EH}/\overline {QT} = 7/36 = 0.19\overline 4

Therefore, given that the ratio of the corresponding sides on quadrilaterals EFGH and QRST are not equal, we have;

The quadrilaterals (EFGH and QRST) are not similar.

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A 32​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third
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Answer:

first piece = 1.88in

second piece= 3.76in

third piece = 26.32in

32 = f + s + t

1st piece = f

2nd piece = s

3rd piece = t

what we know:

s = 2f

t = 2(7f)

32 = f + 2f + 2(7f)

32 = 3f +14f

32 = 17f

f = 1.88

now sub in:

f = 1.88

s = 3.76

t = 26.32

when you add these together you get 31.96, when you round up you get 32 which is the original piece of steel.

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3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is ta
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Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

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A thermometer has a percent error of 3%. The actual temperature is 75°F.
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each of 4 family members uses 175 minutes or fewer of their combined family cell phone plan. at the end of the month, the family
Mamont248 [21]

Answer:

 

x = ± ∜175 = ± 3.6371

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^4-(175)=0

Step by step solution :

STEP

1

:

Trying to factor as a Difference of Squares:

1.1      Factoring:  x4-175

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 175 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = x4-175

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers. The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -175.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5 ,7 ,25 ,35 ,175

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -174.00    

     -5       1        -5.00        450.00    

     -7       1        -7.00        2226.00    

     -25       1       -25.00       390450.00    

     -35       1       -35.00       1500450.00    

     -175       1       -175.00       937890450.00    

     1       1        1.00        -174.00    

     5       1        5.00        450.00    

     7       1        7.00        2226.00    

     25       1        25.00       390450.00    

     35       1        35.00       1500450.00    

     175       1       175.00       937890450.00    

Polynomial Roots Calculator found no rational roots

Equation at the end of step

1

:

 x4 - 175  = 0

STEP

2

:

Solving a Single Variable Equation:

2.1      Solve  :    x4-175 = 0

Add  175  to both sides of the equation :

                     x4 = 175

                    x  =  ∜ 175  

The equation has two real solutions  

These solutions are  x = ± ∜175 = ± 3.6371  

Two solutions were found :

x = ± ∜175 = ± 3.6371

4 0
2 years ago
Read 2 more answers
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