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4 years ago

Trapezoid ABCD is similar to rectangle EFGH. Side CD is congruent to side _____.

Mathematics

2 answers:

Fittoniya [83]4 years ago

8 0

Answer:

the correct answer is

Step-by-step explanation:

side CD is proportional to side GH.

hope this helps you!!!!!

galina1969 [7]4 years ago

4 0

Answer: c) GH

Step-by-step explanation:

Since it is stated that ₙABCD ≡ ₙEFGH, their letters are in the same position. What letters are in the same position as CD?

A B C D

E F G H

AB ≅ EF

BC ≅ FG

CD ≅ GH

AC ≅ EG

AD ≅ EH

BD ≅ FH

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On the moon, all free-fall distance functions are of the form s(t)equals=0.810.81tsquared2, where t is in seconds and s is i

Airida [17]

Answer:

Check Explanation.

Step-by-step explanation:

s(t) = 0.810t²

a) Distance fallen through, just after t = 8 s

s(8) = 0.810(8²) = 51.84 m

b) Velocity of the body, just after t = 8 s

s(t) = 0.810t²

v(t) = (ds/dt) = 1.620t

v(8) = 1.62(8) = 12.96 m/s

c) Acceleration of the body, just after t = 8 s

v(t) = 1.620t

a(t) = (dv/dt) = 1.620

a(8) = 1.620 m/s²

d) The answer obtained from the 2nd derivative of this free fall function for acceleration is a constant.

This means, the acceleration of the body is constant regardless of the time.

The body undergoing the motion described by the free fall function has a constant acceleration.

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4 years ago

Make a conjecture must the difference between two rational numbers be rational number? Explain

Scilla [17]

Answer:

Yes, the difference of two rational numbers is a rational number. The reason for this lies in the following facts: The product of two integers is an integer. The difference between two integers is an integer.

Step-by-step explanation:

6 0

4 years ago

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.

lozanna [386]

The equivalent expressions are 3(6x - 3) = 72 and 18x - 9 = 72

<h3>Equations and expressions</h3>

Given the equation below as shown;

3/5(30x - 15) = 72

Expand

3/5(30x) - 3/5(15) = 72

90x/5 - 15/5 = 72

3(6x - 3) = 72

Expand

18x - 9 = 72

Hence the equivalent expressions are 3(6x - 3) = 72 and 18x - 9 = 72

Learn more on equations here: brainly.com/question/13763238

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2 years ago

How do you determine the base when solving for x by converting to a log?

worty [1.4K]

$$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$

Solution:

Given expression:

$$(1.0125)^{4 x}=\frac{3}{2}$

To solve the expression:

$$(1.0125)^{4 x}=\frac{3}{2}$

If f(x) = g(x) then ln(f(x)) = ln(g(x)).

Using the above condition, we can write

$$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)$

Apply log rule: $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$

$$4 x \ln (1.0125)=\ln \left(\frac{3}{2}\right)$

Divide both side of the equation by $4 \ln (1.0125)$ .

$$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$

$$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$

The answer is $x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$ .

8 0

3 years ago

If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions

Viefleur [7K]

Answer:

Total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

Step-by-step explanation:

Total cars checked by Car factory = 320

Number of defected cars = 12

The number of cars which do not have defects = 320 - 12 = 308

Total Number of cars = 560

So the equation becomes

$\left[560\:\times \:308\right]\:\div \:320$

⇒ $\frac{560\times \:308}{320}$

$\mathrm{Multiply\:the\:numbers:}\:560\times \:308=172480$

⇒ $\frac{172480}{320}$

$\mathrm{Divide\:the\:numbers:}\:\frac{172480}{320}=539$

⇒ $539$

Therefore, total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

4 0

3 years ago

Trapezoid ABCD is similar to rectangle EFGH. Side CD is congruent to side _____.​

Trapezoid ABCD is similar to rectangle EFGH. Side CD is congruent to side _____.