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4 years ago

Which statement is an example of the reflexive property of congruence?

Mathematics

2 answers:

iren2701 [21]4 years ago

5 0

Answer:

c. ΔEFG ≅ ΔEFG

Step-by-step explanation:

The reflexive property of congruence states that any geometric figure is congruent to itself. Any figure can be thought of as being a reflection of itself and that is why they are congruent. For example, the triangle EFG is congruent to itself.

marusya05 [52]4 years ago

3 0

C. EFG = EFG

The reflexive property allows you to change the order as long as they are the same.

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Alexander is working two summer jobs, making $10 per hour washing cars and $8 per hour landscaping. Last week Alexander worked t

IgorLugansk [536]

The system of equations is:

x = 2y

x*$10 + y*8 = $84

Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.

<h3>How to write the system of equations?</h3>

First, we need to define the variables:

x = number of hours washing cars.
y = number of hours landscaping.

We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:

x = 2y

We also know that he earned a total of $84, then:

x*$10 + y*8 = $84

So the system of equations is:

x = 2y

x*$10 + y*8 = $84

To solve it, we just replace the first equation into the second one:

(2y)*$10 + y*8 = $84

y*$28 = $84

y = $84/$28 = 3

So He worked 3 hours landscaping, and:

x = 2*y = 2*3 = 6

6 hours washing cars.

If you want to learn more about systems of equations:

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6 0

3 years ago

Calculate the product using partial products:

Archy [21]

A. 400*45.2=400*45+400*0.2=18000+80=18080
B. 14.9*100=15*100-0.1*100=1500-1=1490
C. 76.2*200=76*200+0.2*200=15200+4=15204

5 0

3 years ago

Slope 9/5 and this line is passing through ( 0,5)

Law Incorporation [45]

Answer:

uuuujjjjj

Step-by-step explanation:

nnnnnnnnnnnnnñbbbbbbb

4 0

3 years ago

A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

defon

Answer:

a) The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

b) $P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

c) $P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

$X \sim Unif (a= 10, b =12)$

Part a

The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

Part b

For this case we want this probability:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

Part c

For this case we want this probability:

$P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

3 0

4 years ago

IF you could pls help me, don't answer if u don't know the answer but if correct I will give brainless.

dem82 [27]

So the perimeter of the track is less than 400 meters.

so 398.12

7 0

3 years ago

Read 2 more answers