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2 years ago

Drag a statement or reason to each box to complete this proof.

Mathematics

2 answers:

gayaneshka [121]2 years ago

8 0

Answer:

Step-by-step explanation:

Statements Reasons

1. Quadrilateral ABCD with m∠A = (7x)° Given

m∠B = (5x)°, m∠C = (7x)° and m∠D = ( 5x)°

2. m∠A + m∠B + m∠C + m∠D = 360° The sum of the interior angle

of the quadrilateral is 360°

3. (7x)° + (5x)° + (7x)° + (5x)° = 360° Substitution property

4. 24x = 360 Combine like terms

5. x = 15 Division property of equality

yKpoI14uk [10]2 years ago

5 0

Given all four angles of a quadrilateral. Sum of all angles of a quadrilateral is equal to 360°.

So, m<A+ m<B+m<C + m <D = 360°.

7x+5x+7x+5x= 360 (Substitution property).

24x = 360 (Combine like terms).

x= 15 (Proved)

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An example of dependent events is drawing a red marble out of one jar and then drawing a

sladkih [1.3K]

Answer:

Second Option:

"green marble out of the same jar, without replacing the first marble"

Step-by-step explanation:

Two events r and s are independent if the probability that r occurs does not affect the probability that s occurs.

When choosing an object of some color b from a jar with n objects where there are x objects of the desired color b, the probability of obtaining 1 object of color b when randomly selecting an object from the jar is:

$P_1 =\frac{x}{n}$

If after taking the object it does not return it to the jar (without replacement) then, now the probability of obtaining an object of color b is:

$P_2 = \frac{x-1}{n-1}$ if the one selected in the first trial was the color b.

$P_2 = \frac{x}{n-1}$ if the one selected in the first test was not the color b

Note that now the probability P depends on the result obtained in the previous test.

This event is dependent.

However, if by take object b in the first test, and the object is returned to the jar, and then the second test is made, then

$P_1 = P_2$ .

The probability does not depend on the result of the first trial. The same happens if the objects are taken from different jars.

These would be independent events.

Finally the correct option is the second option.

5 0

2 years ago

What is -104/30 as a mixed number???

dimaraw [331]

Answer:

mixed number

a number consisting of an integer and a proper fraction.

this only has a fraction so no it isnt

a mixed number!

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

-10.23 _______ -2.3. How to solve?

nydimaria [60]

First you would turn it into long division then you would just divide from there it is pretty easy

4 0

2 years ago

PLEASE SOMEONE HELP ME

Julli [10]

Answer:

The answer is 5 times

Step-by-step explanation:

First, we need to read the change in price in 2000 and 2007, from the graph.

So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.

Now, we do the same thing we always do when comparing two values - we divide them. So:

0.71 / 0.14 = 5.07

Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:

71 / 14 = 5.07

We could also divide this in the form of fractions:

71/100 / 14/100 = 5.07

There are several ways we could divide rational numbers, but the result will always be the same.

Change in price in 2007 was around 5 times greater than the change in 2000.

I hope this helps!!;-)

6 0

2 years ago

Find the midpoint of points A(8,-7) and B(3,-1) graphically

sukhopar [10]

Answer: (5.5, -4)

Step-by-step explanation:

You can use the midpoint formula to find the midpoint of point A and point B.

$M(\frac{x_{1}+x_{2} }{2}, \frac{y_{1} + y_{2} }{2})$

x₁ = 8

x₂ = 3

y₁ = -7

y₂ = -1

$M(\frac{x_{1}+x_{2} }{2}, \frac{y_{1} + y_{2} }{2})$

$M(\frac{8+3 }{2}, \frac{-7 +-1}{2} )$

$M(\frac{8+3 }{2}, \frac{-7 -1}{2} )$

$M(\frac{11 }{2}, \frac{-8}{2} )$

$M(5.5, -4 )$

Midpoint = (5.5, -4)

Hope this helps!

3 0

2 years ago