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djyliett [7]
1 year ago
10

Need help asap. Consider the diagram.

Mathematics
2 answers:
FromTheMoon [43]1 year ago
7 0

Question:

<em>Given that r||s and q is a transversal, we know that  by the [________].</em>

Answer:

<u>alternate interior angles theorem</u>

fgiga [73]1 year ago
5 0

ANSWER

<em>alternate interior angles theorem</em>

EXPLANATION

According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.

From the above diagram line r is parallel to line s, therefore

\angle \: 3 \cong \angle6

and

\angle \: 4\cong \angle5

because they are alternate interior angles.

See attachment for how to spot alternate interior angles.

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A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal lin
joja [24]
Let the distance be d

Using pythagorean theorem,

d^2 = 64^2 + 100^2
d^2 = 14096
d = 118.7
d ≈ 119 


The player ran for 119 meters
8 0
2 years ago
Read 2 more answers
The album The Best of Radiohead, by Radiohead, has a list price of $13.83, and the album The King of Limbs, by Radiohead, has a
neonofarm [45]

Answer:

206 albums The King of Limbs and 34 albums The Best of Radiohead sold

Step-by-step explanation:

Let x be the no. of The album The Best of Radiohead sold .

We are given that total  sales of both albums in one week is 240 albums.

So, number of albums The King of Limbs = 240 -x

Cost of 1 album The Best of Radiohead by Radiohead is $13.83

Cost of x album The Best of Radiohead by Radiohead = 13.83x

Cost of 1 album The King of Limbs, by Radiohead= $7.83

Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)

The total cost revenue of both albums in that week is 2083.20

So,  13.83x+7.83(240-x)=2083.20

13.83x+1879.2-7.83x=2083.20

13.83x-7.83x=2083.20-1879.2

6x=204

x=\frac{204}{6}

x=34

The no. of The album The Best of Radiohead sold is 34

Number of albums The King of Limbs = 240 -x =240-34=206

Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold

6 0
1 year ago
2x+y=25. 3y=2x-13 solve by elimination
Mila [183]
What  are you trying to find X or Y ?

3 0
1 year ago
According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i
Kamila [148]

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if a_{0} and a_{n} are non zero then each rational solution x will be:

x= +/- Factors of a_{0} / Factors of  a_{n}

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

a_{0} = 35

a_{n} = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

3 0
2 years ago
Read 2 more answers
A researcher wants to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used
pantera1 [17]

Here we are given the specific equation of:

amount of eroded soil = 0.4 + 1.3 x

where x is the flow rate

 

A linear equation has a general formula in the form of:

y = m x + b

where m is the slope and b is the y intercept of the equation

 

If we compare this with our specific equation, we can see that the slope and y intercept are both positive with values:

m = 0.4

b = 1.3

Therefore this only means that as the flow rate increases, the amount of eroded soil also increases.

Hence the correlation must be positive but we cannot solve for the exact value since we need the data for x and y.


Answer: 

positive, but we cannot say what the exact value is

4 0
2 years ago
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