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3 years ago

Math, Stumped me once more

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

$B.Alternate\ Exterior\ Angles$

Step-by-step explanation:

$As\ the\ exterior\ angles\ lie\ on\ the\ opposite\ sides\ of\ the\ transversal,\\that\ cuts\ two\ parallel\ lines,\ the\ set\ of\ 'Alternate\ Exterior\ Angles'\ formed\\are\ equal.$

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Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

7 0

3 years ago

Read 2 more answers

The model below represents the equation shown. What is the value of x?

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

Anna11 [10]

Answer:

y/x

Step-by-step explanation:

If x is proportional to y, then:

y = kx, where k is a constant

This can be rearranged to give:

k = y/x

As mentioned, k is a constant, therefore, the answer is y/x

7 0

2 years ago

Rewrite 1/5and1/2 as a unit rate

denpristay [2]

Answer:

1/2 = 0.5

1/5 = 0.2

Step-by-step explanation:

Hope this helps!!!

4 0

3 years ago

Which sets of ordered pairs are from linear functions? Select the TWO answers that apply. Group of answer choices {(0,1),(1,2),(

Karo-lina-s [1.5K]

Answer:

{(0,1),(1,2),(2,3),(3,4)}
{(0,4),(1,6),(3,10),(5,14)}

Step-by-step explanation:

When x-differences are the same, y-differences will be the same for a linear function. When they are not the same, they will be proportional for a linear function.

{(0,1),(1,2),(2,3),(3,4)} - x-differences are all the same; y-differences are all 1 (linear, y=x+1)

{(0,0),(1,1),(2,4),(3,9)} - x-differences are all the same; y-differences increase (this is a quadratic function: y=x^2)

{(1,1),(2,8),(3,27),(4,64)} - x-differences are all the same; y-differences increase (this is a cubic function: y=x^3)

{(0,4),(1,6),(3,10),(5,14)} - x-differences are 1, 2, 2; y-differences are 2, 4, 4, so are proportional to (double) the x-differences (linear; y=2x+4)

5 0

2 years ago