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zimovet [89]
3 years ago
14

Which of the following statements must be true based on the diagram below? Select

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

The question is an illustration of equivalent ratios and similar triangles.

<em>The true option is: </em>\frac{WU}{WV} = \frac{UR}{VS}<em />

From the diagram, we have:

WU =  UR ---- This is so because both lines are marked once

Also, we have:

WV = VS ---- This is so because both lines are marked twice

Divide both equations

\frac{WU}{WV} = \frac{UR}{VS}

Hence, the true option is: \frac{WU}{WV} = \frac{UR}{VS}

Read more about similar triangles at:

brainly.com/question/19739157

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Read 2 more answers
F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

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3 years ago
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