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padilas [110]
2 years ago
9

Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.

Mathematics
1 answer:
telo118 [61]2 years ago
8 0

Step-by-step explanation:

<u>Statements / reasons:</u>

Statement 1 >> RS ≅ UT            Reason 1 >> Given

Statement 2 >> RT ≅ US           Reason 2 >> Given

Statement 3 >> TS ≅ TS            Reason 3 >> Common side

Statement 4 >> ΔRST≅ΔUTS    Reason 4 >> SSS theorem

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The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value
DIA [1.3K]
<h2>Answer</h2>

C.) 1

<h2>Explanation </h2>

Remember the rules for shifting functions:

f(x)+b shifts the function b units upward

f(x)-b shifts the function b units downward

f(x+b) shifts the function b units to the left

f(x-b) shifts the function b units to the right

Since we want tho shift f(x)=2^{x+4} 5 units to the right, we are using the rule: f(x-b) shifts the function b units to the right; in other words, we need to subtract 5 units to the input of the function:

f(x)=2^{x+4-5}

f(x)=2^{x-1}

But notice that there is already a negative sign in f(x)=2^{x-k}, so to get f(x)=2^{x-1}, k must be equal to positive 1.

7 0
2 years ago
Read 2 more answers
F(x)=square root of x shifted up 2 unita
DaniilM [7]

Answer:

  f(x) = 2+√x

Step-by-step explanation:

To shift a function up by k units, add k to the value of the function. Here, you want to shift the square root function up 2 units, so you add 2 to the square root:

  f(x) = 2+√x

6 0
3 years ago
One box of cake mix makes a maximum of 24 cupcakes. A caterer needs 300 cupcakes for an event.
krek1111 [17]
We are given the data that in each box of cupcakes the capacity is a maximum of 24. There are 300 cupcakes required. Hence the number of boxes needed is 300 cupacakes/ 24 cupcakes/ box. The answer is equals to 12. 5. Since there is no such thing as 0.5 box, the answer is rounded up to C. 13
5 0
3 years ago
The Caesar Cipher of the sentence "THIS MESSAGE IS TOP SECRET."
vagabundo [1.1K]

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

"THIS MESSAGE IS TOP SECRET."

We need to use the Caesar cipher.

As in general we always take a shift of 3 keys in Caesar cipher.

so, According to shift of 3 keys it becomes,

T→W

H→K

I→L

S→V

M→P

E→H

A→D

G→J

O→R

C→F

R→U

P→S

So, it can be written as

"THIS MESSAGE IS TOP SECRET."

WKLVP HVVDJ HLVWR SVHFU  HW.

we make a set of 5 letters in a word after Caesar cypher.

Hence, Option 'a' is correct.

8 0
3 years ago
At a model airplane​ show, Rosa can build 8 model airplanes in 3 hours. Zach can build 13 model airplanes in 5 hours.
zimovet [89]

Answer:

rosa model airplanes in 3 hours

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3 years ago
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