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user100 [1]
4 years ago
5

Identify the similar triangles. then find the measure pleasee *its due today at 1:05*​

Mathematics
1 answer:
MAVERICK [17]4 years ago
6 0

Answer:

15\ units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and the corresponding angles are congruent

In this problem Triangles PQT and RQS are similar by AA Similarity Theorem (The three angles are congruent)

therefore

\frac{12}{16}=\frac{x}{20}\\ \\x=12*20/16\\ \\x=15\ units

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What is the simplified form of (- 7+ 8i) - (- 5i + 4i?)?
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Step-by-step explanation:

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3 years ago
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The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.
9966 [12]

Answer:

10 and 42

Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

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

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

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

Now manipulate one of the equations to isolate the variable

3b = s + 116

Subtract 116 from both sides

3b - 116 = s

substitute for s = 3b - 116 in

b + 2s = 62

b + 2(3b - 116) = 62

Distribute

b + 6b - 232 = 62

combine like terms

7b = 294

Divide both sides by 7

b = 42

to find s plug in b = 42 into

b + 2s = 62

42 + 2s = 62

subtract 42 from both side

2s = 20

divide both sides by 2

s = 10

7 0
3 years ago
PLEASE HELP, EXPLAIN HOW YOU GOT YOUR ANSWER AFTER PLEASE .
Veseljchak [2.6K]

Answer:

208

Step-by-step explanation:

8 0
3 years ago
PLZ HELP ME FIGURE THIS OUT
KonstantinChe [14]

Answer: k=1

Step-by-step explanation:

4 - 2k = 2

If it's easier you can also write it like

-2k + 4 =2

Solve for k by isolating it. Move four and then divide the -2.

-2k =2-4

-2k= -2

k= -2/-2

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3 0
3 years ago
Read 2 more answers
) Cars are parked in line as they come off the assembly lines. There are three models: red cars which take up 2 spaces, blue car
Svetradugi [14.3K]

Answer:

Hello your question has some missing information below is the complete question

answer :

a_{n}  = a_{n-2} + a_{n-2}  + a_{n-1}

Step-by-step explanation:

Red car and Blue car take up 2 spaces each

Green cars take up 1 space

<u>lets determine the number of ways of filling up the parking spaces</u>

i) First lets assume the last space is filled by Green car then there will be n^{th} space occupied hence there will be ( n - 1 ) spaces left to be filled in a_{n-1} ways

ii) lets assume the last space is filled by either a Red car or a Blue car then there will be n^{th} + ( n -1 )^{st}  parking space occupied hence there will be

( n - 2 ) spaces left to be filled in a_{n-2} ways

<u>Hence A closed formula for </u>a_{n}<u> </u>

a_{n}  = a_{n-2} + a_{n-2}  + a_{n-1}

where : a1 = 1 way ,  a2 = 3 ways

7 0
3 years ago
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