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Ratling [72]
3 years ago
8

Find the value of x in each triangle

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0

Answer:

90°

Step-by-step explanation:

x + 37 + 53 = 180 (ANGLE SUM PROPERTY)

x + 90 = 180

x = 180-90

x = <u>90°</u>

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Write an equation of the line through the given points<br><br><br>(0, 4), (3, 3)​
andre [41]

Hello! :)

Step-by-step explanation:

Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{3-4}{3-0}=\frac{-1}{3}=-\frac{1}{3}

<u><em>Therefore, the slope is -1/3.</em></u>

<u><em>-1/3 is the final answer.</em></u>

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you!

4 0
3 years ago
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers  ( h, i , j , m ), are there with  n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0
3 years ago
Jeffrey currently has an account balance of $1,565.00. His initial deposit on the account was $625 and it earned 4.7% simple int
hram777 [196]
A = P(1 + rt)

1565 = 625(1 + (0.047)(t))

2.504 = 1 + 0.047t

1.504 = 0.047t

t = 32

I hope this is correct! (Sorry I haven't done simple interest in a while.)
3 0
2 years ago
NO LINK ANSWERS
Temka [501]

Answer:

16 children and 11 adults

Equation 1: a + c = 27

Equation 2: 4a + c = 60

Step-by-step explanation:

3 0
2 years ago
Dante has 60 baseball cards. this is at least six more than three time as many cards as Anna. write and solve an inequality to r
Anon25 [30]
D=dante's cards number
a=anna's cards number

d=60
this (d) is at least (smallest is, aka greater than or equal to or <u>></u>) 6 more than (+6) 3 times  as many as anna (3 times a or 3a)

d<u>></u>6+3a
d=60
60<u>></u>6+3a
subtract 6 from both sides
54<u>></u>3a
divide both sides by 3
18<u>></u>a
anna has at least 18 cards
3 0
3 years ago
Read 2 more answers
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