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3 years ago

Which statement regarding the diagram is true?

Mathematics

1 answer:

In-s [12.5K]3 years ago

3 0

The answer is C, mWXY + mYXZ = 180 degrees. This is true because if you look at the diagram, angle WXY and angle YXZ are supplementary angles, meaning that they equal 180 degrees.

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Line 1 passes through the points (-4, -6) and (12,2). line 2 passes through the points (-6,-2) and (-2,0). Do the lines intersec

kifflom [539]

The lines dont intersect

7 0

3 years ago

Which best explains why students who can solve problems create better projects?

Aleksandr-060686 [28]

Answer:

the answer is D

hope its helpful

4 0

3 years ago

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Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 3, 9, 27

r-ruslan [8.4K]

a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number

might be confusing so here's an example

1,2,4,8,16

each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio

formula for geometric sequence is

$a_n=a_1(r)^{n-1}$

where $a_n$ is nth term

$a_1$ is first term

r is teh common ratio

n=which term

in our example

1,3, 9, 27, 81

each term is being multiplied by 3 so it is a geometric sequence and thus r=3

also first term is 1 so $a_1=1$

so the formula is $a_n=1(3)^{n-1}$ or in function notation $f(n)=1(3)^{n-1}$

7 0

3 years ago

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Delia has 3 5/8 yards of ribbon. About how many 1/4 yard-long pieces can she cut?

grin007 [14]

Answer: There are 14 long pieces she can cut.

Step-by-step explanation:

Since we have given that

Length of yards of ribbon is given by

$3\frac{5}{8}\ yards\\\\=\frac{29}{8}\ yards$

Length of yards of ribbon pieces need to be cut is given by

$\frac{1}{4}\ yards$

Number of yards is given by

$\frac{\frac{29}{8}}{\frac{1}{8}}\\\\=\frac{29}{2}\\\\=14.5\\\\=14$

Hence, there are 14 long pieces she can cut.

3 0

3 years ago

Find the common fraction equivalent to 0.12

jonny [76]

The answer is: " $\frac{4}{33}$ "  .
______________________________
Given: 0.1212121212..... repeating ; write that value as a fraction;
______________________________________________________
In other words; we are given: "0.1212121212..... repeating infinitely" ;

→ that is to say; "0.12 ... ; {the "12" decimal portion repeats infinitely} ;
_______________________________________________________
→ We write this value, as a fraction, as: "12/99" ;
__________________________________________
→Explanation:
__________________________________________

Note: "0.99999999...... repeating infinitely; = "1" .
_________________________________________
→Since:

Let us say that we have:

"x = 0.999999 ; repeating infinitely;

In order words, let us say we have: "x = 0.9.... ; the "9" decimal repeats infinitely;
_____________________________________________________
Then "10x" ; (that is: "10" multlipled by "x"; or "10*x" or "10x" ); is equal to:

"10" * (0.999999.....) = 9.99999999...... (the "9" decimal repeats infinitely);

in other words: 10x = 9.99999999....

Divide each side by "10" ;

to get "x = 0.9999999....." ; the decimal "9" repeats indefinitely...." ;

But if you have: "10x = 10" ; divide each side of the equation by "10" ;
you get: "x = 1" .
____________________
Also, if "x = 0.9999...(repeating infinitely);

then: 10x = 9.99999.
_______________________________________________
10x = 9.999999999999999......
−   x = 0.999999999999999.......
_____________________________________
9x = 9.00000000000000000000.....

→ 9x = 9 ;

Divide each side of the equation; to get;

9x /9 = 9/ 9 ; to get: x = 1 ; and we have: x = 0.9999.... ; so
x= 0.99999.... = 1 ;
__________________________________________________
So, if the numbers "12" is repeating, we divie "12" by "99" ;
that is; we divide "12" by "two 9's" ; since "12" is a "TWO-digit number"; a "two-digit number" is being repeated infinitely.
________________________________________
So; 0.12121212.....(the "12" is the decimal that repeats infinitely);

= 12/99 ; which can be simplified;

Divide each side (both the numerator AND the denominator); by "3" ;
_________________________________________
" 12/99 " = "(12÷3) / (99÷3) = 4/33 " .
_________________________________________
The answer is: $\frac{4}{33}$   .
_________________________________________

8 0

3 years ago

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