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4 years ago

Need help finding D=___

Mathematics

1 answer:

lesya692 [45]4 years ago

4 0

A straight line is 180 degrees and 144 is on a straight line. So, 180-144 which is 36. So, now we know 2 angles and the Degrees of a triangle is 180 degrees.
36+76+d= 180 D= 68

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Which simplified equation below represents the equation of the line, y - y1 = m(x - x1), through the point (4,4) that is perpend

Korvikt [17]

Answer:

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16

4 0

3 years ago

Every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Shani says that the t

uysha [10]

No, Shani is not right.
The 1st customer to get popcorn and apple juice is the 18th customer.
She missed that 18 is a common multiple of 6 & 9

8 0

4 years ago

What is 494 divided by 6.5

Leona [35]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125, . . . What is the sum, S, of the infinit

dezoksy [38]

Answer: $\dfrac{5}{4}$

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : $ar=\dfrac{1}{5}$

The common ratio between the terms is given by :-

$r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}$

We know that the sum of infinite geometric series is given by :-

$S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}$

Hence, the sum of the given infinite series = $\dfrac{5}{4}$

7 0

3 years ago

Helppppp meeeeeeeeeeeeeeeeee

kati45 [8]

Answer:

The length of the shortest piece is $1\textrm{ ft}$ .

The length of the medium-sized piece is $3\textrm{ ft}$ .

The length of the longest piece is $7\textrm{ ft}$ .

Step-by-step explanation:

The five-step method is GUESS method.

Given:

Length of copper wire, $L=11\textrm{ ft}$

Length of longest piece is 6 feet longer than the shortest one.

Length of the medium-sized piece is 3 times the shortest one.

Unknown:

Length of longest, medium-sized and shortest pieces of wire.

Let the length of shortest piece be $x$ feet.

Therefore, the length of longest piece is equal to $6+x$ .

And, length of the medium-sized piece is equal to $3x$ .

Evaluate:

Sum of lengths of longest, medium-sized and shortest pieces of wire is equal to the total length of wire. So,

$6+x+x+3x=11\\5x+6=11\\5x=11-6\\5x=5\\x=\frac{5}{5}=1$

Substitute and Solve:

Now, we have, $x=1$ .

Substitute 1 for $x$ and solve for each sizes of wire pieces. This gives,

Length of shortest piece = $x=1\textrm{ ft}$

Length of medium-sized piece = $3x=3(1)=3\textrm{ ft}$

Length of longest piece = $6+x=6+1=7\textrm{ ft}$

Therefore, the lengths of shortest, medium-sized, and longest pieces are $1\textrm{ ft}$ , $3\textrm{ ft}$ and $7\textrm{ ft}$ respectively.

5 0

3 years ago