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fiasKO [112]
3 years ago
9

Add the following numbers. -6 + 5 =

Mathematics
2 answers:
romanna [79]3 years ago
4 0
-6 + 5
= -1.
Regards............
Serhud [2]3 years ago
3 0

Step-by-step explanation:

<h2>-6 + 5 = -1 </h2>

!!!!!!!!!!!!!!!!!!!!!!!

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The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc
vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For ΔMNO,

MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\

For ΔPQR,

PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\

So,

\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

8 0
3 years ago
Jennifer is calculating her gpa. if she uses "=(a1+a2+a3+a4)/4", this is an example of which type of entry?
ArbitrLikvidat [17]
The first thing we should know in this case is the meaning of the following acronyms:
 (GPA) = Grade Point Average.
 Effectively in a program like excel she can use:
 GPA = (a1 + a2 + a3 + a4) / 4
 Where,
 ai = represents each of the notes (i: 1,2,3,4)
 However, this is also an example of the following type of entry:
 GPA = AVERAGE (a1: a4)
 Answer:
 Entry:
 Formulas: are references of cells, names of cells or ranges, functions or operators that result in a value from other existing values.
5 0
4 years ago
Plsss help me, ASAP, Thank you
ankoles [38]

Answer:

\frac{1}{16}  \frac{10}{9}

Step-by-step explanation:

a reciprocal is a number that when multiplied by a given number gives 1 as  product.

16 * x = 1

x = 1/16

9/10 * x = 1

x = 10/9

8 0
3 years ago
Read 2 more answers
What’s the missing part
Alchen [17]
It should be 15sqrt(3)/2
7 0
3 years ago
Read 2 more answers
Levi works as a salesperson at an electronics store and sells phones and phone accessories. Levi earns a $8 commission for every
Juliette [100K]

8p + 3a = 213 and p + a = 41 are the two required equations which will give us the number of phones and accessories sold by Levi.

<u>Solution:</u>

Levi earns a $8 commission for every phone he sells and a $3 commission for every accessory he sells.

On a given day, Levi made a total of $213 in commission from selling a total of 41 phones and accessories.  

We have been asked to write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. We also have to define the variables that you use to write the system.

Let us denote the number of phones as ‘p’ and number of accessories as ‘a’

So, we can write the following equations from the given data:

Given that levi made $ 213 commission

8p + 3a = 213

And,  Levi sold 41 phones and accessories. So we can frame a equation as follows:

p + a = 41

These two equations can be used and solved to determine the number of phones and accessories sold.

5 0
4 years ago
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