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Volgvan
3 years ago
14

Which ordered pair makes both inequalities true for y> -2x + 3 and y ≤ x - 2

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

(2,0)

Step-by-step explanation:

Substitution, 0> -2(2) + 3 which equals, 0> -1 True

0= 2 - 2 True

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A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write
katen-ka-za [31]
24 × 5/8 = 15, you can cross multiply by doing x/24 = 5/8 And solve for x
5 0
3 years ago
In ΔLMN, \overline{LN}
Karolina [17]

Answer:

\bold{\angle NLM = 10^\circ}

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

\text{m}\angle MNO = (5x-13)^{\circ}

\text{m}\angle NLM = (x-4)^{\circ} and

\text{m}\angle LMN = (2x+19)^{\circ}

To find:

\text{m}\angle NLM=?

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14

Putting the value of x in \angle NLM.

\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}

5 0
3 years ago
Can someone please help me with this question? I don't know how? What is the volume of a rectangular prism with a length of 2x –
lesantik [10]
Volume is legnth times widht times height
lenght=2x-1
width=x-2
height=x+1
multiply all together
use mass distributive property
distributive=a(b+c)=ab+ac so extending that
(a+c)(c+c)=(a+b)(c)+(a+b)(d) then keep distributing so
(2x-1)(x-2)(x+1)
do each one seperately
do the first two first and put the other one (x+1) to the side for later
(2x-1)(x-2)=(2x-1)(x)+(2x-1)(-2)=(2x^2-x)+(-4x+2)=2x^2-5x+2
then do the other one
(x+1)(2x^2-5x+2)=(x)(2x^2-5x+2)+(1)(2x^2-5x+2)=(2x^3-5x^2+2x)+(2x^2-5x+2)=2x^3-3x^2-3x+2

the lasst form is 2x^3-3x^2-3x+2





3 0
3 years ago
REAAAALLLLY NEED HELP
pashok25 [27]
If you think about it, the question is asking us to find the greatest common factor, or GCF, of the two numbers, 24 and 18. 
First, find all of the factors of 24. 
The factors are: 1, 2, 3, 4, 6, 8, 12, 24 
Next, find the factors of 18.
The factors are: 1, 2, 3, 6, 9, 18 
List out all of the factors that both of the numbers have. 
The factors are: 1, 2, 3, 6
Whichever is the greatest of these numbers is the GCF. 
The GCF is 6, so the greatest number of groups he can make and still be able to win is 6. 
Hope this helps!
6 0
4 years ago
Read 2 more answers
Evaluate the following: (Your answers should have an i in them)
Yuliya22 [10]

Answer:

math error ...............

6 0
2 years ago
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