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monitta
3 years ago
6

Which of the following inequalities is best represented by this graph?

Mathematics
1 answer:
Nataly [62]3 years ago
5 0
For this case, the first thing to do is find the equation of the line correctly and then see which of the inequalities represents the shaded region.
 We have then:
 5x - y = 2
 For x = 0 
 5 (0) - y = 2
 -y = 2
 y = -2
 For y = 0
 5x - 0 = 2
 5x = 2
 x = 2/5 = 0.4
 Therefore the line is:
 5x - y = 2 
 Then, we see that for the point (0, 0)
 5x - y ≥ 2
 5 (0) - (0) ≥ 2
 0 ≥ 2
 The inequality is not met, which is correct because this point is not part of the shaded region.
 Answer:
 The inequality that best is represented by the graph if: 
 5x - y ≥ 2
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Luke subtracted 128° from 180° and found that the measurement of ∠STR is 52°. How can Luke use this information to find the meas
Karolina [17]
STR is a triangle as shown in the picture. If Luke decided to subtract 128º from 180º, that's because he understood that the sum of the internal angles in a triangle is 180º, and therefore the angles RST and TRS together make 128º.
As a result, RST will be
128º - TRS
where TRS is the angle at R, as shown in the picture

6 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²
6 0
3 years ago
2 1/3 divided by 1/4
zloy xaker [14]
Answer:

28/3

Step-by-step explanation:

2 1/3 divided by 1/4

We’ll start by 2 1/3

Multiply 3 x 2 and then add 1

3 x 2 = 6 + 1 = 7

Then add the denominator back

7/3

Now divide 7/3 by 1/4 like this!

Start by multiplying 4 by 7

4 x 7 = 28

Then multiply 3 by 1

3 x 1 = 3

Final results: 28/3
7 0
3 years ago
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Daniel [21]

Answer:

For bag C

Step-by-step explanation:

Bag C has more blue marbles than red ones

5 0
3 years ago
Write two numbers that multiply to the value on top and add to the value on bottom.
egoroff_w [7]

Answer:

<h2><em><u>8</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>3</u></em></h2>

<em>8 x 3 = 24</em>

<em>8 + 3 = 11</em>

7 0
3 years ago
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