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Elis [28]
3 years ago
6

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2

straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded. (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

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Who can help me ! <br> .... thanks
Tasya [4]
Given that there is no any option to choose I am going to help you according to the concepts of Congruent Triangles. Two triangles are congruent if and only if:

1. They have:exactly the same three sides
2. exactly the same three angles.

<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.


First Answer:

<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>

So:

If ∠BAC = ∠DEF and \overline{AC}=\overline{DE}

<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>

Second answer:

<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>
If \ \overline{AC}=\overline{DE} \ and \ \overline{BC}=\overline{DF}

<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>

4 0
3 years ago
Solve for 19= -3a -5
Vesnalui [34]

Answer:

a = -8

Step-by-step explanation:

19 = -3a - 5

Add 5 to both sides.

24 = -3a

Divide both sides by -3.

-8 = a

Switch sides.

a = -8

6 0
3 years ago
Read 2 more answers
A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

                          \frac{1}{2}  b (12)  = 54

now simplification, we get

                           6 b = 54

Dividing '6' on both sides, we get

                             b = 9

The base of the triangle = 9 inches

<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

6 0
3 years ago
A coin and a die are tossed. Calculate the probability of getting tails and a 5.
e-lub [12.9K]

Answer:

1/4

Step-by-step explanation:

2/8 a die has has 6 sides and a coin has 2 sides add them up thats 8 sides in total. Then you get 2/8 simplify it and you get 1/4. I'm bad at Math but I'm pretty sure this is right.

7 0
2 years ago
I Need Help Please And This Is Due In 1 Hour
alex41 [277]

So the first one is 1 square meter of ceiling, and it says 1 square meter of cieling is 10.75. <em>So the first one is just that, 10.75</em>

The second one says 10 square meters, so just multiply 10.75, by 10.

In which case you get <em>107.5.</em> So that's the answer.

Third one, it gives you how many ceiling tiles you have. So you divide the 100 tiles by 10.75, which gives you 9.30232558, which becomes <em>9.3</em>

I'm sure you can figure out the last one.

7 0
3 years ago
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