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baherus [9]
3 years ago
10

16x − 7 ≤ − 71 Find the solution set of the inequality

Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer:

x\leq -4\\

Step-by-step explanation:

Add 7 to other side making equation 16x\leq-71+7

16x\leq-64

16 goes into -64 -4 times.

Answer would give you x\leq-4

To check, you could substitute -4 into the inequality

16(-4)-7\leq-71

-71\leq-71 check

16(-10)-7\leq-71

-167\leq-71 check

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What additional information would allow you to prove the quadrilateral is a parallelogram?
slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

  • Both pairs of opposite sides are parallel
  • Both pairs of opposite sides are congruent
  • Both pairs of opposite angles are congruent
  • Diagonals bisect each other
  • One angle is supplementary to both consecutive angles (same-side interior)
  • One pair of opposite sides are congruent AND parallel.

Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

#SPJ1

7 0
2 years ago
10. The sum of three consecutive integers is 45. What are the three integers?
spayn [35]

Answer:

<h3>            14, 15, 16</h3>

Step-by-step explanation:

The consecutive integers iincrease by 1. So the middle integer of an odd number of consecutive integers is their mean. Three is an odd number of integers.

45:3 = 15   ← middle number

15 - 1 = 14   ← the smallest number

15 + 1 = 16  ← the largest number

8 0
3 years ago
Find the product.<br><br> (-5a ^2)^3·a ^5<br><br> A)-15a10<br> B)-125a11<br> C)15a6<br> D)-125a10
Ber [7]

Answer:

  B)  -125a^11

Step-by-step explanation:

(-5a^2)^3·a^5 = (-5)^3·a^6·a^5

  = (-5)^3·a^(2·3)·a^5

  = (-5)^3·a^6·a^5

  = -125·a^(6+5)

  = -125·a^11 . . . . matches choice B

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

5 0
3 years ago
Read 2 more answers
1. Evaluate the expression:<br> 4 – 3s2 + (s + t) for t = -2 and s = 5
den301095 [7]

Answer:The Answer is -23

Step-by-step explanation:

7 0
3 years ago
Need help please.
soldier1979 [14.2K]

Answer:

78.5%

Step-by-step explanation:

The area of the square is equal to diameter squared

i.e 4 in × 4 in = 16 square inches

The area of the circle is π × r²

i.e π × 2² = 12.56637061

The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100

i.e \frac{12.56637061}{16} × 100 = 78.53981631%

And is equal to 78.5% (rounded up to the nearest tenth of a percent)

8 0
3 years ago
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