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den301095 [7]
2 years ago
8

Which of the following is a solution to this system of inequalities

Mathematics
1 answer:
Vadim26 [7]2 years ago
6 0

Answer:

Step-by-step explanation:

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ASA, SAS, AAS,

if LA stands for leg-angle then you could do that too
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3 years ago
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MARKING BRAINLIESTTT!!! PLUS 30PTS EARNED!! HELP ASAPP PLZZZ!!!!
Elza [17]

Answer:

  1.  9 < s < 17

  2.  5 < MN < 19

  3.  AD > BD

Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

  • the sum of the shortest two sides is greater than the length of the longest side
  • the length of any side lies between the sum and the difference of the other two sides

Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

  9 < s < 17

(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)

__

2. Same as (1) using different numbers.

  12 -7 < MN < 12 +7

  5 < MN < 19

__

3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

  AD > BD

7 0
3 years ago
Evaluate the geometric series. Round to the nearest hundredth. Please help me!!!
kari74 [83]

Answer:

62.34

Step-by-step explanation:

Substitute n = 0 to n = 5 into the expression and sum the terms, that is

3 [ (\frac{3}{2}) ^{0}  + (\frac{3}{2}) ^{1} + (\frac{3}{2}) ^{2} + (\frac{3}{2}) ^{3} + (\frac{3}{2}) ^{4} + (\frac{3}{2}) ^{5} ]

= 3 [ 1 + \frac{3}{2} + \frac{9}{4} + \frac{27}{8} + \frac{81}{16} + \frac{243}{32} ]

= 3( \frac{665}{32} )

= 3 × 20.781

= 62.34 ( to the nearest hundredth )

5 0
3 years ago
A salesperson at a jewelry store earns 4​% commission each week. Last​ week, Heidi sold $680 worth of jewelry. How much did make
Charra [1.4K]

Answer:

$27.2

Step-by-step explanation:

680x0.04=. 27.2

She made $27.2 last week

8 0
3 years ago
A = 1 4 π d 2 what is the formula to calculate the diameter of a circle
Anestetic [448]

Answer:

D=2\sqrt{\frac{A}{\pi}}

Step-by-step explanation:

we know that

The area of the circle is equal to

A=\frac{1}{4}\pi D^{2}

where

D is the diameter of the circle

Solve for D

That means-----> Isolate the variable D

Multiply both sides by 4 to remove the fraction

4A=\pi D^{2}

Divide both sides by π

\frac{4A}{\pi}=D^2

square root both sides

\sqrt{\frac{4A}{\pi}}=D

Rewrite

D=\sqrt{\frac{4A}{\pi}}

Simplify

D=2\sqrt{\frac{A}{\pi}}

3 0
3 years ago
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