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torisob [31]
2 years ago
14

The length of two sides of triangle are 4cm and 5cm. Between what two

Mathematics
1 answer:
Elanso [62]2 years ago
5 0

Answer:

1 and 9

Step-by-step explanation:

By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.

In other words, in a triangle with side lengths a, b, and c, we always have a+b > c.

Applying this to this question, the other side length, x, must satisfy the following inequalities:

4+5 > x,\\x+5 > 4,\\x+4 > 5.

Solving these inequalities gives

x < 9,\\x > -1,\\x > 1.

Combining these solutions, we have 1 < x < 9. Therefore, the length of the third side falls between 1 and 9.

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Label the terms in the expression as constant, linear, and quadratic
Masteriza [31]

Answer:

Step-by-step explanation:

4x^2 is the quadratic

3x is linear

-6 is the constant.

8 0
3 years ago
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
3 years ago
Is 1/8 greater than 3
artcher [175]
No because 3 is a whole number and 1/8 is not
8 0
3 years ago
Is 0.48 greater than 11/25
Zina [86]
0.48=48/100=12/25~~~12/25>11/25 True✔ ~~~~Have a nice day!!! ★★
8 0
3 years ago
Simplify -4(3-1)+2 <br><br>​
nikdorinn [45]

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

First we have parentheses.

-4(3 - 1) + 2

3 - 1 = 2

-4(2) + 2

We have no exponents so go on to multiplication

-4(2) + 2

-4 * 2 = -8

-8 + 2

No division so go to addition

-8 + 2

When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number  (disregarding the signs). In this case the largest number is 8 and its sign is negative. Your answer will have a negative sign.

-6

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
4 years ago
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