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likoan [24]
3 years ago
14

*A triangle has sides 42, 4x, and 2x−6. What is the possible range of x?

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

<h2>The Possible range for x is : ]8 , 18[</h2>

Step-by-step explanation:

To can draw this triangle if:

4x - (2x - 6) < 42 < 4x + (2x - 6)

solve inequality 1 :

4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)

Solve inequality 2 :

42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)

from (1) and (2) we deduce that : 8 < x < 18

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Order -3, 5, 16, and -10 from least to greatest.
marissa [1.9K]

Answer:

-10, -3,  5, 16

Step-by-step explanation:

even though the negative number (10) might seem big, but its not

4 0
3 years ago
Read 2 more answers
5) Solve: 2.4p + 6 = 48​
KatRina [158]

Answer:

p = 17.5

Step-by-step explanation:

This is the answer because:

1) First, we have to isolate x

2) To isolate x, first -6 from +6 and 48

+6 - 6 = 0

48 - 6 = 42

Equation: 2.4p = 42

3) Now we are left with 2.4p = 42

4) Next, divide 2.4 from 2.4 and 42

2.4/2.4 = 0

42/2.4 = 17.5

5) We are left with

p = 17.5

Therefore, the answer is p = 17.5

Hope this helps!

3 0
3 years ago
Each leg of 45 degree -45 degree -90 degree triangle measure 12 cm what is the length of the hypotenuse
Yuri [45]
A = b = 12 cm


<span>Pythagorean theorem
</span>
a^2+b^2=c^2\\\\ c^2=a^2+a^2\\\\ c^2=2a^2\\\\ c=\sqrt{2a^2}

c=a\sqrt2 formula

c=12\sqrt{2} \ (cm) <-- Answer
3 0
4 years ago
6 yd 3 yd 8 yd equal what?​
Kamila [148]

Hello!

Answer:

17 yards

Step-by-step explanation:

Hope this helps have a wonderful day! :3

7 0
3 years ago
Read 2 more answers
using the pythagorean theorem find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is
gayaneshka [121]
L  7                 10
l     7
l        7
l           7
l              7
__________   8


(8)squared+b squared=10 squared
64+b=100         subract 64
now fiquere out what sauqered =36
wich is 6 so the last side is 6

6 0
3 years ago
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