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liq [111]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0
On the left we have a 30-60-90 triangle.  Find the length of side JL:

Since sin 30 deg = |JL| / ( 8sqrt(2) ),  |JL| = 8 sqrt(2)*(1/2) = 4 sqrt(2).

Now, on the right, we have a 45-45-90 triangle with hypotenuse 4 sqrt(2).

Since c^2 = a^2 + b^2 (Pyth. Theorem), 16(2) = x^2 + x^2, or 32 = 2x^2, or 16 = x^2.  Thus, x = 4 (answer)
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"The product of four and a<br> number is more than ten."
Free_Kalibri [48]

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

3 0
3 years ago
2x+3 what is x I don’t know
Triss [41]

Answer:

2x + 3 \\  or \: 2x =  - 3 \\ or \: x =   - \frac{3}{2}  \\ therefore \:  \: the \: value \: of \: x \: is \:  -  \frac{3}{2}

<h3> I hoped this helps you ☺️☺️ </h3>

Thank you ☺️☺️

8 0
3 years ago
I need help ASAP. Thank you :)
kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

<em>In parallelogram, Adjacent angles form a linear pair.</em>

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

<em>In triangle, angles opposite to equal sides are equal.</em>

m∠DFE = m∠DEF

m∠DEF = 64°

<em>sum of all the angles of a triangle = 180°</em>

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0
3 years ago
-2(x-3) &gt;-8<br> What is the answer
Vlad [161]

Answer:

x < 7

Step-by-step explanation:

First apply the -2 onto each term that it is being multiplied onto.

-2x + 6 > - 8

Now subtract six from both sides.

-2x > -14

Now divide by -2.

x < 7

<u>REMEMBER</u>

When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.

5 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
AysviL [449]

Answer:

Hypotenuse      legs

6 units       arrowBoth         5 units, 1 unit

5 units        arrowBoth        2 units, 3 units

8 units         arrowBoth       5 units, 2 units

3 units          arrowBoth       1 unit, 2 unit

Step-by-step explanation:

i got this because if u add

5+1= 6 units

2+3=5 units

5+2=8 units

1+2=3 units

6 0
3 years ago
Read 2 more answers
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