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dedylja [7]
4 years ago
6

In ΔJKL, \text{m}\angle J = (8x+6)^{\circ}m∠J=(8x+6)

Mathematics
1 answer:
Novay_Z [31]4 years ago
8 0

Answer:

The measure of angle L is 52

Step-by-step explanation:

Mathematically, in a triangle, the sum of the angles equal 180

So in this case;

J + K + L = 180

So therefore;

8x + 6 + 2x + 2 + 4x + 4 = 180

8x + 2x + 4x + 6 + 2 + 4 = 180

14x + 12 = 180

14x = 180 -12

14x = 168

x = 168/14

x = 12

So to get the measure of angel L, we simply substitute the value x in the equation for L

From the question, L = 4x + 4

So therefore L = 4(12) + 4 = 48 + 4 = 52

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What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?
PtichkaEL [24]

The value of 'k' in the quadratic Equation    4x^{2}+kx+4=0 having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>
  • Quadratic equations are the polynomial equations of degree 2 in one variable of the type f(x) = ax^{2} + bx + c = 0 where a, b, c, ∈ R and a ≠ 0.
  • The standard form of a quadratic equation is ax^{2} + bx + c = 0 .

Here, the given equation is  4x^{2}+kx+4=0

By comparing the given equation with the standard form of the quadratic equation we get,

a = 4

b = k

c = 4

The given quadratic is having one rational solution, which means b^{2} -4ac=0

Therefore,

k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8

Therefore, the value of k is 8.

Learn more about the quadratic equation is brainly.com/question/8649555

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7 0
2 years ago
How do you find x? Please help
marusya05 [52]
Since you know that DA and DC are equal in length, you can say 2x-3=x+2, when you add 3 to both sides, it becomes 2x=x+5, subtract x from both sides, and you find that x=5
5 0
3 years ago
What is the difference between<br> 7z<br> and z to the power of 7
agasfer [191]

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

3 0
3 years ago
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Igoryamba

Answer:

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Step-by-step explanation:

bakit ano ang maitotolong

3 0
3 years ago
Compute the sum of the first 8 terms in the sequence: 100, -50, 25, -12,5. Show work!
barxatty [35]

Answer:

<h2>100, -50, 25, -12.5, 6.25, -3.125, 1.5625, -0.78125</h2>

Step-by-step explanation:

Each term is being multiplied by <u>-0.5</u>

How did I know?

Divide the second term by the first.

-50 divided by 100 = -1/2

Find the last four terms.

-12.5 x -1/2 =<em> </em><u><em>6.25</em></u>

6.25 x -1/2 = <u><em>-3.125</em></u>

-3.125 x -1/2 = <u>1.5625</u>

1.5625 x -1/2 =<em><u> -0.78125</u></em>

5 0
3 years ago
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