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Rudik [331]
3 years ago
9

Given: Isosceles TriangleDEF. The measure of vertex Angle D is four times the measure of each base angle E and F.

Mathematics
1 answer:
777dan777 [17]3 years ago
4 0

Answer:

D = 120° , E = 30° , F = 30°

Step-by-step explanation:

Let D = 4x

Let E&F = x

4x + x + × = 180°[angles in triangle is 180°]

6x = 180°

x = 180/6

x = 30°

E = 30°

F =30°

D =4(30°)

=120°

(Correct me if i am wrong)

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Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
Anna007 [38]

Answer:

1) Value of Discriminant: -32

Solution Value(s):

x = -2/3 + 2√2i/3

x = -2/3 - 2√2i/3

2) Value of Discriminant: -44

Solution Value(s):

x = -1/3 + √11i/3

x = -1/3 - √11i/3

Step-by-step explanation:

The Discriminant is the part of the Quadratic Formula that is under the square root symbol.

If the Discriminant > 0 there are 2 real solutions.

If the Discriminant = 0 there is 1 real solution.

If the Discriminant < 0 there are 2 imaginary solutions.

Equation 1:

3x² + 4x + 4 = 0

Plug this into the Quadratic Formula and solve:

x = -4 ± √-32 all over 6

Value of Discriminant: -32

Obviously, this can be simplified more, but for now, all you need is what is under the square root. Since it is less than 0, there are going to be 2 imaginary solutions.

Continue simplifying to get to the Solution Values. You will end up here:

x = -2/3 ± 2√2i/3

Your two imaginary solutions are:

x = -2/3 + 2√2i/3

x = -2/3 - 2√2i/3

*Note: 2√2i is ALL over 3, not just the √2i*

You can convert this to decimal if you need (but I don’t suggest it):

x = -0.66666 + 0.942809i

x = -0.66666 - 0.942809i

Equation 2:

3x² + 2x + 4 = 0

Plug this into the Quadratic Formula and solve:

x = -2 ± √-44 all over 6

Value of Discriminant: -44

Obviously, this can be simplified more, but for now, all you need is what is under the square root. Since it is less than 0, there are going to be 2 imaginary solutions again.

Continue simplifying to get to the Solution Values. You will end up here:

x = -1/3 ± √11i/3

Your two imaginary solutions are:

x = -1/3 + √11i/3

x = -1/3 - √11i/3

You can convert this to decimal if you need (but I don’t suggest it):

x = -0.33333 + 1.10554i

x = -0.33333 - 1.10554i

Hope this helps!

4 0
3 years ago
find sin(alpha-beta) if sin alpha =-5/13 with alpha between pi and 3pi/2; cos beta=2/5 with beta between 3pi/2 and 2pi
ludmilkaskok [199]
        sin(α) = ⁻⁵/₁₃
sin⁻¹[sin(α)] = sin⁻¹(⁻⁵/₁₃)
               α ≈ 1.1256π

          cos(β) = ²/₅
cos⁻¹[cos(β)] = cos⁻¹(²/₅)
                 β ≈ 1.6311π

sin(α - β) = sin(1.1256π - 1.6311π)
sin(α - β) = sin(-0.5055π)
sin(α - β) = -sin(0.5055π)
sin(α - β) = -sin(90.99)
sin(α - β) ≈ -0.116
8 0
3 years ago
Mikes favorite peaches are $2.50 per pound at the local farmers market. She bought 13.5 pounds. how much did she spend?
True [87]
2.50*13.5=33.75. She spent $33.75.
8 0
3 years ago
Please help ASAP 15 points
klio [65]

Answer:

B

Step-by-step explanation:

The answer is B because it tells you the letter atound triangle.

5 0
3 years ago
Read 2 more answers
What’s the identity property of addition?
Novosadov [1.4K]

Answer:

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

Step-by-step explanation:

4 0
2 years ago
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