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Nitella [24]
3 years ago
10

In the diagram, which angles are vertical angles? Select

Mathematics
2 answers:
miskamm [114]3 years ago
6 0

Answer:

Step-by-step explanation:

∠ABE and ∠CBD

∠ABC and ∠EBD

Mumz [18]3 years ago
3 0

Answer:

∠ABE and ∠CBD

∠ABC and ∠EBD

Step-by-step explanation:

we know that

<u>Vertical Angles</u> are the congruent angles opposite each other when two lines cross

so

In this problem we have that

m∠ABE=m∠CBD ----> by vertical angles

m∠ABC=m∠EBD ----> by vertical angles

therefore

The angles that are vertical angles are

∠ABE and ∠CBD

∠ABC and ∠EBD

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PLZZZ HELP<br><br>b= _____<br>O 39.5 <br>O 8<br>O 6 <br>O 5.5​
Irina-Kira [14]

Answer:

25 + 25 + b = 180 \\ 50 + b = 180 \\ b = 180 - 50 \\ b = 130 \degree

7 0
2 years ago
find the values for c and d that make the function differentiable:f(x) = 5x^2 + c if x = or &lt; than 3dx^2 - 3 if x &gt; 3
daser333 [38]

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

__

The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

  = 10(3) = 30

From the right, the limit is ...

  f'(x) = 2dx

  = 2d(3) = 6d

__

This gives us a pair of simultaneous equations in 'c' and 'd':

  45 +c = 9d -3

  6d = 30

The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

_____

<em>Additional comment</em>

With these values, the function becomes ...

  f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}

4 0
2 years ago
The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter
masha68 [24]

Answer:

<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

P=L+S+M

Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}

Using a calculator, the perimeter is 20 units centimeters.

7 0
3 years ago
Confused, and there's a test tomorrow.
-BARSIC- [3]

Answer:

  12y +16yi

Step-by-step explanation:

The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.

Here, we assume you have ...

  (5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)

The factor (4 -3i) can be factored out, so you have ...

  = ((5 +2yi) -(5 -2yi))(4 -3i)

  = (4yi)(4 -3i)

  = 16yi -12yi²

At this point, the definition of i comes into play, and you replace i² with -1.

  = 12y +16yi

5 0
2 years ago
25x2 + 20x + 4 = 75 <br> Please help.
Natalija [7]

Answer:

X= 71/70

I Hope That Helped

7 0
2 years ago
Read 2 more answers
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