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3 years ago

What is the answer?

Mathematics

1 answer:

charle [14.2K]3 years ago

5 0

Answer:

x = 20 but see below.

Step-by-step explanation:

Remark.

This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.

A = D

3x - 10 = 2x + 10 Add 10 to both sides

3x - 10 + 10 = 2x + 10 + 10 Cancel

3x = 2x + 20 Subtract 2x from both sides

3x-2x=2x-2x + 20

x = 20

A = E

If A = E then to find x you have to add 3 angles together.

E + D + 45 = 180 Add the three angles of the triangle

E + D = 180 - 45 Subtract 45 from both sides

E + D = 135 Substitute for D and E

3x - 10 + 2x + 10 = 135 Combine like terms

5x = 135 Divide by 5

x = 135 / 5

x = 27

Answer

I'd go with the first one.

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Answer:

Y intercept= -3/2, Slope is 1/2

Step-by-step explanation:

4 0

3 years ago

Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.

Alika [10]

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

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3 years ago

Read 2 more answers

1/2 of what number is 7 times 3?

Nataly_w [17]

Answer:

Step-by-step explanation:

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3 0

3 years ago

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What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?

AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

$A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}$

Where;

s = Half the perimeter = (24 + 25 + 7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

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Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

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2 years ago

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Answer:

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2 years ago

What is the answer?​

What is the answer?