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riadik2000 [5.3K]
2 years ago
9

DEFG is an isosceles trapezoid

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0

Answer:

x=8

Step-by-step explanation:

Since it is an isosceles trapezium, we know that GF and DE are parallel, and that EF = GD. Since we know that co-interior angles always add up to 180 degrees, we know that:

Angle F (13x+4) + Angle E (9x) = 180

So we can write an equation for x and solve it.

13x+4+9x=180

22x + 4 = 180

22x + 4 - 4 = 180 - 4

22x = 176

22x/22 = 176/22

x = 8

Hope this helped!

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2^8+6(7-1)+4 does this equal 56
sukhopar [10]

Answer:

nope

Step-by-step explanation:

it acutally equals to 292 I am sure!

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3 years ago
I need help please and thank you
Y_Kistochka [10]

the surface area is 72 sq cm

hooe this helped

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Rewrite the equation 8x + 6x^2 -7=x^2 in standard form and identify a, b, and c.
Vladimir79 [104]

Answer:

5x^2+8x-7=0\\a=5\\b=8\\c=-7

Step-by-step explanation:

The standard form of a quadratic is ax^2+bx+c=0. You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

6 0
3 years ago
Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.
ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0

\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}

Since dx/dt=−2, we have that:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

When y = π/4, x is given by:

xcos(y) = 2.

x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}

Hence:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}

Since cot(pi/4) = 1, we have that:

\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
1 year ago
You work 3:30pm-9:00pm. you take a break from 6:00 to 6:30. How many hours do you work in a day
lina2011 [118]

Answer:

You would work 5 hours a day

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2 years ago
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