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2 years ago

Which figures can be circumscribed by a circle? Select all that apply.

Mathematics

2 answers:

Darina [25.2K]2 years ago

7 0

Answer:

A, B, C, D

Step-by-step explanation:

They All add up to 360

White raven [17]2 years ago

6 0

Answer:

B and D

Step-by-step explanation:

figures which can be circumscribed by a circle are called cyclic quadrilaterals.

the opposite angles of a cyclic quadrilateral sum to 180°

∠ B + ∠ D = 82° + 56° = 138° ≠ 180° ← not cyclic

∠ B + ∠ D = 103° + 77° = 180° and ∠ A + ∠ C = 90° + 90° = 180° ← cyclic

∠ B + ∠ D = 112° + 90° = 202° ≠ 180° ← not cyclic

∠ B + ∠ D = 90° + 90° = 180° and ∠ A + ∠ C = 90° + 90° = 180°← cyclic

Then B and D can be circumscribed by a circle

You might be interested in

Compare and contrast the solution of |2x + 8| > 6 and the solution of |2x + 8| < 6.

svet-max [94.6K]

Answer:

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

These descriptions match choice B.

3 0

3 years ago

Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do

const2013 [10]

Answer:

$y_p=A+Bt+Ce^{2t}$

Step-by-step explanation:

Given: $y'' - 2y' = 6t + 5e^{2t}$ .

we need to find the correct form for $y_p$ if the equation is solve using undetermined coefficients.

A first order differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}=f\left ( x,y \right )$ is said to be homogeneous if $f(tx,ty)=f(x,y)$ for all t.

Consider homogeneous equation $y''-2y'=0$

Let $y=e^{rt}$ be the solution .

We get $(r^2-2r)e^{rt}=0$

Since $e^{rt}\neq 0$ , $r^2-2r=0$ .

So, we get solution as $y_c=c_1+c_2e^{2t}$

As constant term and $e^{2t}$ are already in the R.H.S of equation

$y" - 2y' = 6t + 5e^{2t}$ , we can take $y_p$ as $y_p=A+Bt+Ce^{2t}$

6 0

4 years ago

Complete 5^9/5^3=5^a

Goryan [66]

Answer:

6=a

Step-by-step explanation:

5^9/5^3=5^a

We know that b^c = b^d = b^(c-d)

5^9/5^3=5^a

5^(9-3) = 5^a

5^6 = 5^a

The bases are the same so the exponents are the same

6=a

7 0

3 years ago

Read 2 more answers

What is the surface area of the cone?

goblinko [34]

Answer: C

Step-by-step explanation:

To find the surface area of a cone, you use the formula $A=\pi r(r+\sqrt{h^2+r^2} )$ . Since we are already given the height and radius, all we have to do is plug in the values and solve.