$A B C D$ is a parallelogram. Find the value of each ratio. $A D :$ perimeter of $A B C D$

In Exercises $6-14, x=12, y=10,$ and $z=24 .$ Write each ratio in simplest form. $x$ to $y$

In Exercises $6-14, x=12, y=10,$ and $z=24 .$ Write each ratio in simplest form. $=$ to $x$

In Exercises $6-14, x=12, y=10,$ and $z=24 .$ Write each ratio in simplest form. $x+y$ to $z$

In Exercises $6-14, x=12, y=10,$ and $z=24 .$ Write each ratio in simplest form. $\frac{x}{x+z}$

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$A B C D$ is a parallelogram. Find the value of each ratio. $m \angle B : m \angle C$

$5 : 1$

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$A B C D$ is a parallelogram. Find the value of each ratio. $m \angle C : m \angle D$

$A B C D$ is a parallelogram. Find the value of each ratio. $A B : B C$

Given: $\overline{A B} \perp \overline{B C} ; \overline{B D} \perp \overline{A C}$a. If $m \angle C=22,$ find $m \angle A B D$ .b. If $m \angle C=23,$ find $m \angle A B D$ .c. Explain why $m \angle A B D$ always equals $m \angle C$ .

In quadrilateral $A B C D, \quad m \angle A=x, \quad m \angle B=2 x, \quad m \angle C=3 x$ , and$m \angle D=4 x .$ Find the value of $x$ and then state which pair of sides of $A B C D$ must be parallel.

For the following exercises, the two-dimensional vectors a and $\mathbf{b}$ are given.a. Find the measure of the angle $\theta$ between a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly.b. Is $\theta$ an acute angle?$$\mathbf{a}=\langle 2,1\rangle, \quad \mathbf{b}=\langle- 1,3\rangle$$

For the following exercises, the two-dimensional vectors a and $\mathbf{b}$ are given.a. Find the measure of the angle $\theta$ between a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly.b. Is $\theta$ an acute angle?$$\mathbf{a}=\langle 3,-1\rangle, \quad \mathbf{b}=\langle- 4,0\rangle$$

A 0.25-kg mass at the end of a spring oscillates 2.2 times per second with an amplitude of 0.15 m. Determine ($a$) the speed when it passes the equilibrium point, ($b$) the speed when it is 0.10 m from equilibrium, ($c$) the total energy of the system, and ($d$) the equation describing the motion of the mass, assuming that at $t = 0$, $x$ was a maximum.

The circuit of Fig. $27-75$ shows a capacitor, two ideal batteries, two resistors, and a switch S. Initially S has been open for a long time. If it is then closed for a long time, what is thechange in the charge on the capacitor?Assume $C=10 \mu \mathrm{F},$ $\mathscr{E}_{1}=1.0 \mathrm{V}, \mathscr{E}_{2}=3.0$$\mathrm{V}, R_{1}=0.20 \Omega,$ and $R_{2}=0.40 \Omega$

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## Recommended Questions

$A B C D$ is a parallelogram. Find the value of each ratio.

$m \angle C : m \angle D$

$A B C D$ is a parallelogram. Find the value of each ratio.

$A B : B C$

Given: $\overline{A B} \perp \overline{B C} ; \overline{B D} \perp \overline{A C}$

a. If $m \angle C=22,$ find $m \angle A B D$ .

b. If $m \angle C=23,$ find $m \angle A B D$ .

c. Explain why $m \angle A B D$ always equals $m \angle C$ .

$A B C D$ is a parallelogram. Find the value of each ratio.

$A D :$ perimeter of $A B C D$

In quadrilateral $A B C D, \quad m \angle A=x, \quad m \angle B=2 x, \quad m \angle C=3 x$ , and

$m \angle D=4 x .$ Find the value of $x$ and then state which pair of sides of $A B C D$ must be parallel.

For the following exercises, the two-dimensional vectors a and $\mathbf{b}$ are given.

a. Find the measure of the angle $\theta$ between a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly.

b. Is $\theta$ an acute angle?

$$

\mathbf{a}=\langle 2,1\rangle, \quad \mathbf{b}=\langle- 1,3\rangle

$$

For the following exercises, the two-dimensional vectors a and $\mathbf{b}$ are given.

a. Find the measure of the angle $\theta$ between a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly.

b. Is $\theta$ an acute angle?

$$

\mathbf{a}=\langle 3,-1\rangle, \quad \mathbf{b}=\langle- 4,0\rangle

$$

A 0.25-kg mass at the end of a spring oscillates 2.2 times per second with an amplitude of 0.15 m. Determine ($a$) the speed when it passes the equilibrium point, ($b$) the speed when it is 0.10 m from equilibrium, ($c$) the total energy of the system, and ($d$) the equation describing the motion of the mass, assuming that at $t = 0$, $x$ was a maximum.

The circuit of Fig. $27-75$ shows a capacitor, two ideal batteries, two resistors, and a switch S. Initially S has been open for a long time. If it is then closed for a long time, what is the

change in the charge on the capacitor?

Assume $C=10 \mu \mathrm{F},$ $\mathscr{E}_{1}=1.0 \mathrm{V}, \mathscr{E}_{2}=3.0$

$\mathrm{V}, R_{1}=0.20 \Omega,$ and $R_{2}=0.40 \Omega$