In Exercises $24-29$ find the measure of each angle. The measures of the acute angles of a right triangle are in the ratio $5 : 7$ .

In Exercises $24-29$ find the measure of each angle. The measures of the angles of an isosceles triangle are in the ratio $3 : 3 : 2$

In Exercises $24-29$ find the measure of each angle. The measures of the angles of a hexagon are in the ratio $4 : 5 : 5 : 8 : 9 : 9 .$

The perimeter of a triangle is 132 $\mathrm{cm}$ and the lengths of its sides are in the ratio $8 : 11 : 14 .$ Find the length of each side.

The measures of the consecutive angles of a quadrilateral are in the ratio $5 : 7 : 11 : 13 .$ Find the measure of each angle. draw a quadrilateral that satisfies the requirements, and explain why two sides must be parallel.

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In Exercises $24-29$ find the measure of each angle. The measures of the angles of a triangle are in the ratio $3 : 4 : 5$

$\angle 1=45^{\circ} ; \angle 2=60^{\circ} ; \angle 3=75$

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In Exercises $24-29$ find the measure of each angle. The ratio of the measures of two supplementary angles is $11 : 4$

For the following exercises, graph the parabola, labeling the focus and the directrix.$$3 x^{2}+30 x-4 y+95=0$$

For the following exercises, graph the parabola, labeling the focus and the directrix.$$x^{2}+4 x+2 y+2=0$$

Mass Find the mass of the solid region bounded by the parabolic surfaces $z=16-2 x^{2}-2 y^{2}$ and $z=2 x^{2}+2 y^{2}$ if the density of the solid is $\delta(x, y, z)=\sqrt{x^{2}+y^{2}}$

Convert each angle in degrees to radians. Write the answer as a multiple of $\pi$.$$15^{\circ}$$

(a) If you combine two atomic orbitals on two different atoms to make a new orbital, is this a hybrid orbital or a molecular orbital? (b) If you combine two atomic orbitals on one atom to make a new orbital, is this a hybrid orbital or a molecular orbital? (c) Does the Pauli exclusion principle(Section 6.7) apply to MOs? Explain.

A wedge like the one in Exercise 22 has dimensions $a=2$ , $b=6,$ and $c=3 .$ The density is $\delta(x, y, z)=x+1 .$ Notice that if the density is constant, the center of mass will be $(0,0,0)$ .

According to an article in the Economist about the healthcare system in the United Kingdom: "A defining principle of the National Health Service is that it is "free at the point of delivery." What does "free at the point of delivery" mean? Is health care actually free to residents of the United Kingdom? Briefly explain.

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## Recommended Questions

In Exercises $24-29$ find the measure of each angle.

The measures of the acute angles of a right triangle are in the ratio $5 : 7$ .

In Exercises $24-29$ find the measure of each angle.

The measures of the angles of a hexagon are in the ratio $4 : 5 : 5 : 8 : 9 : 9 .$

In Exercises $24-29$ find the measure of each angle.

The ratio of the measures of two supplementary angles is $11 : 4$

For the following exercises, graph the parabola, labeling the focus and the directrix.

$$3 x^{2}+30 x-4 y+95=0$$

For the following exercises, graph the parabola, labeling the focus and the directrix.

$$x^{2}+4 x+2 y+2=0$$

Mass Find the mass of the solid region bounded by the parabolic surfaces $z=16-2 x^{2}-2 y^{2}$ and $z=2 x^{2}+2 y^{2}$ if the density of the solid is $\delta(x, y, z)=\sqrt{x^{2}+y^{2}}$

Convert each angle in degrees to radians. Write the answer as a multiple of $\pi$.

$$15^{\circ}$$

(a) If you combine two atomic orbitals on two different atoms to make a new orbital, is this a hybrid orbital or a molecular orbital? (b) If you combine two atomic orbitals on one atom to make a new orbital, is this a hybrid orbital or a molecular orbital? (c) Does the Pauli exclusion principle

(Section 6.7) apply to MOs? Explain.

A wedge like the one in Exercise 22 has dimensions $a=2$ , $b=6,$ and $c=3 .$ The density is $\delta(x, y, z)=x+1 .$ Notice that if the density is constant, the center of mass will be $(0,0,0)$ .

According to an article in the Economist about the healthcare system in the United Kingdom: "A defining principle of the National Health Service is that it is "free at the point of delivery." What does "free at the point of delivery" mean? Is health care actually free to residents of the United Kingdom? Briefly explain.