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Dmitrij [34]
3 years ago
14

2. Solve the following system by any method.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0
Your answers would be A
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The inequality x ≥ −10 represents the possible values for x on a number line.
Leokris [45]

Answer:

-11 and lower

Step-by-step explanation:

it's saying that -10 is as low as the number can possibly be or equal to it.

3 0
3 years ago
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Rob buys 6 tickets to the basketball game. He pays$8.50 for parking. His total cost is $40.54. What is the cost of each ticket?
Bezzdna [24]

Answer:

Step-by-step explanation:

26.04

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3 years ago
Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with
saw5 [17]

Answer:

  b, d, e, f

Step-by-step explanation:

Here are the applicable restrictions:

  • The sum of angles in a triangle is 180°, no more, no less.
  • The sum of the lengths of the two shortest sides exceeds the longest side.
  • When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.

a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)

b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)

c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)

d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)

e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)

f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)

_____

<em>Additional comment</em>

In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.

__

The congruence postulates for triangles are ...

  SSS, SAS, ASA, AAS, and HL

These essentially tell you the side and angle specifications necessary to define <em>a singular triangle</em>. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).

In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the <em>longest</em> specified side, regardless of that angle's measure. However, when the angle is opposite the <em>shortest</em> specified side, the above-described ratio restriction holds. If the sine of the angle is <em>less than</em> the ratio of sides, then <em>two possible triangles are specified</em>.

4 0
2 years ago
Which of the following illustrates the truth value of the given conditional statement?
garri49 [273]

Answer:

TT➪T

Step-by-step explanation:

8 0
3 years ago
The solid shape is made from a cylinder and a hemisphere.
Yuki888 [10]

The solid shape is made from a cylinder and a hemisphere. The radius of the cylinder is equal to the radius of the hemisphere. The cylinder has a height of 10 cm. The curved surface area of the hemisphere is 32π cm2.

Minutes

Median 170

Lower quartile 100

Upper quartile 220

3 0
2 years ago
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