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OleMash [197]
2 years ago
11

The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
8 0

The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35  ≤  T ≤  41

A compound inequality has two inequality statements joined together

The the temperature of the inequality is represented by T

The temperature T of a refrigerator is at least 35°F and at most 41°F

This means that the temperature falls between 35°F and 41°F

Since the temperature, T, is at most 41°F

This can be mathematically interpreted as

T  ≤  41

The temperature, T, is at least 35°F

35  ≤  T

Combining the two inequality statements 35  ≤  T and T  ≤  41, the compound statement formed is:

35  ≤  T ≤  41

The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35  ≤  T ≤  41

Learn more here: brainly.com/question/11316045

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Katyanochek1 [597]

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Option (2)

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Point A is the midpoint of side XZ and point B is the  midpoint of side YZ.

Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.

What is AX ?

2 units

4 units

6 units

8 units

From the figure attached,

XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.

By the theorem of midpoints,

AB = \frac{1}{2}\text{(XY)}

Since AB = (x + 1) and XY = (5x - 7)

(x + 1) = \frac{1}{2}(5x-7)

2x + 2 = 5x - 7

5x - 2x = 2 + 7

3x = 9

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Therefore, side AB = 3 + 1 = 4 units

Side XY = (5x - 7)

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