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Grace [21]
3 years ago
15

Enter a range of values for x. 85° 25 5x - 10 [ ? ] Enter

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
<h3>Answer: 2 < x < 7</h3>

==================================================

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

------------

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.

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Step-by-step explanation:

32+16=48 so then divide 16 by 2 or subtract 8

8 0
3 years ago
What is the slope intercept form of the equation 4x-8y=72
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Answer:

y = 1/2x - 9

General Formulas and Concepts:

<u>Alg I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

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Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form: 4x - 8y = 72

<u>Step 2: Find slope-intercept form</u>

  1. Subtract 4x on both sides:          -8y = 72 - 4x
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  3. Rewrite:                                         y = 1/2x - 9
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valkas [14]
The laws of sines is already indicated in the provided images.

1. sin20/3.3 = sinC/5.4
Thus, angle C is 34.03 degrees. To find angle B: 180 - 20 - 34.03 = 126 degrees. Using the law of sines,

sin20/3.3 = sin(126)/b
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From this answer, we can already tell that the answer is letter C: <span>3 units and 7.8 units.

2.  Angle J = 180 - 120 - 40 = 20 degrees. Then,

sin(20)/2 = sin(120)/k
k = 5.1 units</span>
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3 years ago
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