Answer:
x=1/8y+9/8
y=<u>y=−8x+9</u>
Step-by-step explanation:
<u>Let's solve for y.</u>
<u>8x+y=9</u>
<u>Step 1: Add -8x to both sides.</u>
<u>8x+y+−8x=9+−8x</u>
<u>y=−8x+9</u>
<u />
<u>Let's solve for x.</u>
<u>8x+y=9</u>
<u>Step 1: Add -y to both sides.</u>
<u>8x+y+−y=9+−y</u>
<u>8x=−y+9</u>
<u>Step 2: Divide both sides by 8.</u>
<u>8x/8=−y+9/8</u>
<u>x=−1/8y+9/8</u>
<u />
<u />
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
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