Answer:
A
Step-by-step explanation:
Answer:
x = -1.5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.2x + 1 = 1.6x + 3.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 0.2x on both sides: 1 = 1.4x + 3.1
- Subtract 3.1 on both sides: -2.1 = 1.4x
- Divide both sides by 1.4: -1.5 = x
- Rewrite: x = -1.5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
- Multiply: -0.3 + 1 = -2.4 + 3.1
- Add: 0.7 = 0.7
Answer:
75°
Step-by-step explanation:
In triangle FBG, one angle is 36. That means the other two must total 180-36=144. Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.
In triangle JDI, one angle is 39. That means the other two must total 180-39=141. Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5
We now have 4 of the interior angles. Pentagons have an interior total of 540. 540-108-108-109.5-109.5=105
x is the supplement of 105. 180-105=75
Answer:
22.5°
Step-by-step explanation:
The <em>inscribed angle theorem </em>tells us that the measure of an inscribed angle is half of the central angle swept out by the same arc. Here, the arc BD sweeps out a central angle of 45°, so the measure of angle BAD must be half that, or 45/2 = 22.5°
