Answer:
x = 76°
Step-by-step explanation:
At point I
to get angle JID
angle JID + 107° = 180°. (angle on a straight line)
angle JID = 180° - 107°
angle JID = 73°
for Triangle JiD
angle DJI + 31° + 73° = 180° (Sum of angles in a triangle)
angle DJI = 180 - 104 = 76°
angle FJI = 31 + 73 =104°. ( Sum of two interior angles in a triangle is equal to one exterior angle)
Hence,
x° + 104° = 180° (angle on a straight line)
x = 76°
Answer:
3 1/5
Step-by-step explanation:
16/5 = 3 Remainder 1 --> 3 1/5.
Answer:
20 inches
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangle Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 48
Hypotenuse <em>c</em> = 52
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 48² = 52²
- Isolate <em>x</em> term: x² = 52² - 48²
- Exponents: x² = 2704 - 2304
- Subtract: x² = 400
- Isolate <em>x</em>: x = 20
Answer:
A, E
0.557 is greater than 0.49.
0.6 is more than 0.669.
So, these are the answers.
Hope it helps!