Answer:
433
Step-by-step explanation:
i hope i helped<3
Answer:
the answer is A
Step-by-step explanation:
<u>The </u><u>distance </u><u>between the two objects in 10 years will be </u><u>250 kilometers.</u>
What is Distance?
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
We are given:
The rate at which two objects drift apart in 1 year = 25 km
To calculate the distance between the two objects in 10 years, we apply unitary method:
The distance, the two objects has drifted apart in 1 year is 25 km
So, the distance, the two objects has been drifted apart in 10 years, will be = 
Therefore, the distance between the two objects in 10 years will be 250 kilometers.
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Answer:
B. Pythagorean triple
Step-by-step explanation:
To prove Pythagorean triple, we must prove that
ML² + LN² = MN²
or MN = √( ML² + LN²)
= √( 9² + 12²)
= √( 81 + 144)
= √( 225)
= 15 = value of MN given in diagram (proven)
Answer:
1. x = 54, y = 114,
missing angles => 66° and 114°
2. x = 42, y = 14,
Missing angles => 84°, 86°
3. x = 40, y = 50
Missing angles => 105°, 75°
Step-by-step explanation:
1. y° = 114° (corresponding angles are congruent)
(x + 12)° + y° = 180° (linear pair angles)
Substitute
x + 12 + 114 = 180
x + 126 = 180
Subtract 126 from each side
x = 180 - 126
x = 54
✔️Find the missing angles by plugging in the values of x and y in each case
(x + 12)° = 54 + 12 = 66°
y = 114°
2. ✔️Find x:
(2x)° + 96° = 180° (consecutive interior angles are supplementary)
Subtract 96 from each side
2x = 180 - 96
2x = 84
x = 84/2
x = 42
✔️Find y:
(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)
3y + 44 + 94 = 180
3y + 138 = 180
3y = 180 - 138
3y = 42
y = 42/3
y = 14
✔️Missing angles:
(2x)°
Plug in the value of x
= 2(42) = 84°
(3y + 44)°
Plug in the value of y
3(14) + 44 = 86°
3.
✔️Find x:
3x - 15 = 105 (corresponding angles are congruent)
3x = 105 + 15
3x = 120
x = 120/3
x = 40
✔️Find y:
(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)
Plug in the value of x to solve for y
3(40) - 15 + y + 25 = 180
120 - 15 + y + 25 = 180
Add like terms
130 + y = 180
y = 180 - 130
y = 50
✔️Missing angles:
(3x - 15)°
Plug in the value of x
3(40) - 15 = 105°
(y + 25)°
Plug in the value of y
50 + 25 = 75°
