Each point is moved 7 units down and 7 units right. Therefore it is translation.
Since a hexagon is translated 7 units right, x-coordinates of its points are increased by 7.
Since a hexagon is translated 7 units down, y-coordinates of its points are decreased by 7.
Answer:
4
Step-by-step explanation:
I73/16 = 4.52
If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
Answer:
-4
Step-by-step explanation:
Slope formula:
m=y2-y1/x2-x1
I will use (-1,10) and (1,2)
2-10/1-(-1)
Which is
-8/2
Divide:
-4
Thus the slope is -4
Hope this helps!
