Answer:
+/-11
Step-by-step explanation:
It's plus or minus eleven
Answer:
Rotation 180° counterclockwise about the origin
Answer:
the SSS similarity theorem
Step-by-step explanation:
⇒ It cannot be the SAA similarity theorem as they only share a single common angle
⇒ It cannot be the HL similarity theorem, as the sides are not equal
⇒ It must be the SSS triangles
===========================================================
<h3>What is the SSS similarity theorem?</h3>
It states that :
If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.
============================================================
Let's take the sides in proportion :
⇒ 15/5 = 3 (Hypotenuses)
⇒ 6+3/3 = 9/3 = 3 (Heights)
⇒ 8+4/4 = 12/4 = 3 (Bases)
As the sides are in proportion, the triangles are similar by the SSS similarity theorem.
Step-by-step explanation:
To divide a directed segment, we need to divide the length of the segment, along the x and the y directions separately. Then add the subdivided segment to the starting point of the directed segment (-3,6) to get the point of division.
Let the length be denoted by delta, then
delta = (7,1) - (-3,6) = (10,-5)
Multiply delta by the ratio of 3 / (3+1) = 3/4
(10,-5) * 3/4 = (7.5, -3.75)
Add the subdivided segment to the starting point:
(-3,6) + (7.5, -3.75) = (4.5, 2.25)
So the point of division is (4.5, 2.25)
Answer:
Adam raked 340 liters
Step-by-step explanation:
Bob raked more leaves than Adam
5% more means take 100 % and add 5% = 105%
105% as a decimal is 1.05
Bob = 1.05 * Adam
We know Bob raked 357
357 = 1.05 Adam
Divide by 1.05
357/1.05 =1.05/1.05 Adam
340 = Adam
