Answer:
A. 11/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
The answers are ONM, NOM, and alternate interior angles.
Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.
Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,
∠LMO≅∠NOM and ∠NMO≅∠LOM.
Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.
Answer:
7/3
Step-by-step explanation:
f(x) = 3x^2 + 2x + 1, [0, 2]
f(0)=1
f(2)=17
f'(c)=f(2)-f(0)/2-1
f'(c)=17-1/1=16
f'(c)= 6x+2
6x+2=16
6x=16-2
6x=14
x=14/6
x=7/3
Simplify by opening the bracket;
x(x^2+6y^2)
=
Answer:
70 feet
Step-by-step explanation:
This problem can be answered by using proportions based on similar triangles.
Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)
The same runs for the tree and its shadow.
Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.
We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)
