<span>Lennie used
associative law of addition.
Associative law of addition doesn’t matter how you group the given numbers to
add.
a + (b + c) = (a + b) + c
=> 19 + (11 + 37) or ( 19 + 11) + 37
=> 19 + (48) or (30) + 37
=> 67 or 67</span>
Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because
2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus
It helps you multiply by two by giving you the answer to the expression.
Example: 2•5=10/
Answer:
x = -13
Step-by-step explanation:
6(4x + 50) = 3(x+8) + 3
24x + 300 = 3x + 24 + 3
21x + 300 = 27
21x = -273
x = -13
Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.