Answer:
a)
, b)
, c)
, d) 
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:


b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:


c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:


d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:


Answer:
10
Step-by-step explanation:
4+5+6=15,
4+5+7=16,
4+5+8=17,
4+5+9=18,
4+6+7=17,
4+6+8=18,
4+6+9=19,
4+7+8=19,
4+7+9=20,
4+8+9=21,
5+6+7=18,
5+6+8=19,
5+6+9=20,
5+7+8=20,
5+7+9=21,
5+8+9=22,
6+7+8=21,
6+7+9=22,
6+8+9=23,
7+8+9=24.
There are sums 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 10 different sums in total.
Answer:
b. 60
Step-by-step explanation:
We have been given a formula
, where x represents the number of small vehicles and y represents the number of larger vehicles.
To find the number of small vehicles, we will substitute
in the given equation as:






Therefore, 60 small vehicles were washed in total and option 'b' is the correct choice.
Answer:
slope is -60
y- intercept is 300
y = -60x + 300
Step-by-step explanation:
From the diagram, ΔRST, ΔRUS and ΔSUT are right triangles. This means that the corresponding legs of the three triangles are proportional, then we can say that the triangles are similar by side-angle-side similarity.
RS/RU=RU/SU
In the figure we can also notice that the acute angles of the corresponding angles are similar, then by angle-angle similarity the triangles are similar.
∠TRS~∠URS~TSU
This implies that: ΔSUT~ΔSRU~ΔRTS