Answer:
a. x = 7
b. x = 36/5
Step-by-step explanation:
<u>Points to remember</u>
The ratio of of corresponding sides of similar triangles are equal.
<u>a). To find the value of x</u>
From the figure 1 we get two similar triangles, ΔABC and ADE
We can write,
AB/AD = AC/AE
3/6 = x/(x + 7)
3(x + 7) = 6 * x
3x + 21 = 6x
6x - 3x = 21
3x = 21
x = 21/3 = 7
<u>b). To find the value of x</u>
From the figure b we get
ΔABC ~ ΔEDF
AB/DE = BC/DF
4/5 = x/9
x = (4 * 9)/5 = 36/5
Answer:
<h3>
This means that about 21 level truck loads are necessary to remove all dirts.</h3>
Step-by-step explanation:
To get the number of level truck loads needed to remove all the dirts in the house, first we need to calculate volume of the truck and the house.
Volume of truck = Length * Breadth * Height
If the truck is 5.0 for the length 2.0 for the height 3.0 for the side base;
Volume of the truck = 5*2*3
Volume of truck = 30
For the house;
Volume of house = Length * Breadth * Height
If the house is 4.0 for the height 14.5 for the length and 11.0 for the side base, then
Volume of the house = 4*14.5*11 = 638
Number of level truck loads needed to remove all the dirts = Volume of house/Volume of the truck = 638/30 ≈ 21.3
This means that about 21 level truck loads are necessary to remove all dirts.
Answer:
Step-by-step explanation:
I'm sorry that I cannot show you my work as the equation generator does not support dividing polynomials.
Answer:
X<2
Step-by-step explanation:
1/3x of a number not less then six =1/3x multiplied by let's say< 6. I. E x1/3 x <6=x<2
Answer:
Step-by-step explanation:
<u>Below numbers are divisible by the number of students:</u>
<u>Lets find GCF of 24 and 36:</u>
- 24 = 2*2*2*3
- 36 = 2*2*3*3
- GCF(24,36) = 2*2*3 = 12
The largest possible number of students is 12
