Answer:
x = 24.5
Step-by-step explanation:
There are two similar triangles. In similar triangles the sides are in proportion.
Let's name big triangle as triangle 1 and small triangle as triangle 2.
The sides of the big triangle:
27 as base and the longest side (x + 7)
The sides of the small triangle:
base = 27 - 6 = 21
longest side = x
We need to find the value of x using proportion.
27/21 = (x + 7)/ x
By cross multiplying, we get
27(x) = 21(x + 7)
27x = 21x + 147
27x - 21x = 147
6x = 147
Dividing both sides by 6, we get
x = 147/6
x = 24.5
The value of x = 24.5
Hope you will understand the concept.
Thank you.
Answer:
B
Step-by-step explanation:
let the angles be 3k,10k,2k
then 3k+10k+2k=180
15k=180
k=180/15=12
x=10k=10×12=120°
Answer:
This is a trial and error problem
we can divide 30 eyes by 2 eyes on each animals to know that there is 15 animals
15 animals now make a random guess
Find out the difference of feet. 1 dog has 4 feet - 2 chicken feet = 2 feet increase or decrease so if we need to increase by 2 we add 1 dog and if we need to subtract to then we add 1 chicken
11 dogs and 4 chickens
that is 44 feet + 8 feet = 52 feet
52 - 44 feet needed = 8 feet
8 / 2 feet decrease = 4 more chickens needed
11 - 4 (subtracting 4 dogs off)= 7
4 + 4 (replacing the dogs with chickens)= 8
7 dogs and 8 chickens
7 x 4 = 28
8 x 2 = 16
28 + 16 = 44
7 dogs and 8 chickens
Hope this helps
Step-by-step explanation:
Answer:

Step-by-step explanation:
See comment for complete question.
Given


Required
Determine the amount allotted to each
From the question, we understand that each project gets each allocation.
So, the amount of each is:



<em>Each project gets £1121</em>
Answer:
70%
Step-by-step explanation:
First find the number that were rejected
10-3 = 7
Then take that over the total
7/10
.7
70%