Answer:
Step-by-step explanation:
The top triangle is similar to the whole triangle because of AAA
Then we know that the corresponding sides are similar
9/81=(3x-20)/(3x-20+56)
1/9=(3x-20)/(3x+36)
cross multiply
9(3x-20)=3x+36
27x-180=3x+36
24x=216
x=9
Answer: 18°
Step-by-step explanation:
Complementary angles are the angles that when we add them together, the value will equal 90°.
In this question, we've to add both angles and equate them to 90°. This will be:
(2x - 4) + (5x + 17) = 90
2x - 4 + 5x + 17 = 90
Collect like terms
2x + 5x = 90 + 4 - 17
7x = 77
x = 77/7
x = 11
Angle A will be:
= (2x-4)
= 2(11) - 4
= 22 - 4
= 18°
Answer:
14:8 which can be simplified to 7:4 by dividing by 2.
So the ratio is 7:4. For every 7 dimes you'll have 4 quarters.
Option C
2100 different committees that can be formed from 5 teachers and 10 students
<em><u>Solution:</u></em>
A school committee consists of 2 teachers and 4 students
The number of different committees that can be formed from 5 teachers and 10 students is to be found
This is a combination problem
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected
<em><u>The formula to calculate combinations is:</u></em>
where n represents the number of items, and r represents the number of items being chosen at a time
Here we have to choose 2 teacher from 5 teacher and 4 student from 10 student
Hence we get,
Number of committees =
To get the factorial of a number n the given formula is used,
Therefore,
Thus 2100 different committees that can be formed from 5 teachers and 10 students