4x is the proportionality
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Answer:
Option A.
Step-by-step explanation:
It is given secθ = - 
then cosθ = -
Now we know the identity
sinθ = 
= 
= 
Now sin2θ = 2sinθcosθ
Now we put the values of cosine and sine in the formula
sin2θ = 2×(-)(
)
= -
Therefore, option A. is the answer.
4/29 is the probability that a student who did not complete the homework passed the test.
<u>Step-by-step explanation:</u>
It is given that,
There are 29 students in a math class.
Two types of students who passed the test and are not passed the test.
The other two types of students are who completed the assignment and did not complete the assignment.
So, the given data can be formed as a table.
- There were 22 students who passed the test.
- There were 20 students who completed the assignment.
- There were 18 students who passed the test and also completed the assignment.
Passed the test Not passed the test Total
Completed assignment 18 - 20
Not completed assignment x - -
Total 22 - 29
Now, you need to find the probability that a student who did not complete the homework passed the test.
⇒ No.of students completed assignment passed the test / Total students.
<u>To find the no.of students completed assignment passed the test :</u>
Let 'x' is the no.of students completed assignment passed the test.
⇒ 18+x = 22
⇒ x = 22 - 18
⇒ x = 4
∴ P(students completed assignment passed the test) = 4 / 29.
Answer:
-2s + 4
General Formulas and Concepts:
Step-by-step explanation:
<u>Step 1: Define expression</u>
(s + 12) + (-3s - 8)
<u>Step 2: Simplify</u>
- Combine like terms (s): -2s + 12 - 8
- Combine like terms (constants): -2s + 4
