Answer:
Part A
This equation is given as
180° = ∠A + ∠B
180° = (2x+5)° + (4x+25)°
Part B
The value of x = 25°
Step-by-step explanation:
We are told in the question that:
Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘.
Question 1 Part A Write an equation that can be used to determine the value of x.
Two angles are called supplementary when their measures add up to 180 degrees.
This equation is given as
180° = ∠A + ∠B
180° = (2x+5)° + (4x+25)°
Part B
Solving the equation
180° = (2x+5)° + (4x+25)°
180° = 2x + 5 + 4x + 25
180° = 6x + 30
Collect like terms
180° - 30° = 6x
150° = 6x
x = 150/6
x = 25°
Enter the correct answer in the box.
Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:
- AB = 6
- BC = 8
- <ABC = 90°
- BD ⊥ AC
- <ABD =
We have to find the value for sin
So, Let's start solving....
In ∆ADB and ∆ABC,
- <A = <A (common)
- <ABC = <ADB (90°)
So, ∆ADB ~ ∆ABC (By AA similarity)
The corresponding sides will be:
We know the value of AB and to find AC, we can use Pythagoras theoram that is:
AC = √6² + 8²
AC = 10
Coming back to the relation,
In ∆ADB, we have to find sin which is given by perpendicular/base:
Plugging the values of AD and AB,
Simplifying,
And this is our final answer.....
Carry On Learning !
-2y = -5x - 8
y = (5/2)x + 4 is the answer to the question.
Answer:
Odds in against the team winning is 5 : 3
Step-by-step explanation:
Consider the provided information.
The odds against is the ratio of how many ways an outcome can't take place compared to how many ways it can take place.
Here the probability of winning its next match is 3/8.
That means total number of outcomes are 8.
Favorable outcomes are 3.
Therefore, the unfavorable outcomes are 8-3=5.
We need to find the odds against the team winning its next match.
Therefore, odds in against the team winning is 5 : 3
The probability of odds against the team winning is