The measurement of ∠B is 168°
Given,
In the question:
Angle A and Angle B are supplementary angles.
If mA (x - 9)° and m/B= (7x + 21)°
To find the measure of ∠B
Now, According to the question;
What are supplementary angles?
Two angles are Supplementary when they add up to 180 degrees.
Now, ∠A+∠B = 180°
So,
⇒(x - 9)˚+(7x + 21)°=180°
=> 8x +12 = 180°
=> 8x = 180° - 12
=> 8x = 168
=> x = 168/8
=> x = 21
For the measure of ∠B :
∠B = (7x + 21)
∠B = 7 x 21 + 21
∠B = 168°
Hence, The measurement of ∠B is 168°
Learn more about Supplementary angles at:
brainly.com/question/13045673
#SPJ1
The expression of X in terms of l is X = √5 l
<h3>How to calculate the diagonal of a rectangle</h3>
According to the given information:
- Length = w
- If length<u> l is twice as long </u>as the width, then l = 2w
Determine the diagonal using the Pythagoras theorem:
X² = w²+(2w)²
X² = w² + 4w²
X =√5w²
X = √5 w
Replace w with l
X = √5 l
Hence the expression of X in terms of l is X = √5 l
Learn more on diagonals here: brainly.com/question/26154016
Answer:
A subset is when all of the elements in the subset are in the actual set. A proper subset is a subset which the actual set has at least on more element than the proper subset.
Step-by-step explanation:
For example, Set A, {1,2,3} is a subset of B {1,2,3}. But Set C, {1,2} is a proper subset of B. Set {5,8} is a subset of {2,5,8}.
15:4.
Step-by-step explanation:
1 hour = 60 min
3 hours = 60 x 3 = 180 min
Ratio:
180/48
Simplest form 15/4
Therefore, the simplest form of the ratio will be 15:4
C because PEMDAS
(Please excuse my dear aunt sally)
