Answer:
D. 23/27
Step-by-step explanation:
The good news is, they wrote out all the possible options for you.
There are 27 possibilities in all, so that's our denominator.
They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.
Then, of the remaining 18, 14 include a W somewhere in there.
9 + 14 = 23 out of 27.
We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.
Please let me know if you have questions about this.
Answer:
<u>y = w and ΔABC ~ ΔCDE</u>
Step-by-step explanation:
Given sin(y°) = cos(x°)
So, ∠y + ∠x = 90° ⇒(1)
And as shown at the graph:
ΔABC is aright triangle at B
So, ∠y + ∠z = 90° ⇒(2)
From (1) and (2)
<u>∴ ∠x = ∠z </u>
ΔCDE is aright triangle at D
So, ∠x + ∠w = 90° ⇒(3)
From (1) and (3)
<u>∴ ∠y = ∠w</u>
So, for the triangles ΔABC and ΔCDE
- ∠A = ∠C ⇒ proved by ∠y = ∠w
- ∠B = ∠D ⇒ Given ∠B and ∠D are right angles.
- ∠C = ∠E ⇒ proved by ∠x = ∠z
So, from the previous ΔABC ~ ΔCDE by AAA postulate.
So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>
Answer:
x = 20.1 degrees
Step-by-step explanation:
Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.
Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.
Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.
x= 20.1
Answer:
Step-by-step explanation:
<h3>Simplifying radicals</h3>
Step1: Prime fatorize and reduce to simplest form
Step2: Combine like radicals
Answer:
The length of each leg = 5 units
The length of the base = 4 units
Step-by-step explanation:
Isosceles Triangle is a triangle with any two sides of it in equal measure.
Perimeter of a triangle = SUM OF ALL SIDES
Now, Perimeter of the triangle = 14
Let length of each leg = a
So, the length of the other leg is also a.
And, the base of the triangle is a -1
Now, as perimeter is 14.
⇒a + a + (a -1) = 14
or, 3 a = 14 + 1
⇒ 3 a = 15, or a = 15/3 = 5
Hence, the length of each leg = 5
And the length of the base = (a -1) = (5-1) = 4 units
