Answer:
4, 5, 6
Step-by-step explanation:
An exterior angle is an angle outside of the triangle
SOLUTION
From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.
This means the probability of selecting t and r.
That is
There are 12 letters (total outcomes). And there are 2r and 2t.
So probability becomes
Hence the answer is
Answer:
104 degrees
Step-by-step explanation:
First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.
Next we need to find GDC
Angles in a triangle add up to 180 degrees therefore...
Angle GDC + DCG + DGC = 180
Plug in the values we found into the equation
Angle GDC + 37 + 90 = 180
Angle GDC + 127 = 180
Angle GDC = 53
Therefore Angle ADC = 53 + 51 = 104 degrees
Since ABCD is a parallelogram, then opposite angles are equal therefore...
Angle B = 104 degrees
Answer:
The approximated length of EF is 2.2 units ⇒ A
Step-by-step explanation:
<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>
In the given figure
∵ The triangle DFE has a right angle F
∵ The opposite side to angle D is EF
∵ The adjacent side to angle D is DF
→ By using the tangent ratio above
∴ tan(∠D) = 
∵ DF = 6 units
∵ m∠D = 20°
→ Substitute then in the ratio above
∴ tan(20°) = 
→ Multiply both sides by 6
∴ 6 tan(20°) = EF
∴ 2.183821406 = EF
→ Approximate it to the nearest tenth
∴ 2.2 = EF
∴ The approximated length of EF is 2.2 units
Answer:
7/44
Step-by-step explanation:
you can't simply subtract 1/11 from 1/4 because the denominators are not the same . Meaning you have to convert the denominators into a similar number. Transformers in even number and a consecutive number while 11 is an odd number and a prime number they don't really agree on anything 11 can only be divided by itself and 1 wall for can be divided by a multitude of things. Because of them not exactly agreeing on any specific category , you have to multiply them by each other . So your new fractions should look like 11 / 44 and 4 / 44 . from there you can easily subtract 4 from 11 and get 7 / 44 now normally you can reduce these types of fractions but because seven can only be divided by itself and 44 is not a factor of 7 you cannot reduce this fraction .
