Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°
Answer:
154,897
Step-by-step explanation:
Labradors were
6997 MORE than 15 TIME Danes
So, first, what is 15 times Danes??
Given 9860 Danes, fifteen times Danes would be:
9860 * 15 = 147,900
Now, 6997 MORE to that, it would be:
147,900 + 6997 = 154,897
Thus,
There were 154,897 registered Labrador Retrievers
The coefficient is 2, the first number being multiplied by a variable will always be the coefficient.
An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential expression can be simplified as shown below.

Using the exponential property (mᵇ)ˣ = mᵇˣ,
= 
= 
Hence, the given exponential expression when simplified will result in 4^(1/8).
Learn more about Expression here:
brainly.com/question/13947055
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<span>3x+3 is my calculated answer!</span>