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°
Ok so 2cm on the blueprint is actually 7cm in real life
2:7=1:3.5
for every cm on the map, it is 3.5 times that in real life
so total legnths
17 times 3.5+18 times 3.5+18 times 3.5+19 times 3.5=
59.5+63+63+66.5=
252
answer is 252cm
Answer:
5
Step-by-step explanation:
When you have an exponent inside and a exponent outside of the parentheses, you multiple them together. Since you're trying to get it equal to d^10, just divide it by 2 and you will get 5.
41.8 because u just move one over
It's essential that you use " ^ " to indicate exponentiation if you want to communicate your ideas here accurately.
<span>x2e5x + 3xe5x − e5x = 0 should be written as
x^2e^(5x) + 3xe^(5x) - 1e^(5x) = 0.
e^(5x) can be factored out of all four terms, leaving us with
e^(5x) [x^2 + 3x - 1] = 0. e^(5x) is never zero, so no solution there.
However, we can set x^2 + 3x - 1 equal to zero and solve for x:
-3 plus or minus sqrt(3^2 - 4(1)(-1) )
x = ----------------------------------------------------
2
-3 plus or minus sqrt(13)
= ----------------------------------------
2
So the original equation has two roots.</span>
