Answer: 
Step-by-step explanation:
Pythagorean theorem:
, where a and b are the legs and c is the hypotenuse.
We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.


Since we don't know what
is, we're going to isolate it by subtracting 81 on both sides

We have to square root both sides in order to find out b (or x in the problem).

When you put this on a calculator it would result in
which is the answer d in the problem.
Answer:
Option A is correct.
Step-by-step explanation:
Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.
An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.
From the figure attached , we can see an isosceles trapezoid ABCD,
AB = 8cm and CD=14cm
So we have to find the value of AE which is the height of Trapezoid in order to find area.
In ΔAED

⇒ 
∴ AE = DE =3cm

h=3cm, a=14cm, b=8cm

hence, 
Option A is correct.
Answer:
We need the groups
Step-by-step explanation:
Usando proporciones, hay que los $12,000 restantes deben ser investidos a una tasa de 11%.
<h3>¿Qué es una proporción?</h3>
Una proporción es una fracción de la cantidad total.
De las dos primeras inversiones, el ingreso es dado por:
0.08 x 15000 = $1,200.
0.09 x 22000 = $1,980
T = 1200 + 1980 = $3,180
Por la tercera inversión, busca-se un retorno de 4500 - 3180 = $1,320.
De esa forma, la tasa x es la seguiente:
12000x = 1320
x = 1320/12000
x = 0.11.
Los $12,000 restantes deben ser investidos a una tasa de 11%.
Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852