Answer:
La medida del tercer ángulo interno es 85°.
Step-by-step explanation:
Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.
En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:
θ + 40° + 55°= 180°
Resolviendo:
θ + 95°= 180°
θ= 180° - 95°
θ=85°
<u><em>La medida del tercer ángulo interno es 85°.</em></u>
The value of the
and
are 0 and 1.153 .
<h3>
</h3><h3>
What is the limiting value of a function?</h3>
Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.
Given that,
f(x) = ![4x cos x](https://tex.z-dn.net/?f=4x%20cos%20x)
First to calculate the limit value of the given function at x=0.
= ![\lim_{x \to 0} 4x cosx](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%7D%204x%20cosx)
= 4×0×1 (∵ cos0 = 1)
= 0
Similarly,
= ![\lim_{x \to \frac{\pi }{3} } 4x cosx](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cfrac%7B%5Cpi%20%7D%7B3%7D%20%7D%204x%20cosx)
= 4×
×cos![\frac{\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B3%7D)
= 4×
×
(∵cos60° =
)
= 1.153
Hence, The value of the
and
are 0 and 1.153.
To learn more about the limit of the function from the given link:
brainly.com/question/23935467
#SPJ9
To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
Answer:
3+7i
Step-by-step explanation:
We know that the area of a rectangle is A=L*W
A of Tara's bedroom,
A(Tara)=9*8=72 square feet
A(Jody)=7*10=70 square feet
Tara's bedroom has a greater area