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sleet_krkn [62]
2 years ago
5

En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.

Mathematics
1 answer:
TiliK225 [7]2 years ago
3 0

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>

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Answer:

The average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

Step-by-step explanation:

We are given the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1

We need to find average rate of change.

The formula used to find average rate of change is : Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}

We have b=-1 and a=-11

Finding g(b) = g(-1)

g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9

Finding g(a) = g(-11)

g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29

Finding average rate of change

Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1

So, the average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

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(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

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Step-by-step explanation:

Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.

Every week $20 is getting deducted from the total amount of $200.

Step 2: (a) So we can quote it in equation as,

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Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

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