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3 years ago

2 triangles measure 55 and 20 what is the measure of the third angle

Mathematics

2 answers:

OleMash [197]3 years ago

5 0

Answer:

x = 105

Step-by-step explanation:

The angles of a triangle add to 180 degrees

Let x be the third angle

55+20 +x =180

75 +x = 180

x = 180-75

x = 105

Sergio [31]3 years ago

4 0

Answer:

third triangle=105 degrees

Step-by-step explanation:

Three angles of a triangle always add up to 180. Therefore the equation is 55+20+x=180. Solving for x we get x= 105

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

aev [14]

Answer: (B) -625

<u>Step-by-step explanation:</u>

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is $\dfrac{-100}{-500}=\dfrac{1}{5}$

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}$

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