Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

Solve for x:

So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

Solve for x:

So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
Answer:
2:1
Step-by-step explanation:
well we show ratio by the sign ' : '
ratio of iced tea to lemonade= 12:6
now we reduce it to minimum by dividing it with same number.
12 is divisible by 6
so,
the reduced form is = 2:1
therefore,
ratio of the number of students who want iced tea to the number of students who want lemonade = 2:1.
Answer:tinham em cada onibus 55 alunos
Step-by-step explanation:
9 alunos tiveram que viajar de carro ,ou seja apenas 330 alunos foram de onibus , 339-9 igual a 330 .
Depois de conseguir esse resultado divida o numero de alunos (330) por numero de onibus (6) o resultado sera 55.