Answer:
The third angle measures 80°
Step-by-step explanation:
Let us solve the question
In any triangle
∵ The sum of the measures of the interior angles of a triangle is 180°
∵ The angle of triangles are ∠1, ∠2, and ∠3
∴ m∠1 + m∠2 + m∠3 = 180°
∵ Two of the angles of the triangle are 30° and 70°
∴ m∠1 = 30°
∴ m∠2 = 70°
→ Substitute them in the rule above
∴ 30° + 70° + m∠3 = 180°
→ Add the like terms
∵ (30 + 70) + m∠3 = 180
∴ 100 + m∠3 = 180
→ Subtract 100 from both sides
∵ 100 - 100 + m∠3 = 180 - 100
∴ m∠3 = 80°
∴ The third angle measures 80°
Answer:
(3,7)
Step-by-step explanation:
Answer:
Step-by-step explanation:
answer : 56.25 miles per hour
work : 630/11.2 = 56.25
See attachment for the graph of the reflection of f(x) across the y-axis
<h3>How to reflect the function?</h3>
The function is given as:
f(x) = 1.5(0.5)^x
The rule of reflection across the y-axis is
(x, y) = (-x, y)
So, we have the following equation
f'(x) = 1.5(0.5)^-x
Rewrite the function as
g(x) = 1.5(0.5)^-x
So, we plot the graph of the function g(x)
See attachment for the graph of the reflection of f(x)
Read more about function transformation at:
brainly.com/question/17586310
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First, you need to find the height, in which it says “a height that’s half the length of the longer base side. Can you guess what that is between 7 and 5? It is 7. And you would find half of that which is 3.5. Now you know the height is 3.5. The formula to find a rectangular pyramid's volume is lwh/3 which you would do 7 * 5 * 3.5, which is equal to 122.5, and then you would divide that by 3, which is 40.833 which would round to 40.8, so there is your answer.
It is 40.8 units^3
