For a triangle 30-60-90,
If shorter leg is x, then hypotenuse is 2x.
So, if shorter leg is 4,
then hypotenuse is 2*4 = 8.
Answer is 8.
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: 
Simply plug in 8 as a and 6 as b.
Answer:
1)107
2)43
Step-by-step explanation:
Triangles interior angles add up to 180 degrees. In the first one, the first two angles are 31and 42, and if interior angles add up to 180, the equation should be 31+42+x=180 x=107.
Second one is hardes. A square means a right angle, or 90 degrees. 180-90 is 90. Next, we have the two angles x, and x+4 We know that triangles interior angles add up to 180 degrees, so x+x+4+90=180 2x+94=180 2x=86 x=43
Hope this helps :D Please mark brainliest if correct :D
The function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| is; g(x) = x + 8
<h3>How to solve transformation problems?</h3>
Transformations are used to change the position of a function from one point to another.
Now, we are given the function as;
f(x) = -3 + |x - 11|
To reflect the function above across the y-axis, we will make use of the following transformation rule: (x, y) → (-x, y)
Thus, since we are given f(x) = -3 + |x - 11|, applying the transformation rule above gives us;
f(-x) = -3 + |-1(x - 11)|
Removing the absolute sign gives us;
f(-x) = -3 + x + 11
f(-x) = x + 8
Thus, the function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| is; g(x) = x + 8
Read more about Transformations at; brainly.com/question/4289712
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