Answer:
m∠E = 90°
m∠F = 47°
m∠G = 43°
Step-by-step explanation:
We are given 3 angles: a 90 degree angle, and 2 unknowns. We know that all angles in a triangle add up to 180 degrees. So,
Step 1: Write out the angles equation
90 + 5x - 13 + 2x + 19 = 180
Step 2: Combine like terms
96 + 7x = 180
Step 3: Isolate the x
7x = 84
Step 4: Divide both sides by 7
<em>x = 12</em>
We take this <em>x = 12 </em>and we plug it into our original unknown angles. Thus,
Step 1: ∠F
5(12) - 13
m∠F = 47°
Step 2: ∠G
2(12) + 19
m∠G = 43°
And you have your final answers!
Area:106 inches
Perimeter:44 inches
Hope this helped☺☺
Answer:
Jumping Jacks:7,<u>21,28</u>,42
Push-ups:2,6,8,<u>12</u>
The given function is:

It is required to find the graph of g(x)=1/3 f(x).
Recall that the graph of a function g(x)=a f(x) is derived as a result of vertically shrinking the graph of f(x) towards the x-axis, where 0
Notice that in this case, a=1/3, which falls in the given interval for a vertical shrink.
Start with the graph of f(x)=x², which is the parent function for a quadratic function (graph in red):
Next, vertically shrink this graph towards the x-axis by a factor of 1/3 to graph, g(x)=1/3 f(x) in blue:
Notice that the graph that matches this from the options is the graph in option D.
The correct answer is option D.