Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
Answer:
f(4) = 0
Step-by-step explanation:
f(4) means what is the value of y when x = 4
Now x = 4 is on the x- axis, where y = 0, thus
f(4) = 0
Answer:
39 dimes
Explanation:
From the graph:
• Total number of nickels = 9+4+7=20
,
• Total number of dimes = 7+10+9 = 26
The ratio of total nickels to total dimes = 20:26
If the total number of nickels the students donate is increased to 30, we have:

We then solve for x:

The number of dimes they should donate to keep the ratio of total nickels to total dimes the same is 39.
The answer is b hopefully I helped
The correct answer is 5/7 and 5/4.
We have given that the expression


<h3>What is the dividando and componendo?</h3>
Components and dividend is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed. It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions.
We have to determine the value of the given expression,

Similarly, for the second equation, we get,

Therefore the correct answer is 5/7 and 5/4.
To learn more about expression visit:
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