Answer:
-39
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...
a33 = 9 -1.5(33 -1) = 9 -48 = -39
The 33rd term is -39.
Answer:
15°
Step-by-step explanation:
The line in the middle of the triangle divides it into two triangles. These two triangles are equal. You can see this because the given angle (90°) is equal for both sides, and the bottom sides (23) are also equal to each other.
Since the triangles are equal, this means that the given angle of 75° also applies to the other side. The total degrees a triangle can have is 180°. Use the given angles to solve for the unknown angle.
75° + 90° + x = 180°
165° + x = 180°
x = 15°
The angle measure will be 15°.
Answer
Attached the graph
Step by step explanation
Y = -1/4z + 5
Let's form the table values
Here z is the independent variable and y is the dependent values.
Let's take z = -1, 0, 1, 2 and find the corresponding y-values
<u>z y</u>
-1 5.25
0 5
1 4.75
2 4.5
Now let's plot the points and draw the graph.
Here is the graph.
48 + 54 = 102
102 / (8+9) = 6
48 + 54 = 6 x (8+9)
6 can be written on the blank line to make the expressions equivalent.
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