The value of x in the trapezoid is 11.
<h3>Properties of an isosceles trapezoid</h3>
- The base angles are the same
- The sum of opposite angles is 180° or supplementary.
- The diagonals are the same in length.
Therefore, the angle 9x and 7x + 4 are supplementary.
Hence,
9x + 7x + 4 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176 / 16
x = 11
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Answer:
Step-by-step explanation:
Step-by-step explanation:
Step 1:
Let x equal the repeating decimal you are trying to convert to a fraction.
Step 2:
Examine the repeating decimal to find the repeating digit(s).
Step 3:
Place the repeating digit(s) to the left of the decimal point.
Step 4:
Place the repeating digit(s) to the right of the decimal point.
Step 5:
Using the two equations you found in step 3 and step 4, subtract the left sides of the two equations. Then, subtract the right sides of the two equations
As you subtract, just make sure that the difference is positive for both sides.
The formula that should be entered in A3 is = A1 * B1
<h3>How to determine the formula?</h3>
The question implies that:
A3 = A1 times B1
In mathematics, the term "times" means *
So, we have:
A3 = A1 * B1
Remove the variable A3
= A1 * B1
Hence, the formula that should be entered in A3 is = A1 * B1
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Answer:
865
Step-by-step explanation: The set of possibilities are:
Subcommittee is of 4 people according to:
4 teachers 0 other member total possibilities 1
3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24
2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30
30*12 = 360
1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120
120*4 = 480
Total ways of committee 1 + 24 + 360 + 480 = 865