The answer for your question is 6 :)
Answer:
8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a
Step-by-step explanation:
It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.
8.5b - 3.4(13a - 3.2b) + a
= 8.5b - 3.4*13a -3.4*(-3.2b) + a
= 8.5b - 3.4*13a + 3.4*3.2b + a
= 8.5b - 44.2a + 10.88 b + a
Now, only like terms can be added to each other
= (8.5b + 10.9b) + (a - 44.2a)
= 19.4b + (-43.2a)
= 19.4b - 43.2a
1) C is because it’s exactly double the size in both width and length while the others are only gaining one or the other. For example - the a length of the squares is 5 and the length on c is 10, the base on a is 3 long, the base on c is 6. The width on a is 1 and the width on c is 2. You can put these into fractions 5/10 3/6 1/2 but they all equal 1/2. So it’s double the size of a.
B , A , C , D , it’s all of the above
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
