Answer:
Step-by-step explanation:
<u>Fractions</u>
We are given the expression:
We'll find an equivalent expression that results when simplifying the given fraction.
The numerator is a mixed fraction, which we'll convert into an improper fraction as follows:
Now it follows:
Instead of dividing fraction, we multiply by the reciprocal of the denominator:
Simplifying:
Answer:
p=-9
Step-by-step explanation:
132=-6+3 (1-5p)
-6+3 (1-5p)=132
-6+3 (1-5p)+6=132+6
3(1-5p)=138
3(1-5p)/3=138/3
1-5p=46
1-5p-1=46-1
-5p=45
p=-9
Answer:
x = 45°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two <u>straight lines intersect</u>, they form two pairs of angles. The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).
From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
- ∠FEC = x°
- ∠DEG = 20° + 25° = 45°
Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
Answer:
4, (31 +48), (31+66)
4, 79, 97
Step-by-step explanation:
4 + (x + 48) + (x + 66) = 180 ( sum of angles in a triangle)
4 + 48 + 66 + x + x = 180
118 + 2x = 180
2x = 180 -118
2x = 62
x = 62/2 = 31
75 is your answer
Hope this helped
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