Answer:
DON'T LOOK AT THE PICTURE!!
Step-by-step explanation:
Answer:
As per ASA postulate, the two triangles are congruent.
Step-by-step explanation:
We are given two triangles:
and .
AD bisects BE.
AB || DE.
Let us have a look at two properties.
1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.
i.e. AB || ED and and are alternate angles .
2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.
Also, it is given that <em>AD bisects BE</em>.
i.e. EC = CB
1.
2. EC = CB
3.
So, we can in see that in and , two angles are equal and side between them is also equal to each other.
Hence, proved that .
Answer:
4.24 hours
Step-by-step explanation:
Irina can paint 1/9 of a room in 1 hour since she can paint a room in 9 hours. 1/9x, where x is the number of hours she works and 1/9 of a room per hour is her speed, would be her part of the calculation.
Paulo can paint 1/8 of a room in 1 hour since he can paint an entire room in 8 hours. 1/8x, where x is the number of hours he works and 1/8 of a room per hour is his speed, would be his part of the equation.
1/9x + 1/8x = 1 (Irina's portion of the room plus Paulo's portion of the room equals one complete room) would be the equation.
Look for a denominator that has the same value as the numerator. Both 9 and 8 split evenly into 72 as the initial number. We multiply the top of 1/9 by 8 to convert the fraction and get 8/72x because 9*8 = 72. We multiply the top of 1/8 by 9 to convert the fraction and get 9/72x because 8*9 = 72. We have 8/72x+9/72x=1 currently.
17/72x=1
÷ both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
∴ x=1/1 * 72/17
∴ x=72/17= 4.24
Answer:
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