3x - y = 0 ⇒ 2(3x - y = 0 ) ⇒ 6x - 2y = 0
5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ <u>5x + 2y</u> = <u>22 </u>
11x = 22
x = 2
3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y
Answer: x=2, y=6
Answer:
58
Step-by-step explanation:
remainder 2
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:
414 9/16 m³
Step-by-step explanation:
The volume of a Rectangular prism is calculated as Length × Width × Height
From the attached diagram,we can see that
The length = 8 3/8 m
The width = 6 m
The height =8 1/4 m
Converting the mixed fraction to improper fraction in other to simplify it better
The length = 67/8 m
The height = 33/4 m
The volume of the rectangular prism =
67/8 m × 6m × 33/4m
= (13266/32)m³
= 6633/16 m³
= 414 9/16 m³
=
The cross sectional shape is a circle.