Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.
Answer:
y = 90°
Step-by-step explanation:
The left side base angle of the triangle and the angle of 110° form a straight angle and are supplementary, thus
base angle = 180° - 110° = 70°
The right base angle is also 70° , thus the triangle is isosceles
The line segment from the vertex is a perpendicular bisector, hence
y = 90°
192 don't forget to square root it
<span>Two lines are parallel if their slope is the same.
You want to write 8x + 4y = 5 in the form y = mx + b, where m represents the slope and b is the y-intercept.
We need to isolate y in the given equation. The number next to x is the slope.
8x + 4y = 5
4y = -8x + 5
y = (-8x +5)/4
y = -2x + 5/4
The slope of the line we want is -2.
Two lines are perpendicular if the slope of the first line times the
slope of the second line produces a product of negative one.
Since our slope is -2, we know that -2 times 1/2 yields -1.
The slope of the line perpendicular is 1/2.
</span>
Ultimately, you want the <em>variable</em> p on one side of the equals sign, and the <em>value</em> of p on the other.
First, get rid of the parenthesis by <em>distributing.
</em>There is an invisible -1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign.
<em>
</em>So you have: 2-4p-3 = -3p-6-2p-3
<em>
</em>Next, <em>Combine like terms.
</em>
Can you take it from there?<em>
</em>
