Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192
expanding we get;
x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13
the numbers are 13 and 19.
hope this helps, God bless!
You can see that the base is 5 units.
The height is 3.
The area of a parallelogram is
A = B * H
A = 5 * 3
A = 15 units^2
Hope this helps!
The points which satisfy the inequalities in discuss are; Choices D (7,10) and F(8,17).
<h3>Which points omg the answer choices satisfy the system of inequalities?</h3>
It follows from the inequality; x > 5.
Also, substituting 5 for x in; y < 2(x); we have;
y < 10.
Hence, the points which satisfy the inequalities are; (8,17) and (7,10).
Read more on inequalities;
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X = 180 - 2(75)
x = 180 - 150
x = 30
answer
c. 30
Answer:
The height of the dog house = 4 feet.
Step-by-step explanation:
Given:
The shape of the dog house is like a tent.
The slant heights of the house is 5 feet.
The bottom of the house is 6 feet across.
To find the height of the dog house at its tallest point.
Solution:
On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.
Thus, we ave a right triangle, of which one leg =
and hypotenuse = 
<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

Plugging in values.


Subtracting both sides by 9.


Taking square root both sides.


Thus, the height of the dog house = 4 feet.