Answer:
Step-by-step explanation:
8x² + 2(x²-1) = 8x² + 2*x² - 2*1
= 8x² + 2x² -2
= 10x² -2
Like terms: 8x² , 2x²
Answer:
B. 56 feet
Step-by-step explanation:
One centimeter = 4 feet on the scaled drawing, perimeter of pool is 14cm. 14 x 4=56 ft.
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Are there any answer choices??
Answer:
See below
Step-by-step explanation:
It could be a positive square root l like √10 ( the number not being a perfect square).
He would have obtained this value from the application of the Pythagoras theorem. For example the length and width of the rectangle might have been 3 and 1 foot respectively, so the diagonal would have length √(3^2 + 1^2) = √10.
He could give an estimate of the length to nearest hundredth using his calculator. This would be 3.16 feet.
