<h3>
Answer: A) z = 12</h3>
==========================================
Work Shown:
RS = RT
2z-15 = 9
2z = 9+15
2z = 24
z = 24/2
z = 12
The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.
In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.
Answer:
The surface area of Triangular base Prism = 3682 cm²
Step-by-step explanation:
Given in question as :
For a Triangular base prism ,
The base of prism (b) = 24 cm
The height of prism (l) = 29 cm
Each side length (s) = 37 cm
The height of base triangle ( h ) = 35 cm
Hence , we know that The surface area of Triangular base prism is
= (b×h) + (2×l×s) + (l×b)
= (24×35) + (2×29×37) + (29×24)
= (840) + (2146) + (696)
= 3682 cm²
Hence The surface area of Triangular base Prism is 3682 cm² Answer
For this case we must find an expression equivalent to:
So:
We expanded 
by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is:
Answer:
-0.8 and -8.2
Step-by-step explanation:
To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).
4x^2 + 24x + 13 = 2x^2 + 6x
2x^2 + 18x + 13 = 0
Then you can use the quadratic formula to solve for x. You will then come to
-18 ± sqrt(220) / 4
This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2
