Answer:
B complementary andjes
Step-by-step explanation:
their sum is 90° so they're complementary
Answer:
See below in bold.
Step-by-step explanation:
The median will be the middle number - that is the 11th.
The first quartile will be the middle value of the first ten numbers.
That is the mean of the 5th and 6th number.
Answer:
Step-by-step explanation:
After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.
ABC and DEF are congruent due to the following common properties of reflections and translations.
1. does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc.
2. preserve lenths of segments.
3. preserves angles
By the congruent theorem of SSS, the two triangles are congruent.
Answer:
24
Step-by-step explanation:
First we must recognize that this equation is a quadratic function, therefore we can use the quadratic equation and look only at the discriminate portion of that formula. However, before doing so we need to set up our equation by taking the 1 to the other side and so:
And we know that in general a quadratic function is such that:
And so our quadratic equation is:
But we only need to look at what's under the square root meaning:
This is our discriminant and since a=5, b=2 and c=-1 we have:
Answer:
5
Step-by-step explanation:
from the attached diagram, we can see that
LN = MP
3x + 1 = 8x -4
8x-3x = 1 + 4
5x = 5
x = 1
hence
LN = 3x+ 1 = 3(1) + 1 = 4
NM = 4x-1 = 4(1) - 1= 3
hence by Pythagorean formula,
diagonal NP = diagonal LM = √( 3² + 4²) = √25 = 5