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kari74 [83]
3 years ago
12

Angles X and Y are complementary. The measure of Angle Y is 55.5 degrees. What is the measure of Angle X?

Mathematics
1 answer:
mina [271]3 years ago
8 0
Two angles are called complementary when their measures add to 90 degrees
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Vertex form is f(x)=a(x-p)^2 +q. How do i determine a?
slamgirl [31]
Y1 is the simplest parabola.  Its vertex is at (0,0) and it passes thru (2,4).  This is enough info to conclude that y1 = x^2.

y4, the lower red graph, is a bit more of a challenge.  We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).

Let's try this:  assume that the general equation for a parabola is 
y-k = a(x-h)^2, where (h,k) is the vertex.  Subst. the known values,

-3-(-4) = a(2-0)^2.  Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.

The equation of parabola y4 is   y+4 = (1/4)x^2

Or you could elim. the fraction and write the eqn as 4y+16=x^2, or

4y = x^2-16, or    y = (1/4)x - 4.  Take your pick!  Hope this helps you find "a" for the other parabolas.


8 0
3 years ago
Which of the following expressions is equivalent to the expression 2(7x+3)
Ira Lisetskai [31]

Answer:

14x+6 and (7x+7)+(3+3)

Step-by-step explanation:

4 0
3 years ago
The square of a whole number is between 1500 and 1600. The number must be between—?
mel-nik [20]
It is 39^2 or 1521, not sure which one you want.
5 0
3 years ago
Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.
Pachacha [2.7K]

A ↔ B ↔ C ↔ D ↔ E ↔ F

 \frac{1}{4} AD      8      7      \frac{4}{5} AD   ???

AB + BC + CD = AD   <em>segment addition postulate</em>

\frac{1}{4} AD   +   8   +   7   = AD

\frac{1}{4} AD   +       15        = AD

AD         + 60    = 4AD

                  60    = 3AD

                  20    = AD

AB =  \frac{1}{4} AD    =  \frac{1}{4}(20)    = 5

DE =  \frac{4}{5}AD   =  \frac{4}{5}(5)    = 4

CD + DE + EF = CF   <em>segment addition postulate</em>

7   +   4   + EF  = CF

     11        + EF  = CF

Answer: 11 + EF

Note: You did not provide any info about EF.  If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.

7 0
3 years ago
Read 2 more answers
the frankiln middle school jazz band plans to have a car wash to raise $468.75 for a new sound system. in the past, they washed
svetlana [45]

Answer:

$3.75

Step-by-step explanation:

468.75/125=$3.75 per car wash

8 0
2 years ago
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