Answer:
Step-by-step explanation:
A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
In the given triangle ,
- Value of base = 1
- Value of hypotenuse = √2
On substituting the respective values ,
For rationalizing the denominator , multiply numerator and denominator by √2 , we have,
Simplify ,
Answer:
-8
this is the all answer but no steps
Answer:
m = 1 / 2
Step-by-step explanation:
The slope formula is as follows:
m = y2 - y1 / x2 - x1
Now we insert the numbers into the formula:
m = 9 - 6 / -3 - (-9)
m = 3 / 6
m = 1 / 2
Answer:
Madeline: y=1x+9
Issac: y=2x+1
x=8, y=17
Step-by-step explanation:
<u><em>Solving for X:</em></u>
<u>Multiply Issac's by -1:</u>
y= 1x+ 9
-y=-2x-1
<u>Combine:</u>
0=-x+8
<u>Add x to both sides:</u>
<em><u>x=8</u></em>
<em><u>Solving for Y:</u></em>
<em>Since we already have x, we only need to input the x value into one of the formulas:</em>
y=1(8)+9
<u>Simplify parenthesis with multiplication:</u>
y=8+9
<u>Add:</u>
<u><em>y=17</em></u>
If you feel unsure, check your work with both equations:
(17)=2(8)+1
17=16+1
17=17=Good
(17)=1(8)+9
17=8+9
17=17=Good
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Answer:
The measure of angle ABC = The measure of angle A prime B prime C prime
Step-by-step explanation:
we know that
The transformation of the figure is a reflection, so after the transformation the shape still has the same size, area, angles and line lengths.
the triangles ABC and A'B'C' are congruent
therefore
the corresponding sides and corresponding angles are equal
so
The relationship between the measures of the angles of the two triangles is
