<h3><u>The first number, x, is equal to 33.</u></h3><h3><u>The second number, y, is equal to 23.</u></h3><h3><u>The third number, z, is equal to 46.</u></h3>
x + y + z = 102
z = 2y
x = 10 + y
Because we have values of x and z, we can plug them into the original equation to solve for y.
10 + y + y + 2y = 102
Combine like terms.
4y + 10 = 102
Subtract 10 from both sides.
4y = 92
Divide both sides by 4.
y = 23
Now that we have a value for y, we can find the value of x and z.
z = 2(23)
z = 46
x = 10 + 23
x = 33
It is 2,56 i think but i dont completely know thoe
Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>
y = 2x<span> 2</span><span> + 8 x + 5 </span>
Complete square and determine vertex.
y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>
= 2(x + 2)<span> 2</span><span> - 3 </span>
<span>vertex at (- 2 , - 3) </span>
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
