Answer:
y = 85°
z = 35°
x = 60°
Step-by-step explanation:
y) 180 - 120 = 60, therefore:
180 - (35 + 60)
=> <u>y = 85</u>
z)
=> <u>z = 35</u>
x)
180 - (35 + 85)
=> <u>x = 60</u>
Hope this helps!
Answer: x = 2.65, y = 3.81
Step-by-step explanation:
ABC similar to PQR
1) Find the ratio of corresponding sides
2) Use that ratio to find values for x & y
1) Side AB = 2.76cm & Side PR = <em>y</em><em> </em>cm
Side BC = <em>x</em> cm & Side RQ = 3.66 cm
Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)
Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14
Length of sides ABC = 3/4.14 times the length of sides PQR
2) x = (3 / 4.14) * 3.66 = 2.65
Now solve for y, ABC to PQR: 2.76 = (3 / 4.14) (<em>y </em>)
<em>equality property</em> (both sides) & inverse operation to isolate <em>y : </em> . 2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (<em>y</em><em>)</em>
2.76 * (4.14 / 3) = 3 / 4.14 * (4.14 / 3) (<em>y</em><em>)</em>
(2.76 * 1.38 ) = 3.81 = <em>y</em>
<em></em>
<em>Scale Factor Method: Determine the Multiplier</em>
Small to Big or Big to Small ➜ Be sure not to switch
a. The first variable is x and the second variable is y.
b. The equations are
and 
Step-by-step explanation:
Step 1:
The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.
Here let the first variable be x and the let the second variable be y.
So the variables are defined as x and y.
Step 2:
The sum of the given variables is 12.
The first variable + the second variable = 12,

The difference between the two variables is 4.
The first variable - the second variable = 4.

Step 3:
If we add both the equations we get,
and 
x = 8 and y = 4.
Volume is defined as area of the base*the hight.
In this question the base is the traingles.
Area of a triangle is base*hight/2, so it 8*6/2= 24
Volume is 24*8(hight)=192
So the answer is 192cm^3
Answer:
Total revenue =
dollars
Step-by-step explanation:

Integrate with respect to
.
∫
dx
Take 
Differentiate with respect to 

So,
∫
Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx
Therefore,
∫
=
∫
Put 

To find total revenue from the sale of the first 12 calculators, put 

Total revenue =
dollars