Answer & Step-by-step explanation:
Vertical angles are congruent meaning that these two angles are going to have the same measurement. Since we know this, then we can set up an equation where one angle is equal to the other.
x + 10 = 55
Subtract 10 on both sides of the equation.
x = 45
So, the value of x is 45.
1 is on “greater than”
2 is on “less then”
3 is on “between”
4 is on “between”
5 is on “between”
6 is on “less then”
7 is on “greater then”
To solve, lets find the volumes of all of the options...
V=l*w*h
A.
6*3*4=72cm³
12*2*3=72cm³
B.
2*4*9=72cm³
9*4*2=72cm³
C.
3*3*8=72cm³
2*6*8=96cm³
D.
6*3*4=72cm³
9*4*3=108cm³
We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.
Now lets solve for the surface area of A and B...
A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²
B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²
A is the only option with both similar volumes of 72cm³ and different surface areas...
Answer=A
Given:
The function is
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
It is a linear function, and domain and range of these types of functions are all real numbers.
Put x=0 in f(x), to find the y-intercept.
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
Divide both sides by 7.
So, the x-intercept is 
.
Therefore, 
.
