4) i believe the answer is B. angle bisector, since the line AD bisects angle BAC
5) It is R and S, and i believe the answer is C, converse of alternate interior angles theorem
hope this helps
Answer:
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
Where
l = side length = 5.1
Next, calculate the volume of the cone using:
Where
h = 5.1
So, we have:
The volume of the figure is:
Step-by-step explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
<em>Putting eqaution (ii) in eqaution (i), we get;</em>
4x - 3 = 2x + 1
<em>~ Keep like terms on same side.</em>
4x - 2x = 1+3
<em>~ Perform operations. ( +, -, *, /)</em>
2x = 4
x= 4/2
Therefore, X= 2.
<em>Putting the value of X in eqaution (i)</em>
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
The ratio is 6w = 4f.
Multiply both sides by 3/2 to get 6 cups of flour, and we have:
6*3/2 w = 4 * 3/2 f
18/2 w = 12/2 f
9 w = 6 f
So 9 cups of water.
Answer:
The price of the cell phone without the coupon= $500
Step-by-step explanation:
Step 1: Express discounted amount
The discounted amount can be expressed as a function of the original cost of the phone as follows;
D=r×A
where;
D=discounted amount
r=coupon rate
A=original price of the cell phone before the coupon
In our case;
r=45%=45/100=0.45
A=a
replacing;
Discounted amount=(0.45×a)=0.45 a
Step 2: Amount she pays up
Amount she pays=Original cost of cell phone-discounted amount
where;
Amount she pays= $275
original cost of cell phone=a
discounted amount=0.45 a
replacing;
$275=a-0.45 a
0.55 a=275
a=275/0.55
a=500
The price of the cell phone without the coupon= $500
