Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)
dilated by a scale factor of 0.50
1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)
B.)
-1.5 -2.5 2 3.5
<span> 1 -2 3 0 </span>
Answer: There are 90 calories in a 6-ounce bottle.
Step-by-step explanation:
We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.
Given: 10 ounces of juice has 150 calories.
i.e. 1 ounce of juice has 
calories.
i.e. 1 ounce of juice has 15 calories.
Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories
Hence, there are 90 calories in a 6-ounce bottle.
Answer:
A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.
Step-by-step explanation:
i hope this will help you
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
The sum of angles on a straight line is 180°.
( R ) and ( 2x + 5 ) are both on the same straight line.
Therefore:
Equation No. 1 -
R + 2x + 5 = 180
R = 180 - 2x - 5
R = 175 - 2x
Vertically opposite angles are equivalent to each other.
( R ) is vertically opposite ( 3x + 15 ).
Therefore:
Equation No. 2 -
R = 3x + 15
Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )
R = 3x + 15
175 - 2x = 3x + 15
- 2x - 3x = 15 - 175
- 5x = - 160
x = - 160 / - 5
x = 160 / 5
x = 32
Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).
Equation No. 2 -
R = 175 - 2x
R = 175 - 2 ( 32 )
R = 175 - 64
R = 111
FINAL ANSWER:
Therefore, the answer is:
R = 111
x = 32
Hope this helps! :)
Have a lovely day! <3
Answer:
12
Step-by-step explanation:
72/6 = 12
Or 72= h*6
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