Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45 (1)
The difference is 5, therefore
x - y = 5 (2)
Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25
From (1), obtain
25 + y = 45
y = 45 - 25 = 20
Answer: 20 and 25
The correct option is B which is the value of PG is 3 units.
Given
The scale factor of the dilation of segment HG is 1/6.
If PG' equals 0.5 units,
<h3>What is the scale factor?</h3>
The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
The scale factor of the dilation of segment HG is 1/6.
By the rule of scale factor;

Where SF represents the scale factor.
Solving for PG, we get:

Hence, the value of PG is 3 units.
To know more about the Scale factor click the link given below.
brainly.com/question/16806865
Answer:
Point C would now be (6,0)
Point B would now be (0,-7)
Point A would now be (2,-6)
Answer:
20x² - 10x - 30
Step-by-step explanation:
Height = 5
Width = 4x² - 2x - 6
Area of rectangle = length × breadth
Area of triangle = height × width
Area = 5 × (4x² - 2x - 6)
Area = 20x² - 10x - 30
Area of the rectangle is 20x² - 10x - 30
Answer:
x=-35
Step-by-step explanation:
136+12x=-4(1-2x)
136+12x=-4+8x
+4 +4
140+12x-12x=8x-12x
140/-4=-4x/-4
x= -35