A mother weighs her baby by holding the baby and stepping on a scale. Their combined weight is 143 pounds and the mother's weigh
t is 128 pounds. How much does the baby weigh? Let w be the baby's weight. Which equation can be used to find the baby's weight?
A. 143-w=128
B. 143-128=w
C. w+128=143
D. all of the above
A. 143-w=128
B. 143-128=w
C. w+128=143
D. all of the above
1 answer:
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Answer:
The lengths of sides of squares are 5 cm and 9 cm.
Step-by-step explanation:
Let the sides of rectangle be x and y .
Area of rectangle = Length × Breadth
Given : Area of rectangle = 45 cm².
⇒ x × y = 45
⇒ ........(1)
Two squares are constructed such that two adjacent sides of the rectangle
so squares have side x and y .
Area of square = side × side
Area of square with side x = x²
Area of square with side y = y²
Also, The combined area of the two squares is 106 cm².
⇒ x² + y² = 106
From (1) put value of x , we get,
Solving for y ,
or
on solving we get y = 5 and y = 9
Also, x can be find by putting in (1),
⇒ and ⇒
⇒ x = 9 and x = 5
Thus, lengths of sides of squares are 5 cm and 9 cm.
<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;
Substituting the values, we get;
Cross multiplying, we get;
Dividing both sides by 27, we have;
Thus, the value of x is
Hence, Option D is the correct answer.