Answer: The value of x in quadrilateral ABCD is 9 cm.
Since both pairs of sides are parallel, this shape is also a parallelogram. The area of a parallelogram is base times height.
Therefore in this parallelogram, we can write and solve the following equation.
A = B x H
63 = 7x
9 = x
The height must be 9 cm.
The height of the tree and the building are 7.6 m and 28.6 m respectively.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Two triangles are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Triangle BGD, CHD and AFD are similar triangles.
CH = 1.6, DH = 8, GH = 30, GF = 105
FH = GF + GH = 105 + 30 = 135
FD = FH + DH = 135 + 8 = 143; GD = 30 + 8 = 38
Hence, using similar triangles:
BG/CH = GD / DH
BG / 1.6 = 38/8
BG = 7.6 m
Also:
building/CH = DF / DH
building / 1.6 = 143/8
building = 28.6 m
The height of the tree and the building are 7.6 m and 28.6 m respectively.
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Answer:
c. both
Step-by-step explanation:
Answer:
20 gallons
Step-by-step explanation:
Divide 120 miles by 8 to find miles per gallon
120 ÷ 8 = 15 miles per gallon
Now divide 300 miles by 15 to find number of gallons required
300 ÷ 15 = 20
20 gallons are required for a journey of 300 miles