Answer:
m<HJF =
Step-by-step explanation:
From the given diagram, ΔFHJ is similar to ΔFEG. So that;
m<HJF = m<EGJ
⇒ 10x + 36 = 6x + 44
10x - 6x = -36 + 44
4x = 8
x =
x = 2
Substitute the value of x in the expression for m<HJF to have,
m<HJF = 10x + 36
= 10(2) + 36
= 20 + 36
m<HJF =
The measure of angle HJF is .
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be:
Putting values and making equation:
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches