Answer:
D 150 sq ft
Step-by-step explanation:
10x12 = 120
1/2(10)(6) = 30
120+30 = 150
Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
Answer:
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Step-by-step explanation:
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Answer:
The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
Step-by-step explanation:
The lengths of side of the triangle are in ratio 8:9:10
Perimeter of triangle = 108 cm
We need to find length of sides of triangles.
The formula used is:
The length of side of triangle can be expressed as:
First side= 8x
Second Side =9x
Third Side=10x
So, finding x and then calculate length of each side
So, value of x = 4
The length of sides of triangle will be found by putting value of x at each side.
First side= 8x = 8*4 = 32 cm
Second Side =9x= 9*4= 36 cm
Third Side=10x = 10*4=40 cm
So, The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm
Answer:
P(odd number) = 0.5
Step-by-step explanation:
There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)
When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.
So the probability of P(odd number) = 0.5