Answer:
65
Step-by-step explanation:
The area of the square is 
and the area of a single triangle is 
.
The total area is the square plus the 4 triangles 
Step-by-step explanation:
Consider Similarity and enlargement
To get the enlargement factor,
Take the ratio result of any two similar sides. i.e
PQ/AB = 3.6/2 = 1.8
The enlargement factor is 1.8
To get ST, consider ED then multiply it by the enlargement factor. i.e
= 5 x 1.8
= 9
Answer:
50
Step-by-step explanation:
Angle 1 is 110.
Angle 3 is 2x plus 10.
Angle 1 and 3 are vertically opposite angles.
And vertically opposite angles r equal.
Which means, angle 1=angle 3,and angle 2=angke 4.
Here we only Need angle 2 and 3.
Angke 2= angle 3.
Which is 2x plus 10=110.
Therefore 2x=110-10=100
Therefore x = 100÷2=50
There u have it ma'am.
Answer:
40
Step-by-step explanation:
The denominators are 4, 5, and 8.
Write the prime factorizations:
4 = 2²
5 = 5
8 = 2³
To find the least common denominator, multiply the prime numbers with the highest exponents.
2³ × 5 = 40
Answer:
Denote AH as height of triangle ABC, with H lies on BC.
Applying sine theorem:
AH/AC = sin 60
=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7
=> Area of triangle ABC is calculated by:
A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611
=> Option C is correct.
Hope this helps!
:)
