1) Answer: A
because trangles RST is similar to VUT as:
<RST=<VUT=55 (Angle)
<RTS=<VTU=90 (it seems right angled) Angle
So by AA similarity...(two angles similarity is enough)
2) Answer:B
y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.
3) Answer: A should be right choice. Step 1 is wrong here which is,
m<m + m<n + m<p=180 (wrong)
It should be:
m<m + m<n + m<0=180 (right)
Answer with step-by-step explanation:
The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.
Answer:
3
Step-by-step explanation:
because 3 is a prime number and 3+2=5 which is also a prime number
<h3>
Answer: 25</h3>
Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.
The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5
Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.
We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.
Answer: 52.7856cm
Step-by-step explanation:
Circumference of a circle = 2πr
Note that radius = Diameter / 2 = 16.8/2 = 8.4cm
Circumference = 2πr
= 2 × 3.142 × 8.4
= 52.7856cm
Therefore, the circumference of the circle is 52.7856cm
