Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
Answer:
133°
Step-by-step explanation:
angles on a straight line = 180°
180 - 144 = 36°
angles in a triangle = 180°
36 + 31 = 67
180 - 67 = 113
answer = 113°
One way is to factor and group and get every 3
729=3 times 3 times 3 times 3 times 3 times 3
so we group the ones that happen 3 times
729=(3*3*3) times (3*3*3)
we know that we can take the cube root of each group and multiply the result
729=
![( \sqrt[3]{3*3*3})( \sqrt[3]{3*3*3})](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B3%5D%7B3%2A3%2A3%7D%29%28%20%5Csqrt%5B3%5D%7B3%2A3%2A3%7D%29)
=(3)(3)=9
the answer is 9
Answer:
1st option
Step-by-step explanation:
Consider the coordinates of F and F'
F (- 3, 4 ) and F' (- 1, 3 )
To go from - 3 → - 1 in the x- directions , means adding 2
To go from 4 → 3 in the y- direction means subtracting 1
Then translation rule is
(x, y ) → (x + 2, y - 1 )
The woman is 6 foot tall
<h3>What is proportion?</h3>
Proportion can be defined as the mathematical comparison of two numbers.
These numbers could be numbers, elements, set or people
From the information given, we have that;
- The globe is 3 feet and casts a shadow of 8ft
- The woman cast a shadow of 16ft and is x feet tall
So,
if the globe is 3 foot tall and casts a shadow of 8ft
Then the woman is x foot tall to cast a shadow of 16ft
cross multiply
8x = 24
Make 'x' the subject
x = 48/ 8
x = 6 foot
Thus, the woman is 6 foot tall
Learn more about proportion here:
brainly.com/question/1781657
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