Negative 5 squared is negative 25
Answer:
See the argument below
Step-by-step explanation:
I will give the argument in symbolic form, using rules of inference.
First, let's conclude c.
(1)⇒a by simplification of conjunction
a⇒¬(¬a) by double negation
¬(¬a)∧(2)⇒¬(¬c) by Modus tollens
¬(¬c)⇒c by double negation
Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.
An alternative approach to De Morgan's law is the following:
By contradiction proof, assume h is true.
h⇒d∨h by addition
(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.
It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.
<h3>How to solve the triangle?</h3>
It should be noted that the triangles are similar because the three internal angles are equal.
In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.
The width of the river will be:
300/80 = AB/50
AB = (300 × 50)/80
AB = 187.50 feet.
Learn more about triangles on:
brainly.com/question/17335144
Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Answer:
p= 50
Step-by-step explanation:
the angle that measures 130 is supplementary to the angle below, meaning the other angle must equal 50 degrees. This angle is an alternate interior angle with angle p, making them congruent.
