Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Answer:
Step-by-step explanation:
Write in slope-intercept form:
-3x + 4y = 12 is
Slope = 1.500/2.000 = 0.750
x-intercept = 12/-3 = 4/-1 = -4.00000
y-intercept = 12/4 = 3
Answer:
The distance between the base of the tree and the flower is 9m
Step-by-step explanation:
Here, we have to paint a picture.
The flower is on the ground, the height of the tree is 12m.
The distance from the nest to the flower on the floor is 15m
Indisputably, what we have is a right angled triangle, with the height being 12m, the length of the hypotenuse being 15 and we are asked to calculate the adjacent which represents the distance from the base of the tree to the flower
To get this distance, we simply apply the Pythagoras’ theorem which states that the square of the hypotenuse(longest side of the triangle) is equal to the sum of the squares of the other two sides.
Thus mathematically, we know that our hypotenuse is 15m and the height is 12m
The length we are to calculate is the adjacent and it is equal to;
15^2 - 12^2
= 225 - 144
= 81
The length is thus
√(81) = 9m
Please check attachment for a diagrammatic picture of the triangle
Answer:
find the base 1st then Height.You should be able to get your Area after doing those steps correctly
Answer:
The answer is D.
Step-by-step explanation:
The first thing I did was substitute the variables in for x and y. This is the numbers in the answer choices: (x,y). I don't know if there is an easier way to do this, but you can replace the two numbers in for the variables since it's multiple choice.
For example,
A: -2+2*4=6 Isn't right
B: 1+2*-1= -1 Nope
C: (0,0) you can already tell it's not right because anything multiplied by 0 is 0.
D: -4+2*1=-2 This is the correct answer.
