Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
Answer:
he will have 54 1/3 acres of land
Step-by-step explanation:
Answer:
Step-by-step explanation:
p(headache) = 0.45
p(headache | taking a vitamin) = 0.15/0.50 = 0.30
The two probabilities <em>are not equal</em>.
Answer:
you get 9/25
Step-by-step explanation:
formula for area of square
=s^2
plug in
3/5^2
calculate
you get 9/25
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
