Answer:
infinite
Step-by-step explanation:
Answer:
x=20°
Step-by-step explanation:
Given that , an isosceles triangle, has the ratio of the measure of the vertex to the measure of a base angle is 1:4, we want to find the measure of the vertex angle.
Note that the base angles of an isosceles triangle are equal.
Therefore if the vertex angle is x, then the base angles are:
4x each
The sum of angles in a triangle is 180°
The vertex angle is 20°
1.
cos(90-x) = sin(x)
sin(-x) = -sin(x)
cos²(180+x) = (-cos²x) = cos²(x)
Then
cos(90-x) .sin(-x)/cos²(180+x) = sin(x).(-sin(x))/cos²(x)
= -sin²(x))/cos²(x)
= −tan²(x)
2.
tan² (360° + θ)/cos(90° + θ).sin(180° - θ)
tan² (360° + θ) = tan² (θ)
cos(90° +x) = - sin(θ)
sin(180° - θ) = sin(θ)
tan² (360° + θ)/cos(90° +θ).sin(180° - θ) = tan² (θ)/- sin(θ) sin(θ)
= -tan²(θ)/sin²(θ)
= -1/cos²(θ)
= - (cos²θ + sin²θ)/cos²θ
= -1 - tan²θ
Answer:true
Step-by-step explanation:
5x-3(2x-4)=
1) solve the parentheses
5x-6x-12=0
2) we just can rest the X
5x-6x=X
3) X-12=0
4) The order of factors does not alter the product
12-X=0
Answer:
Option A: y-9=2(x-1)
Step-by-step explanation:
Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)
The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.
Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)
B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)
C and D are wrong because the points aren't crossed through