Answer:
B
Step-by-step explanation:
Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = 
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d = 
= 
= 
= a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
14-7 = 7
7 more red roses than pink roses
we are given that
angle(ACF)=90
angle(ACB)=61
sum of all angles along any line is 180
so, we get
angle(ACF)+angle(ACD)=180
we can plug value
90+angle(ACD)=180
angle(ACD)=90
now, we can use formula
angle(ACD)=angle(ACB)+angle(BCD)
now, we can plug values
and we get
90=61+angle(BCD)
90-61=61-61+angle(BCD)
angle(BCD)=29................Answer
