Since the triangle is equilateral, all its angles are equal to 60°
AO is the bisector⇒∠OAD = 30°
AO is the hypotenuse, ∠OAD = 30°⇒
OD=5*2=10m
By the Pythagorean theorem
Answer: A) 
m²
P.S. Hello from Russia and sorry for my bad english :^)
1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?
Point Slope form y − y1 = m(x − x1)
Y1: -7 x1:1 slope :-2/3
Y-(-7)=-2/3(x-1)
Y+7=-2/3(x-1)
2. What is the equation of a line, in point-slope form, that passes through (-2,-6) and had a slope of 1/3?
Y-(-6)=1/3(x-(-2))
Y+6=1/3(x+2)
3.What is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)
SlopeM: =change in y/change in x
M= -1-5/-3-4
M= -6/-7
M=6/7
So now slope:6/7, point (4,5)
Y-y1=m(x-x1)
Equation in point slope
Y-5=6/7(x-4)
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
Answer: A − 9/7
Step-by-step explanation:
Hi, to answer this question we have to convert all the numbers into decimal form.
-3 1/3 = - (3x3+1)/3 =-10/3 = - 3.3334
-4/5 = -0.8
Since he number must greater than −3 1/3 but less than − 4/5.
−3 1/3 < x < − 4/5.
- 3.3334 < x < -0.8
The correct option is A = -9/7 , because in decimal form is equal to -1.28-
- 3.3334 < -1.28 < -0.8
