Answer:
x= 4
m<ABC= 56
Step-by-step explanation:
since BD bisects, both sides of the angle are equal.
So we can set up an equation like this: <ABD=<CBD
(9x-8)=(5x+8) calculate for x
you'll find x=4
then put four into one of the angle equations
9(4)-8=28
now we know each side of the angle is 28, double it to find the whole (<ABC)
28+28=56
Answer:
The answer to your question is a) y = 1.5x - 6
b) y = -4x + 6.1
c) Point (2.2, -2.7)
Step-by-step explanation:
First line Second line
P (0, -6) Q (1, -4.5) R (0, 6.1) S (1, 2.1)
m = (-4.5 + 6) / (1 - 0) m = (2.1 - 6.1) / (1 - 0)
m = 1.5 / 1 m = -4/1
m = 1.5 m = -4
Line Line
y - y1 = m(x - x1) y - 6.1 = -4(x - 0)
y + 6 = 1.5(x) y - 6.1 = -4x
y = 1.5x - 6 y = -4x + 6.1
Solve the system by equality
1.5x - 6 = -4x + 6.1
1.5x + 4x = 6.1 + 6
5.5x = 12.1
x = 12.1 / 5.5
x = 2.2
Find y
y = 1.5(2.2) - 6
y = 3.3 - 6
y = -2.7
Point (2.2, -2.7)
There’s no picture or is this the question
Answer:
The width is 
Step-by-step explanation:
The area of a rectangle is given as : 
This implies that: 
We have that the length is 
and the area is 
We substitute to get:
We cancel out the common factors to get:
Answer:
80ft²
Step-by-step explanation:
Given in the question,
radius of cone's base = 8ft
cone's base = base of triangle
height of cone = 10 ft
height of cone = height of triangle
<h3>Area of triangle </h3>
Area = 1/2(h)(b)
here h = height of triangle
b = base of triangle
A = 1/2(8)(10)
A = 40ft²
Since the section is 2 similar triangles back to back around the vertical centre so the area cross sectional area of triangle form in the cone is 2(40)ft² = 80ft²
