Answer: 
Step-by-step explanation:
The formula for area of a triangle is 
Now we have to isolate for w.
First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.
Now divide by h to isolate w.
Answer:
B
Step-by-step explanation:
using the tangent ratio on the triangle on the right and the exact value
tan60° = 
, then letting the altitude be h
tan60° = 
= 
= ( multiply both sides by h )
11
= h × ( divide both sides by )
11
= h
using the sine ratio in the triangle on the left and the exact value
sin45° = 
, then
sin45° = 
= 
= 
= ( cross- multiply )
× x = 22 ( divide both sides by )
x = 22
23:8 is the simplest form. However, you can put 5.75:2 or even 2.86/1 if you are looking for the absolute simplest
Answer:
see below
Step-by-step explanation:
1. < 4 is the exterior angle of a triangle given
2. <1 + <2 + <3 =180 basic property of triangles
3. <3 + <4 are a linear pair <3 and <4 are adjacent and form a straight line
4. <3 and <4 are supplementary angles supplementary angles are linear pairs
5. <3 + <4 = 180 The definition of supplementary angles are that they add to 180 degrees
6. <1 + <2 + <3 = <3+ <4 Substitute <3 + <4 for 180 in equation from step 2
7 <1 + <2 = <4 Subtract <3 from each side using the subtraction property of equality
The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
<h3>How to determine the coordinates?</h3>
The given parameters are given as:
- Slope, m = 2/3
- y-intercept, c = -5
The equation is represented as:
y = mx + c
So, we have:
y = 2/3x -5
When x = 0, we have;
y = 2/3 * 0 -5 = -5
When x = 3, we have;
y = 2/3 * 3 -5 = -3
When x = 6, we have;
y = 2/3 * 6 -5 = -1
When x = 9, we have;
y = 2/3 * 9 -5 = 1
Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
Read more about linear equations at:
brainly.com/question/14323743
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