Coordinates : A(1,2) B(-5,6) C(7,-4) D(-2,t) - All are taken in order
gradient of AB = (6-2)/(-5-1) = 4/-6 = -⅔
since it is quadrilateral, AB//CD
gradient of CD = -⅔
equation of CD : y-(-4)=-⅔(x-7)
y+4=-⅔x+14/3
y=-⅔x+⅔
now, sub x=-2 from D(-2,t)
since t is the y-coordinate of point D
t=-⅔(-2)+⅔
t=2
Therefore, t=2
The correct answer for the given expression is 99.22.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = 
E = 
E =
E = 99.22
Therefore the correct answer for the given expression is 99.22.
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Answer:
<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>
Step-by-step explanation:
*The appropriate triangle is attached below.
From the diagram, the right triangle ABC has
- Hypotenuse =


The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.
We know that,

Putting the values,



Given:
The recipe calls for
cup of chili powder.
Karl only wants to use half as much so it won’t be so spicy.
To find:
How much chili powder should Karl use?
Solution:
We have,
Chill power for recipe =
cup
Chill power used by Karl is half of chill power for recipe.
cup
cup
Therefore,
cup of chili powder should Karl use.