Step-by-step explanation:
hello,
the shape is a right trapezium.
you use the following formula:
area of a trapezium = ½ × sum of parallel sides× height.
or simply,
a = ½ ( a + b ) h
where a and b are the parallel sides
and h is the height.
thus,
a = ½ × ( 4 + 6 )× 4
a = ½ ( 10 ) × 4
a = 5 × 4
a = 20
have a great day! au revoir !
If the triangles are similar, the base should be 24 inches. The legs on the first triangle are 12 inches. To get 36 inches (the other triangle), we multiply 12 by 3. 12 x 3 = 36. Because you did that to the legs, you must also do it to the base. 8 x 3 = 24. Therefore, the base of the second triangle is 24 inches.
It is given that AB is parellel to CD. These two lines are cut by a transversal, creating angles BAC and DCA. Thus, angle BAC is congruent to angle DCA because alternate interior angles are congruent. It is also given that angle ACB is congruent to angle CAD. Therefore, triangle ABC is congruent to triangle CDA because of the ASA theorem.
-- Find how much 'y' changes from the first point to the second one.
-- Find how much 'x' changes from the first point to the second one.
-- The slope of the line going from the first point to the second one is
(change in 'y') / (change in 'x') .
Answer:
-3
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (-5-7)/(-4- -8)
= (-12)/(-4+8)
=-12/4
= -3
