Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
-----> by vertical angles
-----> is a right angle
-----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore
substitute the values and solve for AB
Answer:
5 I belive
Step-by-step explanation:
The answer is 24cm. Because a triangle has 3 sides, and the triangle is equilateral, which means all the sides of the triangle are equal. So since all 3 sides add up to 72cm, we can do 72/3 which is 24. Each side of the triangle is 24cm
Eliminate y's
multily top equation by 2 and add to 2nd
6x+2y=8
<u>1x-2y=3 +</u>
7x+0y=11
7x=11
x=11/7
sub back
x-2y=3
11/7-2y=3
add 2y both sides
11/7=2y+3
minus 3 which is 21/7
-10/7=2y
divide by 2 or times 1/2
-5/7=y
(x,y)
Hey there! :)
Line passes through (2, -4) & parallel to y = 3x+ 2
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope. "M" is simply a place mat so if we look at our given line, the "m" value is 3. Therefore, our slope is 3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our slope for our new line will be 3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (2, -4) with a slope of 3.
y-y₁=m(x-x₁)
Let's start by plugging in 3 for m (our slope), 2 for x1 and -4 for y1.
y - (-4) = 3(x - 2)
Simplify.
y + 4 = 3x - 6
Simplify by subtracting 4 from both sides.
y = 3x - 10
~Hope I helped!~