Let's solve for "r" by bringing them all to one side.
-3r=6-4r
+4r +4r
r=6
So, r is equal to 6.
Answer:
System a will graph a pair of parallel lines.
Step-by-step explanation:
Both equations have the same slope.
Answer: 19
Step-by-step explanation:
570 divided by 30
Answer:
Step-by-step explanation:
Given: DE║BC
To prove: 
Statements Reasons
1). DE║BC 1). Given
2). ∠1 ≅ ∠4, ∠3 ≅ ∠4 2). Corresponding angles theorem
3). ΔADE ~ ΔABC 3). AA Similarity theorem
4).
4). Corresponding sides are proportional
5).
5). Segment addition postulate
6).
6). 
7).
7). Subtract 1 from both sides
8).
8). Take the reciprocal of both sides
As the figure is not attached, I have attached the figure using the link- https://cdn.ple.platoweb.com/EdAssets/6764fbd04e1f4014be049f2831fd4e8c?ts=635356393812430000
Answer:
Area is 30 square inches.
Step-by-step explanation:
Given:
The wooden cutout of the lightning bolt consists of 2 right angled triangles with the legs being 10 inches and 3 inches.
The area of this lightning bolt will be equal to the sum of the areas of the two right angled triangles.
The area of a triangle of base 'b' and height 'h' is given as:

Here,
. Plug in solve for area of one of the triangles.
Therefore, area of the right angled triangle is:

Now, the two right angled triangles are congruent. So, total area is twice the area of one of the triangle.
Therefore, total area of the lightning bolt is
in².