Answer:
∠2 and ∠4 are the supplementary angle.
Step-by-step explanation:
Shelves of the bookcase are parallel and a transversal line is intersecting these points at two distinct points.
By the property,
Sum of two interior consecutive angles measure 180°.
From the figure attached,
∠2 and ∠4 are the interior consecutive angles.
Therefore, m∠2 + m∠4 = 180°
Which proves that shelves of the showcase are parallel.
Answer:
15 ounces of red beans
Step-by-step explanation:
So, we know Kim's soup contains a total of 75 ounces of beans, including red beans (r) and black beans (b), so r + b = 75
Then we know that for each ounce of red beans, there are 4 ounces of black beans, 1b = 4r
Then we merge both equations by replacing b's value in the first equation by its equivalent (b = 4r), since we are looking for the count of red beans.
r + b = 75
r + 4r = 75
5 r = 75
r = 15
There are 15 ounces of red beans in Kim's soup, that looks a lot like the last chili I made :-)
Answer:
units
Step-by-step explanation:
The given triangle is an isosceles right triangle.
This implies that, the second leg is also x units.
We use the Pythagoras Theorem to obtain:


Divide both sides by 2; to get

Take positive square root to get:


A, 71-32 is equal to 39
C, 85-46 is also equal to 39