Answer: The triangles are congruent by SAS(side-angle-side)
Step-by-step explanation:
The triangles are congruent because 2 corresponding sides and one corresponding angle are given as congruent in an order respectable as a congruency statement(the SAS part).
Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=
=26.40 which rounded to the nearest tenth =26
Answer:
I need to see the points. However the numbers:
-2, -3, -4 will work.
Step-by-step explanation:
100+30=130
130%=520
divide both sides by 13
10%=40
times 10 both sides
100%=400
original price is $400