Answer:
Step-by-step explanation:
x + y = 4 ---------------(i)
x = 4-y
7x + 9y = 42 -----------(ii)
Plug in x = 4-y in equ (ii)
7*(4 - y) + 9y = 42
28 - 7y +9y = 42
28 + 2y = 42
2y = 42 - 28
2y = 14
y = 14/2
y = 7
x = 4 - y
x = 4 - 7
x = -3
An extension of the Pythagorean Theorem results in what is the so-called "distance formula".
d^2=(x2-x1)^2+(y2-y1)^2, in this case you have points (-2,4) and (2,0) so:
d^2=(2--2)^2+(0-4)^2
d^2=4^2+(-4)^2
d^2=16+16
d^2=2*16
d=√32 units
d=√(2*16)
d=4√2 units
d≈5.66 units (to nearest hundredth of a unit)
Answer is 45 (33-28+40=45)
Answer:
Triangles are similar using AAA rule of similarity.
Step-by-step explanation:
Let's take triangle ACD. Where <D =60 degrees. <A =74.9 degrees and let's find <C using angle sum property of a triangle.
Please remember the sum of interior angle of a triangle is 180 degrees.
So, m<D= 180-60-74.9 =45.1 degrees.
Other triangle RST has the two angles as 74.9 degrees and 45.1 degrees.
So, third angle <T= 180-74.9-45.1= 60 degrees.
If we see the angles of a triangle, both has same angle measures.
That's <A= <R
<C= <S
<D= <T
So, the triangles are similar using AAA rule of similarity.
