Answer:
The vertex is (4,-17)
Step-by-step explanation:
From the diagram, ΔRST, ΔRUS and ΔSUT are right triangles. This means that the corresponding legs of the three triangles are proportional, then we can say that the triangles are similar by side-angle-side similarity.
RS/RU=RU/SU
In the figure we can also notice that the acute angles of the corresponding angles are similar, then by angle-angle similarity the triangles are similar.
∠TRS~∠URS~TSU
This implies that: ΔSUT~ΔSRU~ΔRTS
Answer:
10 years
Step-by-step explanation:
let they become of same height after t years
3ft=36 inches
hence
height of A
Ha=36+21t
8ft=96 inches
height of B
Hb = 96+15t
as Ha =Hb
36+21t =96+15t
21t-15t =96-36
6t=60
t=60/6
t= 10 years
In order to find scientific notation you have to move the decimal (which is located at the end of the number in the case) where it becomes a number less than 10 but greater than 1.
(190,000.) = (1.9)
How ever many times you moved the decimal (in this case 5) will now become the exponent (whether the exponent is positive or negative will tell you whether to move left or right)
(1.90,000.)
(5)
As an end result 190,000 in scientific notation will then equal 1.9x10^5
Remember
the exterior angle=sum of the other 2 interior anlges
therfor
(one that is less pointy triangle)
2x+3x=135
5x=135
x=27
2*27=54
3*27=81
the interior angles are 54 and 81 and x=27
other pointier one with 3x-1 on it
12+3x-1=167
11+3x=167
minus 11
3x=156
divide 3
x=52
sub
3*52=156
156-1=155
missin angle is 155, x=52
attachment below (in degrees)