You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Answer:
The slope of the line is -3/2 or -1.5
Step-by-step explanation:
y2-y1/x2-x1
-1-2/2-0=
-3/2 or -1.5
Answer:
X=2
Step-by-step explanation:
2(12x-8) + 1/3 x 9 =35
24x -16 + 3 = 35
24x = 48
X = 2
Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then



The triangle after a reflection over x = -3. So, the rule of reflection is


The vertices of triangle after reflection are


Similarly,



And,


Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
If you translate this problem literally, it is saying, “72 is what percent of 288?”. And the equational translation of that is 72 = (x/100) • 288
[ “is” means equal to (=) // “what” means x or another variable // “percent” means divided by 100” // “of” means multiplication. ]
Then you solve that equation.
(you can check it by googling what is 25% of 288. )