Answer:
m<S = 45°
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180 deg.
m<R + m<S + m<T = 180
3x + 2x + 3x = 180
8x = 180
x = 22.5
m<S = 2x = 2(22.5) = 45
Answer:
B. 
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.
The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.
Therefore, the area of the enlarged trapezoid would be and option B is the correct choice.
Answer: 118
Explanation:
Since ∠A=∠ADB: ∠ADB=61°. The sum of the interior angles of any triangle is 180°, thus:
61°+61°= 122
180-122=58°
∠DBA=58°
Since triangle BCD is an equilateral triangle, all the interior angles are the same:
180/3=60
∠DBC=60°
∠BCD=60°
∠CDB=60°
Since angles DBC and DBA make up angle ABC, just simply add the two angles together:
58+60=118°
Therefore, ∠ABC is 118°.
First, set up the equation using the point-slope formula (y-y1)=m(x-x1).
y1=-4 x1=-3 m=-7/2
(y+4)=-7/2(x+3)
Second, distribute -7/2.
(y+4)=(-7/2)x - 21/2
Third, subtract 4 from both sides.
(y+4)=(-7/2)x - 21/2
-4 -4
______________
y=(-7/2)x - 29/2
The answer is 225 im just guessing
