Its an equilateral triangle so all sides are equal.
2x + 5 = 4x - 1
5 = 2x - 1
6 = 2x
3 = x
Do you get it?
You - 4 from 5 then 1 left then 1 multiple by 1 ....answer is 1
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.
RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124
Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152
Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76
There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152
Answer:
24 square feet
Step-by-step explanation:
Given:
Dorian is spreading mulch on his triangular flowerbed.
The base is 8 feet.
The height is 6 feet.
Question asked:
How many square feet of mulch will he need for the flowerbed?
Solution:
The base of triangular flowerbed = 8 feet.
The height of triangular flowerbed = 6 feet.
now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-
As we know:
Thus, 24 square feet of mulch he will need for the flowerbed.
Plug y= -3x in 2x-3y= 22, we have:
2x -3(-3x)= 22
⇒ 2x+ 9x= 22
⇒ 11x= 22
⇒ x= 22/11
⇒ x= 2
y= -3x= -3*2= -6
Final answer: x=2, y=-6~
