Answer:
Base angle = 72
Vertex angle = 18
Step-by-step explanation:
Measure of the base angle = x. But there are two of them. (Definition of isosceles). Keep that in mind.
The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x
All three angles = 180 degrees.
So we have x + x + x/4 = 180 degrees.
change 1/4x to 0.25x x since 1/4 = 0.25
Equation
x + x + 0.25 = 180
2.5x = 180
Solution
2.5x = 180 Divide by 2.5 on both sides
2.5x/2.5 = 180/2.5
x = 72
Answer
That means that each base angle = 72 degrees
The Vertex Angle = 72/4 = 18
Answer:
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
Answer:
that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.
you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.
so the perimeter is the sum of of all side lengths.
56 = x - 1 + 3x + 3x + 1 = 7x
x = 8
that gives us the side lengths :
x - 1 = 7 cm
3x = 21 cm
3x + 1 = 22 cm
the formula for the area of a triangle
A = baseline × height / 2
the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).
so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.
therefore,
A = 21×7/2 = 147/2 = 73.5 cm²
Answer:
See below
Step-by-step explanation:
3x < 11.75
11.75 / 3 = 3.92
x < 3.92
