Step-by-step explanation:
example: the distance form the line y=x till Y and Y' must be the same
Answer:
solution given :
Since opposite side and side of a congruent triangle are equal.
Now
the statement which is true is:
<HDG=~ <HFE
Answer:
<u>The altitude or height of the triangle is 6 meters.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Area of a triangle = 60 m²
Base = 20 m
2. What is the altitude (h) of the triangle?
Let's recall that the formula of the area of a triangle is:
Area = (Base * Height)/2
Replacing with the real values, we have:
60 = (20 * Height)/2
60 * 2 = (20 * Height) (Multiplying by 2 at both sides)
120 = 20 Height
Height = 120/20 = 6 meters
<u>The altitude or height of the triangle is 6 meters.</u>
Y= arcsin(x) is equivalent to sin(y) = x
we know that -1≤x+1, hence the range of y is: -π/2≤y≤+π/2
Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
