The answer to number 2 is SAS
The answer to number 3 is SAS
The area of the blanket - 24 ft²
length being longer than the width means that blanket is a rectangle
width of the blanket = x
length of blanket = x +2
area = length * width
area = x * (x+2)
= x² + 2x
since area = 24
x² + 2x = 24
x² + 2x - 24 = 0
we have a quadratic equation and we need to now solve for x
x² + 6x - 4x - 24 = 0
x (x + 6) - 4(x + 6) = 0
(x-4) (x+6) = 0
x-4 = 0 or x + 6 = 0
x = 4 or x = -6
x could be either 4 or -6. since dimensions cannot have negative values,
x ≠ -6
therefore x = 4
width = 4 ft
length = 6 ft
Answer:
neither can be a factor
Step-by-step explanation:
If (x -a) is a factor, then value of the function will be zero at x=a. Here, the function has a value of zero (x-intercept) at x = -1 and x = 3. Hence (x+1) and (x-3) are factors, but (x+2) and (x+4) are not. The function is non-zero at x=-2 and x=-4.
Answer:
x=63.25
Step-by-step explanation:
Hi there!
We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x
we need to find the value of x
Let's use trigonometry to do it
Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle
Recall that tangent is 
in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)
so tan(49)=
plug tan(49) into your calculator; remember to have the calculator on degree mode
tan(49)≈1.15 (rounded to the nearest hundredth)
so that means:
1.15=
multiply both sides by 55 to clear the fraction
63.25=x
Hope this helps!
Answer:
<em>"First, work out the difference (decrease) between the two numbers you are comparing. Decrease = Original Number - New Number. Next, divide the decrease by the original number and multiply the answer by 100. % Decrease = Decrease ÷ Original Number × 100. If the answer is a negative number, this is a percentage increase."</em>