To solve the problem shown above, you must follow the proccedure shown below:
1. By definition, Completary angles are those angles whose sum is 90 degrees and Suplementary angles are those angles whose sum is 180 degrees.
2. Keeping the information above on mind, you have:
<span>
(a) An angle measures 43 . What is the measure of its complement?
=90°-43°
=47°
(b) An angle measures 81 . What is the measure of its supplement?
</span>
=180°-81°
=99°
The answers are:
a) 47°
b) 99°
After discount: $418; total (including tax): $388.74
Answer:
D. (x, y) →
Step-by-step explanation:
A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.
When the dilation produces a smaller image is called a reduction.
Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.
Out of the options, the only one that has a scale factor less than one is:
(x, y) →
Since the scale factor is 1/2 which is less than 1.
All other options are not reductions.
Answer:
y=-4x+2
Step-by-step explanation:
Hi there!
We want to find out which equation represents a line with a slope of -4 and a y intercept of (0,2)
The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We have everything we need to plug into the equation, let's just label the values to avoid confusion
m=-4
b=2 (when you substitute the y intercept as b, b is the value of y in the point)
Now substitute into the equation
y=-4x+2
Hope this helps!
1. The formula for calculate the area of a rectangle, is:
A=LxW
A is the area of the rectangle
L is the length of the rectangle.
W is the widht of the rectangle
2. You have that:
-The<span> rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:
L1=10 feet
W1=5 feet
- When</span> a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):
3. The new length is:<span>
L2=L1+x+x
L2=L1+2x
L2=10+2x
4. The new width is:
W2=W1+x+x
W2=W1+2x
W2=5+2x
5. The new area is:
A2=84 feet</span>²<span>
6. Then, you have:
A=LxW
84</span>=(10+2x)(<span>5+2x)
7. When you apply the distributive property, you obtain a quadratic equation:
4x</span>²+30x-34=0
<span>
8. You can solve with by applyin the quadratic formula:
x=(-b±√(b^2-4ac))/2a
a=4
b=30
c=-34
9. Then, the answer is:
x=1 feet
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