Answer: The slope is 1/4.
Step-by-step explanation:
To find the slope, find two points on the line and find the difference in their y coordinates and divide it by the difference in their x coordinates .
(0,20) and (40,30)
Difference in y: 30 - 20 = 10
Difference in x: 40 - 0 = 40
Slope: 10/ 40 = 1/4
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
<h3>What is the
triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
Learn more about the Triangle Inequality Theorem:
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Answer:
1) 189.25 square inches
2) 21 square feet
Step-by-step explanation:
1) In order to find the area of a semicircle, you use (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25
2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21
Step-by-step explanation:
And he wants to know how many backpacks he has. Simple!
2*3*5=25 backpacks
:)
Hey there!!
A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet
For heads, total = 40
Let us take the number of chickens as ' x ' and goats as ' y '
x + y = 40 ------------- ( 1 )
2x + 4y = 150 ----------- ( 2 )
Multiply the first equation with 2
2x + 2y = 80
2x + 4y = 150
Subtract the first equation from the first
2y = 70
y = 35
Number of goats = 35
substitute this in other equation
x + y = 40
x + 35 = 40
x = 5
Number of chickens are 4
Hope it helps!
