Answer: b
Step-by-step explanation:
Answer:
<em>The measure of the angles is 45° and 135°</em>
Step-by-step explanation:
When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.
Let's call x and y the two required angles. Knowing they form a linear pair:
x+y=180
We also know one angle is 1/3 of the other angle, thus:
x=y/3
Or, equivalently:
3x=y
Substituting y into the first equation:
x+3x=180
Simplifying:
4x=180
Solving:
x=180/4=45
The other angle is:
y=3x=3\cdot 45=135
Thus the measure of the angles is 45° and 135°
Answer:
Triangle is a three(3) sided shape i.e it has 3 sides and angles. Triangle can classify based on its side (length and equality) and size of its angles.
Step-by-step explanation:
A, Classification by sides: There are three types of triangle base on sides. These are:
1. Scalene Triangle : This describe triangle that has none of its side to be equal. i.e none of the three sides has no equal length.
2. Isosceles Triangle : This describe triangle that has two of its side equal. Also two of the angles are equal.
3. Equilateral Triangle : This describe triangle that has all its side equal i.e all three sides have equal length. Also all angles are of equal sizes.
B. Classification by size of angle: There are four types of triangle base on classification by angle:
1. Acute Triangle : This describe triangle with all three angles less than 90 degree.
2. Obtuse Triangle : This describe triangle that has one of its angle greater than 90 degree
3. Right Angled Triangle : This describe triangle with one of its angle equal 90 degree.
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
To find this we want to divide 8 cups by 2/3 cup per dessert.
To divide by a fraction, multiply the forst number by the reciprocal of the second.
(8/1)*(3/2)= 24/2
24/2=12
Final answer: 12 desserts
