Jason has 14 raspberry scones and 35 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag
1 answer:
Answer:
7 is the greatest number of bags Jason can fill.
Step-by-step explanation:
Given: Jason has 14 raspberry scones and 35 blackberry scones.
Now, finding the maximum number of bags Jason can fill with equal number of raspberry scones and blackberry scones.
∴ we will be using Greatest common factor (GCF) for knowing the number of bags.
∴
7 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.
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Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z =
Simplify,
z =
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
The point slope form of equation through given points is:
Step-by-step explanation:
Given points are:
(x1,y1) = (-5,4)
(x2,y2) = ((1,6)
First of all we have to find the slope of line
So,
Point-slope form is given by:
Putting m=1/3
Putting (1,6) in the equation
The point slope form of equation through given points is:
Keywords: Point slope form
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