create a system of equations and use algebra to create a quadratic equation with points (-1,5) (0,3) (3,9)
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If D varies directly with t and D is 105 when t is 3 then value of D when t is 8 is equal to 280
<u>Solution:</u>
In this sum we have been given that there is a direct relationship between d and t.
If d is 105 when t is 3 so now, we need to find d when t is 8.
To do this we can simply use the unitary method. The definition of unitary method is, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, according to the definition we need to find the value of d when t is 1.
This can be done as follows:
Therefore, the value of d when t = 1 is 35.
Now, if the value of t=8 then d becomes:
Hence, when t=8 the value of d is 280.
Answer:
Step-by-step explanation:
Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e ).
It can be deduced from the given question that;
1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.
2. Given statements: m<1 + m<2 = , and m<1 + m<3 =
. The reason is the definition of supplementary angles.
3. Statement: m<2 = m<3. The reason is a transitive property.
4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.
5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.
Therefore, <2 ≅ <3.