Answer:
4. ASA theorem
Step-by-step explanation:
Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) The slope / gradient is the coefficient of 
, so for a) it will be 
.
C is the y-intercept, so the full equation will be .
b) Again, since the slope is 6, we know the coefficient of will be 6.
Now, we have a point on the line and so far, we know the equation is 
. The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.
c) To find the gradient we must use the formula 
.
rise = change in y value
run = change in x value
so, the gradient 
Now the equation is 
Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).
so c) is
Answer:
Yes
Step-by-step explanation:
a rational number is a number that can be written as a fraction. Rational numbers are all real numbers, and can be positive or negative. A number that is not rational is called irrational. Most of the numbers that people use in everyday life are rational. These include fractions and integers.
- 3.4 is a integer and also a rational number.
Answer:
$11.9
Step-by-step explanation:
We are given;
The cost of the cell phone is $170
Tax rate is 7%
We are required to find how much tax is paid on the cell phone.
The tax rate is 7% of the cost of the cell phone
That is;
7% of $170
also; 7/100 of $170
Thus, tax paid = 7/100 × $170
= $11.9
Thus, the tax paid on the cell phone is $11.9
<em>AC bisects ∠BAD, => ∠BAC=∠CAD ..... (1)</em>
<em>thus in ΔABC and ΔADC, ∠ABC=∠ADC (given), </em>
<em> ∠BAC=∠CAD [from (1)],</em>
<em>AC (opposite side side of ∠ABC) = AC (opposite side side of ∠ADC), the common side between ΔABC and ΔADC</em>
<em>Hence, by AAS axiom, ΔABC ≅ ΔADC,</em>
<em>Therefore, BC (opposite side side of ∠BAC) = DC (opposite side side of ∠CAD), since (1)</em>
<em />
Hence, BC=DC proved.
