1). is the correct answer.
Answer:
for number 3 the answer is 8
Step-by-step explanation:
the small one is twice as small as the big one and if you divide the small ones number by 2 you get the values for the big one
Answer:
Step-by-step explanation:
The pair of segments on the right tells you the ratio of the segment length above the horizontal line to that below the horizontal line is ...
18 : 6 = 3 : 1
Then x = 3 times 5 = 15.
12 is 3 times y, so y = 4.
Step-by-step explanation:
We notice that if the gradient changes, then the value of \(\theta\) also changes, therefore the angle of inclination of a line is related to its gradient. We know that gradient is the ratio of a change in the \(y\)-direction to a change in the \(x\)-direction:
\[m=\frac{\Delta y}{\Delta x}\]
From trigonometry we know that the tangent function is defined as the ratio:
\[\tan \theta = \frac{\text{opposite side}}{\text{adjacent side}}\]
And from the diagram we see that
\begin{align*} \tan \theta &= \dfrac{\Delta y}{\Delta x} \\ \therefore m &= \tan \theta \qquad \text{ for } \text{0}\text{°} \leq \theta < \text{180}\text{°} \end{align*}
Therefore the gradient of a straight line is equal to the tangent of the angle formed between the line and the positive direction of the \(x\)-axis.
Answer:
3) Not equivalent
4) Equivalent x 2
5) Equivalent x 2
Make sure to multiply or reduce to the lowest terms to see if they are the same or not the same.
