Given:
The graph of a translation. X'Y' is a translation of XY.
To find:
The rule of the translation.
Solution:
Let the rule of the translation be
...(i)
So, we need to find the value of a and b.
From the given graph, it is clear that X(-4,-9) and X'(-1,0).
Using (i), the image of X(-4,-9) is
We have, X'(-1,0). So,
On comparing both sides, we get
And,
So, the missing values in the rule of the translation are 3 and 9 respectively.
Therefore, the rule of translation is 
.
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
Answer: 15° and 70°
Step-by-step explanation:
The sum of angles of a triangle is 180.
One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;
180 - 95 = 85°
The ratio of the two sides is given to be 3 : 14
Calculating the angles of each ,the angle with the ratio 3 will be
3/17 x 85 = 15°
The angle with the ratio 14 will be
14/17 x 85 = 70°
Therefore : the measures of the two angles are : 15° and 70°
Last answer for the first question and in not sure about the second one
Use sin to calculate. Sin30=5/x. Sin=opposite/hypotenuse. Cross multiply. Sin30x=5. x=5/sin30. x=10.
