Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Answer:
Example 11 answer = 12
Step-by-step explanation:
40, 36, 32, 28
is an arithmetic sequence.
The first term (a) is 40
The common difference (d) is -4
The formula for finding the nth term (
in an arithmetic sequence is;
= a + d(n - 1)
= 40 + -4(8 - 1)
= 40 - 28 = 12
Here we have some problems about circles, the solutions are:
- a) 490.6 yd^2
- b) x = 15
- c) x = 27
<h3>
How to find the area of a circle?</h3>
We know that for a circle of diameter D, the area is given by:
A = pi*(D/2)^2
where pi = 3.14
In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:
A = 3.14*(25yd/2)^2 = 490.6 yd^2
<h3>How to find the value of x?</h3>
<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:
180° = 37° + (9x + 8)°
180° - 37° - 8° = (9x)°
135°/9° = x = 15
So the value of x is 15.
For the last image:
Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>
270° = 54° + (2x + 21)° + (5x + 6)°
Now we solve this for x:
270 - 54 - 21 - 6 = 2x + 5x
189 = 7x
189/7 = x = 27
x is equal to 27
If you want to learn more about circles, you can read:
brainly.com/question/25306774
The answer is isosceles triangle
Answer:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.
Step-by-step explanation: