Answer:
A translation, followed by a dilation with a certain scalefactor, will map circleE onto circleC, thus proving that the circles are similar.
Step-by-step explanation:
A circle is defined as the set of points equidistant from a given point. Which means any circle is defined by only one length - the radius.
Proof:
• Move the center of the smaller circle (with centre E) onto the center of the larger circle (with centre C).
Translate circle E, by vector EC, onto circle C. The circles are now concentric (both circles have the same center).
• A dilation is needed to increase the size of circle E to coincide with circle C.
A specific scalefactor (number) is needed, so, that when you multiply radius r1 with that factor, it will result in radius r2.
• A translation, followed by a dilation with a certain scalefactor, will map circleE onto circleC, thus proving that the circles are similar.
Answer:
step 1. <2 + 40° = <1
step 2. <1 + 72° = 180°
step 3. <1 = 108°
step 4. <2 = 108° - 40° = 68°.
can be rewritten as
to the
power:
Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:
This is equivalent to
, so now, we just simplify:
So:
No triangle formed
Solution:
Given data:
One angle is 45°
Another angle is 108°
One side is 7 cm
To find how many triangles are formed for the given data.
Let the unknown side of a triangle be x°.
Sum of all the sides of a triangle = 180°
45° + 108° + x° = 180°
⇒ x° = 180° – 45° – 108°
⇒ x° = 27°
There is no such angle can be formed with 27° in the given image.
Hence there is no triangle can be formed.
Answer:
y = - x + 8
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = -x + b Input Slope
Step 3:
7 = - 1 ( 1 ) + b Input x and y
Step 4:
7 = - 1 + b Multiply
Step 5:
b = 8 Add 1 on both sides
Answer:
y = - x + 8
Hope This Helps :)