Answer:
The area of triangles are 16 cm^2 and 49 cm^2
Step-by-step explanation:
we know that
If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller triangle in square centimeters
y ----> the area of the larger triangle in square centimeters
we know that
so
-----> equation A
----> equation B
solve the system by substitution
substitute equation A in equation B
solve for y
Find the value of x
therefore
The area of triangles are 16 cm^2 and 49 cm^2
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
Answer:
see below
Step-by-step explanation:
lim x/ (x-4)
as x approaches 4 from the left
let x = 3.9
3.9/ (3.9-4) = -39
Let x = 3.99
3.99/ (3.99 - 4) =-399
As we get closer to 4 from the left we get larger and larger so we will get closer to - negative infinity
The limit as shown in the graph is negative infinity
The vertical asymptote is x=4
The horizontal symptote is y =1
N/4 < -1 — we can multiply both sides with 4, so we dont have to deal with fractions.
N < -4
So, our N goes left from -4 on a number line.
-10x<-100 — divide both sides by 10
-x < -10
x > 10
X is from 10 rightwards.
5x>20 — divide both sides by 5
x > 4
X is rightwards from 4.
Answer:
C) 154
Step-by-step explanation:
This is the formula A=πr^2 so, 3.14*7^2=153.86 so glad to help you this is my 100th math q!!!
