Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
Answer:
y = -9.3
if they are complementary it is 45 degrees
if they are supplementary it is 90 degrees
Step-by-step explanation:
-12.7 = y -3.4
-12.7 + 3.4 = y -3.4 + 3.4
-9.3 = y
complementary angles equal to 90 degrees
supplementary angles equal to 180 degrees
vertical angles have same degrees
so 90/2= 45
180/2 =90
Answer:
The required sequence is
. The average rate of change from n = 1 to n = 3 is -7.5.
Step-by-step explanation:
From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.
Here, 

The common ratio of GP is 1/2.



The first term of the sequence is 20.
The formula for sequence is

Where a is first term and r is common difference.
The required sequence is

The formula for rate of change is

The average rate of change from n = 1 to n = 3 is



Therefore the required sequence is
. The average rate of change from n = 1 to n = 3 is -7.5.
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Step-by-step explanation:
=9x+2(2x+3)
=9x+4x+6
=13x+6 I hope so,