Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
I'm taking "part 3" to mean the 3rd of the posted questions.
If
, then


Then when
, we get
.
Answer:
The distance from hot air balloon to the ground
.
Step-by-step explanation:
Labelled diagram of given scenario is shown below.
Given that,
An angle of elevation of Hot air balloon by Angie is
°.
When she stepped back
then angle of elevation was
°.
Height of Angie is
.
To find: How far off the ground is a hot air balloon.
So, from figure
Height of Angie 
In triangle Δ
,
⇒ 
⇒
....................(1)
Now, In triangle Δ
⇒ 
⇒ 
Here, substituting the value
from Equation (1) we get,


⇒
⇒ 
⇒
Now, finding the value of
from equation (1)

Therefore Length of
= 
.
Hence,
The distance from hot air balloon to the ground
.
Which of these numbers are divisible by 9? 7,625 4,932 9,180 2,969 9,180 and 4,932 2,969, 9,180, and 7,625 9,180 and 7,625 2,969
Andreas93 [3]
Answer:
The answer to your question is below:
Step-by-step explanation:
A number is divisible by 9 if the sum of all the individual digits is evenly divisible by 9.
7,625 example 7 + 6 + 2 +5 = 20 it's not divisible by 9
4,932 4 + 9 + 3 + 2 = 19 it's not divisible by 9
9,180 18 it is divisible
2,969 26 it's not divisible by 9
9,180 18 it is divisible
4,932 18 it is divisible
2,969 26 it's not divisible by 9
Answer:
62 pages
Step-by-step explanation:
The total cost function is given as below:
C= 0.06p + 12.75
C=total cost for printing= $16.47
0.06= variable printing cost per page
p=number of pages prinited=the unknown
12.75=monthly fixed printing cost
16.47=0.06p+12.75
16.47-12.75=0.06p
3.72=0.06p
0.06p=3.72
p=3.72/0.06
p=62 pages