Answer:
<QRS = 55 degrees
Step-by-step explanation:
Given the following
m∠QRS=(10x−1) ∘
∠RPQ=(3x+17) ∘
m∠PQR=(2x+12)
External angle m<QRS = 10x-1
Interior angles are m∠RPQ=(3x+17) ∘ and m∠PQR=(2x+12)
Using the law that the sum of interior angle is equal to exterior
10x + 1 = 3x+17 + 2x + 12
10x+1 = 5x+29
10x-5x = 29-1
5x = 28
x = 28/5
x = 5.6
Get m<QRS
Recall that <QRS = 10x - 1
<QRS = 10(5.6) - 1
<QRS = 56-1
<QRS = 55 degrees
Good morning,
Answer:
<h2>r = 4 cm</h2>
Step-by-step explanation:
V = h × (base area)
= 12 × (π×r²)
then 192π = 12π×r²
Then 192 = 12×r²
Then r² = 192÷12 = 16
Then r = √16 = 4.
:)
Answer:
t5=23 t8=35
Step-by-step explanation:
t5=?
t8=?
t10=43
d=4
tn=a+(n-1)d
t10=a+(10-1)4
43= a+(9)4
43=a+ 36
a=7
t5=7+(4)4
t5=7+16
t5=23
t8=7+(7)4
t8=7+28
t8=35
4+8 is 12 so yes it is correct!!!
