Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:



Cross multiply


Add 2 to both sides


Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77
Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
Answer:
3a (2b-3c)
Step-by-step explanation:
9 (8- - 125)
should equal 1197
Answer:
$318
Step-by-step explanation:
since sales tax is 6%, multiply 300 by 1.06 to find the total cost
Answer:
the answer is 4y-2
Step-by-step explanation:
To simplify any algebraic expression you need to add liketerms.
In this equation, the liketerms are y and 3y.
3y+y= 4y
We are left with 4y-2; we cant go any further, because 4y and -2 are not liketerms.