Answer:
3m and 9m
Step-by-step explanation:
length of the rectangle = 2w+3
width of rectangle = w
area = L*W
if area = 27m²
then (2w+3)w=27
=2w²+3w-27=0
using factorization w= 3 or -4.5
w=3m
L=9m
Answer:
28
Step-by-step explanation:
First, you start with 11-4, which equals 7.
Then, you multiply 7x8 which equals 56.
Lastly, you divided 56 by 2, getting 28.
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
Answer:
Step-by-step explanation:
Answer: it is C because it is true of the type of angle in this lessonc. It measures half the difference of the arcs it intercepts.
Answer:
4^4
Step-by-step explanation:
the answer is 4 to the power of 4