∠1 and ∠2 are RIGHT ANGLES, VERTICAL ANGLES, and SUPPLEMENTARY ANGLES.
Hope this helps!
Answer:
m<RPQ = 22°
Step-by-step explanation:
Given:
m<SRQ = 90°
PS = PQ
m<SQR = 46°
Required:
m<RPQ
Solution:
m<SQR + m<SRQ + m<RSQ = 180°
Substitute
46° + 90° + m<RSQ = 180°
m<RSQ = 180° - 136°
m<RSQ = 44°
Find m<PSQ:
m<PSQ = 180° - m<RSQ (Angles on a straight line
m<PSQ = 180° - 44° (Substitution)
m<PSQ = 136°
Find m<RPQ:
∆QSP is an isosceles triangle with two equal base angles. Therefore:
m<RPQ = ½(180° - 136°)
m<RPQ = 22°
Answer:
11, 14, 17, 20
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Consider 2, 6, 18, 54
6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic
Consider 3, 6, 12, 24
6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic
Consider 11, 14, 17, 20
14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic
Consider 7, 11, 13, 18
11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic
The arithmetic sequence is 11, 14, 17, 20
Let's use Unitary method to solve the question ~
Therefore, 1 mm corresponds to 5 mile according to the map.
so, correct choice is ~
Answer:
<h2>$4200 </h2>
Step-by-step explanation:
Step one:
given data
we are told that Terry's base salary is $2100 per month.
in addition 5% on sales greater than $40000.
let the monthly salary be M(s)
and let "s" be the amount of sales made
his monthly commission =0.05s
Step two:
The expression for his monthly earning is given as
M(s)=0.05s+2100 where s>40000
hence for a month when s=42000
M(s)=0.05(42000)+2100
M(s)=2100+2100
M(s)=4200
<u>Therefore for an instance when s=42000 his earnings for the month will be $4200 </u>
