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°
The corner of a living room is called the Vertex
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Answer:
s ≥ 911
Step-by-step explanation:
Let
s = number of cans Shane could collect
Abha collected 178 more cans than Shane did.
Abha = s + 178
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling
Number of cans collected by Shane + number of cans collected by Abha ≥ 2000
s + 178 + s ≥ 2000
2s + 178 ≥ 2000
2s ≥ 2000 - 178
2s ≥ 1,822
Divide both sides by 2
s ≥ 1,822 / 2
s ≥ 911
the units of measurement for the composite function f(w(h)) are - furniture/weeks
<h3>
What are composite functions?</h3>
function composition is an operation. that takes two functions f and g, and produces a function h = g . f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.
- Let as consider the work f(t) approximates how numerous pieces of furniture he paints per hour.
- It implies unit of this work is furniture/hours. The work w(h) speaks to how numerous hours per week Joey spends portray the pieces of furniture.
- It implies unit of this work is hours/weeks. We have to be discover the units of estimation for the composite work f(w(h)).
- It the work f(w(h)), to begin with we ought to apply the work w(h) after that f(t).
The units of measurement for the composite function f(w(h)) is furniture/weeks.
To learn more about composite function from the given link
brainly.com/question/13667340
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