Answer:
-5x=-50
x=-10
Step-by-step explanation:
The answer is 22/5
You multiply 5 and 4, which you get twenty, then you add 2 and you get 22. Divide that by 5, and you get 22/5.
To double check, divide 22 by five and you should get 4.4, or 4 2/5 as a fraction
Answer:
k
Step-by-step explanation:
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
Answer:
The correct answer is option D. -126
Step-by-step explanation:
<u>Points to remember</u>
<u>Composite functions</u>
f(x) and g(x) be the functions then,
(f - g)(x) = f(x) - g(x)
<u>To find the value of (m - n)(-5)</u>
Let m(x) = x³ and n(x) = √ (6 + x)
(m - n)(x) = m(x) - n(x)
= x³ - √( 6 + x)
(m - n)(-5) = m(-5) - n(-5)
= x³ - √( 6 + x)
= (-5)³ - √( 6 + -5)
= -125 - √1
= -125 -1
= -126
The correct answer is option D. -126
