PQRS is a parallelogram Given
SR=PQ property of parallelogram
m∠S=m∠Q property of parallelogram
SP=QR property of parallelogram
XP=RY given
SP-XP=QR-RY substitution
SX=QY segment subtraction
ΔSRX is conggruent to ΔQPY SAS theorem (side-angle-side)
XR=YP CPCTC (corresponding parts of congruent triangles are congruent)
Answer:
27°
Step-by-step explanation:
XWY and VWY are supplementary
∴ XWY + VWY = 180°
∴ XWY = 180° - VWY
XYW and ZYW are supplementary
∴ XYW + ZYW = 180°
∴ XYW = 180° - ZYW
ΔXWY is a right triangle at X
∴ XWY + XYW = 90°
∴ 180° - VWY + 180° - ZYW = 90°
∴ 180° - 6x + 180° - 4x = 90°
∴ 360° - 10x = 90°
∴ 10x = 270°
∴ x = 27°
Lantana needs $1776 to reach its goal of $14000
3d - e = 7d + e = 5 ⇒ 3d - e = 5
7d + e = 5
3d - e = 5
7d + e = 5 +
-----------------------
10d / = 10
10d = 10
d = 10/10
d = 1
7d + e = 5
7×1 + e = 5
7 + e = 5
e = 5 - 7
e = -2
Answer: The answer is minimum 33 days.
Step-by-step explanation: Given that Daniel has a beautiful rose garden and she wants to know how fast her rose garden will grow. Also given that
Height of her roses at present is given by
And, height of the roses that increases each day is
We need to find the number of days in which her roses will be a height of minimum 24 inches.
Let, 'x' be the number of days taken by the roses to be minimum 24 inches tall.
So, we have
Thus, the roses will take minimum of 33 gays attain a height of no less than 24 inches.
