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2 answers:
Answer:
Option D. 150°
Step-by-step explanation:
In an isosceles triangle WXY, ∠YWX and ∠YXW are the base angles.
YZ is the bisector of ∠WYX.
m∠XYZ = 15x° and m∠YXZ = (2x + 5)°
We have to find the measure of ∠WYX.
Since ΔWXY is an isosceles triangle therefore YZ which is a bisector of ∠WYX will be perpendicular to XW.
Therefore ∠YXW + ∠XYZ + ∠YZX = 180°
15x + 2x + 5 + 90 = 180
17x + 95 = 180
17x = 180 - 95 = 85
x = 85/17 = 5
Therefore ∠WYX = 2×∠XYZ = 2×(15x) = 30×5 = 150°
Answer is ∠WYX = 150°
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Answer:
AJ picks 252 pounds
Step-by-step explanation:
Lets define the following letters for each name:
A is AJ
B is Blaze
L is Laurence
J is Jack
Now we will analyze the phrases one by one:
Blaze picks three times as many as Laurence means:
Jack picks twice as many as Blaze.
, ans using the previous one lets substitute B with 3 * L
Aj picks three times as many as Laurence.
The total weight of the oranges is 1092 pounds.
We replace A, B & J in the last equation, with the previous results:
, grouping using L as common factor:
, then isolating L:
pounds (for Laurence)
Finally replacing L in the previous equations:
pounds (for Aj)
pounds (for Blaze)
pounds (for Jack)