Answer:
∠PTQ = 124°
Step-by-step explanation:
∠QPT = 90° - 62° = 28°
∠PQT = 28°
∠PTQ = 180° - 28° - 28° = 124°
Hey!
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Steps To Solve:
~Subtract n to both sides
3 - n = n + 4 - n
~Simplify
3 - n = 4
~Subtract 3 to both sides
3 - n - 3 = 3 - 4
~Simplify
n = -1
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Answer:
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Hope This Helped! Good Luck!
The new point would be at 4, -5
Answer:
23 yellow, 30 pink and 12 blue balls
Step-by-step explanation:
Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.
<em>From 1st sentence:</em>
y +p +b +x= 90
<em>"</em><em>60</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>pink</em><em>"</em><em> </em>
➜ y +b +x= 60
Given that 25 are black, x= 25.
<em>"</em><em>67</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>yellow"</em>
➜ p +b +x= 67
Subst. x= 25 into the above equations:
y +p +b +25= 90
y+ p +b= 65 -----(1)
y +b +25= 60
y +b= 35 -----(2)
p +b +25= 67
p +b= 42 -----(3)
I will rewrite the 3 equations for better clarity:
y +p +b= 65 -----(1)
y +b= 35 -----(2)
p +b= 42 -----(3)
(1) -(2):
p= 65 -35
p= 30
(1) -(3):
y= 65 -42
y= 23
Substitute p= 30 and y= 23 into (1):
23 +30 +b= 65
b= 65 -53
b= 12
Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.
