In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of [tex] \angle[/tex] XYZ and [tex] \angle[/tex] XZY respectively. Prove that YQ = ZP.
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![In The Adjoining Figure, XY = XZ . YQ And ZP Are The Bisectors Of [tex] \angle[/tex] XYZ And [tex] \angle[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/30qMjiXACddTBGM9obS1hrNyOJqk1wk5.jpeg)
Answers
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\, XY=XZ[/tex] Given
[tex]2) \text{ $ m\angle Y= m\angle Z$}[/tex] Isosceles Triangle Theorem
[tex]\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}[/tex] Angle Addition
[tex]\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}[/tex] Given
[tex]5) \text{ $m\angle XYQ=m\angle QYZ$}[/tex] Definition of Bisector
[tex]\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}[/tex] Substitution
[tex]7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}[/tex] Angle Addition
[tex]8)\text{ $ZP$ bisects $\angle XZY$}[/tex] Given
[tex]\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }[/tex] Definition of Bisector
[tex]\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}[/tex] Substitution
[tex]11)\text{ } 2m\angle QYZ=2m\angle PZY[/tex] Substitution
[tex]12)\text{ }m\angle QYZ=m\angle PZY[/tex] Division Property of Equality
[tex]13)\text{ } YZ=YZ[/tex] Reflexive Property
[tex]14)\text{ } \Delta YZP\cong\Delta ZYQ[/tex] Angle-Side-Angle Congruence*
[tex]15)\text{ } YQ=ZP[/tex] CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
this is your answer. look at this once.
![In The Adjoining Figure, XY = XZ . YQ And ZP Are The Bisectors Of [tex] \angle[/tex] XYZ And [tex] \angle[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/GFtlllDMZoCZmDqMZNG6jOzswMb9OVi1.jpeg)
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
b
Step-by-step explanation:
the the area of the square is 36, because 6*6=36
the area of the semicircle on the top is 14.135, because the formula for area is pi R^2, so its 3.14*9 and then/2.
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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You bought the new PS5 and 4 games for $660. the PS5 cost $499 and each game cost the same amount. Write an equation that can be used to solve how much each game cost and solve the problem.
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X=40.25
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rename 1/2 and 2/3 as fractions with denominators of 6.then add the renamed fractions. write the sum as a mixed number.
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Answer:
1 and 1/6
Step-by-step explanation:
To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.
2 goes into 6 three times.
1 times 3 is 3
and 2 times 3 is 6
so 1/2=3/6
3 goes into 6 twice
2 times 2 is 4
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3+4=7 so:
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14x=84
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Answer:
it on web I had this question once
Step-by-step explanation:
put it in web and you be find
The amount that Sam get (the share of Sam) is £120
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
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Same thing happens for 3 quantities and more such quantities.
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Oli's share = 3xSam's share = 2xTim's share = 1x = xTheir total evaluates to 360 (in euros).
(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
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Oli's share = 3x = 3×(60) = £180Sam's share = 2x = 2×(60) = £120Tim's share = 1x = x = £60Thus, the amount that Sam get (the share of Sam) is £120
Learn more about ratio here:
brainly.com/question/186659
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Answers
Answer:
75%
Step-by-step explanation:
25% of 120=120÷4=3
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Check:
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Answer:
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Step-by-step explanation:
Pls mark me brainliest
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
Your answer is -6.
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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a
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b
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Step-by-step explanation:
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Step-by-step explanation:
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