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3 years ago

X- 3y= 1 -3 - 3y= 15

Mathematics

1 answer:

alex41 [277]3 years ago

5 0

Answer:

therefore x=6

y=-5/3

that's it

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In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0

2 years ago

Read 2 more answers

I need help with this question.

Valentin [98]

Answer:

x = 7.5

Step-by-step explanation:

A scale factor of 0.75 means all the dimensions are multiplied by 0.75. When the dimension 10 is multiplied by 0.75, it becomes ...

... x = 0.75 × 10 = 7.5

5 0

2 years ago

A wedding planner purchased both small and large lanterns for a wedding reception. The planner purchased a total of 40 lanterns

Olegator [25]

Answer:

The wedding planner must have purchased 28 small lanterns and 12 large lanterns.

Step-by-step explanation:

8 0

2 years ago

ZA and ZB are complementary angles. If mZA = (7x + 23)° and

Marat540 [252]

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation: 7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

5 0

2 years ago

Solve the equation for the indicated variable<br> x - 3y for y

Colt1911 [192]

Answer:y=x/3

Step-by-step explanation:

x-3y=0

or,x=3y

y=x/3

7 0

2 years ago