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2 years ago

9

Sarah thinks these two lines are parallel but is not sure. How could she use angles to help her check?

2 answers:

DiKsa [7]2 years ago

7 0

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

Step-by-step explanation:

SashulF [63]2 years ago

3 0

Answer:

by adding a transverse line to it interesting both of them

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In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

$\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ$ Side-Angle-Side Congruence*

$\displaystyle 12)\text{ } PC=BQ$ CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

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2 years ago

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Expand and simplify 5(3x+2)-2(4x-1)

blsea [12.9K]

5(3x+2)-2(4x-1)

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2 years ago

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Harman [31]

Step-by-step explanation:

☄ $\underline{ \underline{ \sf{Given}}}:$

Length ( l ) = 4 cm
Width ( w ) = 2 cm
Height ( h ) = 5 cm

☄ $\underline{ \underline{ \sf{To \: find}}} :$

Total surface area of a cuboid

❅ $\underline{ \underline{ \text{Solution}}}:$

✑ $\boxed{ \text{TSA = 2lw + 2lh + 2hw}}$

Plug the known values :

⟼ $\sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}$

⟼ $\sf{16 + 40 + 20}$

⟼ $\boxed{\sf{76 \: {cm}}^{2} }$

$\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \: {cm}}^{2} }}}$

Hope I helped !♡

Have a wonderful day / night ! ツ

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2 years ago

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Gnesinka [82]

Answer:

It is 18

Step-by-step explanation:

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After that you simplify then solve and you'll get 18

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