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3 years ago

Will give BRAINLIEST if you help me out

Mathematics

1 answer:

Volgvan3 years ago

5 0

The x coordinate P is on is -1.5

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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

6 0

2 years ago

Read 2 more answers

Determine if -1, 1, 4, 8 is a geometric sequence

Vedmedyk [2.9K]

ANSWER

No, because there is no common ratio

EXPLANATION

The given sequence is

-1, 1, 4, 8

If this sequence is geometric, then there should be a common ratio among the consecutive terms.

$\frac{1}{ - 1} \ne \frac{4}{1} \ne \frac{8}{4}$

Hence the sequence

-1, 1, 4, 8

is not a geometric sequence.

3 0

3 years ago

Read 2 more answers

State whether the following is perpendicular or parallel y=(1/2)×y=-2×+9

Rom4ik [11]

Answer:

parallel!

Step-by-step explanation:

if you insert the equation into demos there parallel

3 0

2 years ago

WILL GIVE BRAINLIEST

brilliants [131]

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

7 0

3 years ago

A mechanic charged $320.28 to repair a car. The price included charges for 3 hours of labor and $115.46 for parts. How much does

Viefleur [7K]

Answer:

$68.27 for 1 hour

Step-by-step explanation:

$320.28 - $115.46 = $204.82

$204.82 / 3 hours of labour = $68.27 for 1 hour

4 0

3 years ago