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3 years ago

Describe the location of the point having the following coordinates.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Answer:

a graph can be divided into 4 quadrants.

a nonzero abscissa lies on the x axis in the first and second quadrants.

a negative ordinate lies on the y axis in the third and fourth quadrants.

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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

3 years ago

Read 2 more answers

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from th

kotykmax [81]

B) 405 m
tan(5) = x/4629
4629tan(5) = 404.9
Round up
x=405 m

4 0

3 years ago

How many ways can you make 65 cents using nickels dimes and quarters

Neporo4naja [7]

Answer:

14 ways in all.

Step-by-step explanation:

A. If you use 2 quarters, you have to make the remaining 15� with either no

dimes or 1 dime and the rest in nickels.

That's 2 ways.

B. If you use 1 quarter, you have to make the remaining 40� with either no

dimes, 1 dime, 2 dimes, 3 dimes or 4 dimes and the rest, if any, in nickels.

That's 5 more ways.

C. If you don't use any quarters, you have to make the entire 65� with either

0, 1, 2, 3, 4, 5 or 6 dimes and the rest in nickels.

That's 7 more ways. 2+5+7 = 14 ways in all.

4 0

4 years ago

Which statement is FALSE?

algol13

Answer:

F)FALSE

G)FALSE

H) TRUE

J)FALSE

4 0

3 years ago

Solve for the unknown: <br><br> 2z - (z-1) = 5z - 15

faltersainse [42]

Z equals 4. See attached

8 0

3 years ago

Read 2 more answers