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3 years ago

You are given parallelogram ABCD and side AB is congruent to side DC.

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

ABM=CDM-DMC=BAM alternate interior angles

AMB=CMD verticle angles

triangle AMB=CMD by ASA

A=c CPTC

ABD=BDC, BAC=ACD, ADB=DBC by CPCTC

AM=CM def of a Parallelogram

△

RPQ is an isosceles triangle. C is the midpoint of line RQ- Given

RPC=QPC- construction

PC=PC reflective property

∠

RPC= QPC- SAS

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Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

Ronch [10]

Part a) Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For $x\leq35$

$E=14x$

therefore

the answer part a) is

$E=14x$

Part b) Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

$T=14*35+20y$

$T=\$490+20y$

therefore

the answer part b) is

$T=\$490+20y$

Part c) Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

$35\ hours=\$490$

$\$610-\$490=\$120$

Divide $\$120$ by $\$20$ ----> to obtain the hours of overtime

$\frac{120}{20}=6\ hours\ of\ overtime$

Allison works

$35+6=41\ hours$

$Regular=35\ hours\\ Overtime=6\ hours$

therefore

the answer part c) is

$Regular=35\ hours\\ Overtime=6\ hours$

4 0

3 years ago

Define the following terms

Gennadij [26K]

Answer:

Dividend- The number that is divided is called the dividend

Divisor- a number that divides a integer ( It is the number that is divided by the Dividend)

Quotient- is the result when dividing.

Remainder- is the amount that is left over after dividing

Step-by-step explanation:

Example

36 ÷ 6 = 6

36 is the Dividend

6 is the Divisor

6 is the Quotient

No remainder

Hopes this helps!

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BabaBlast [244]

Answer:

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Step-by-step explanation:

4 area of triangle = 60

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lawyer [7]

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Jobisdone [24]

15.05 feet in 7 min

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