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ki77a [65]
3 years ago
9

Angles 1 and 2 are complementary and congruent. What is the measure of angle 1

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

45 i think i dont know

Step-by-step explanation:

m

∠

2

=

x

holds true.

Complementary angles have a sum of

90

˚

. Thus, if

∠

1

and

∠

2

are complementary,

m

∠

1

+

m

∠

2

=

90

Substitute the equivalent forms of these angle measurements

(

x

,

x

)

.

x

+

x

=

90

Solve algebraically.

2

x

=

90

x

=

45

Each angle is

45

˚

.

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

1)y=-6x-14   ---------(i)

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Substitution method:

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2 years ago
Casper bought some pencils at .50 each. He had $3 left after the purchase. If he wanted to buy the same number of note pads at .
Nesterboy [21]

<u>Answer:   </u>

Required linear equation to get number of pencils purchased by Casper is 3x – 45 = 0 where x represents number of pencils and number of pencils Casper purchased = 15.

<u>Solution: </u>

Let’s assume number of pencils purchased by Casper = x

As given price of each pencil is 0.50 , so price of x pencils = 0.50x = 0.5x

Also given that she was left with $3 after buying x pencils.

So initial amount which was with casper = price of x pencils + amount he was left with.

=> Initial amount with Casper = 0.5x + 3    ------(1)

Now consider second scenario  

If Casper wanted to buy same number of notepad at price of 0.80 each , then

Total amount need for x notepad = 0.80x = 0.8x

But its also given that he will be short of $1.5.

So initial amount with Casper = 0.80x – 1.5 ------(2)

On equating initial amount with casper using equation (1) and equation(2) we get

0.5x + 3 = 0.8x – 1.5

=> 0.8x – 0.5x = 3 + 1.5

=> 0.3x = 4.5

=> 0.3x – 4.5 = 0  

=> 3x – 45 = 0

So linear equation for x that is number of pencils he purchased is 3x – 45 = 0 where variable x represents number of pencils.

On solving the linear equation 3x – 45 = 0 for x we get

3x = 45

x = 15

Hence required linear equation to get number of pencils purchased by Casper is 3x – 45 = 0 where x represents number of pencils and number of pencils Casper purchased = 15.

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