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3 years ago

The sum of two numbers is 48 . The larger number is 12 more than the smaller number. What are the numbers?

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

5 0

Answer:

Smaller is 18 and larger be 30

Step-by-step explanation:

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In order to prove that traingle ADC is congruent to triangle ABC by SAS, we would need to show that

IRISSAK [1]

Answer:

D) Angle DAC is congruent to Angle BAC

Step-by-step explanation:

Given:

The triangles ABC and ADC are congruent by SAS postulate.

SAS postulate means two corresponding sides are congruent to each other and the included pair of angles are also congruent to each other.

From the figure, consider the triangles ABC and ADC.

AB = AD (Given)

AC = AC ( Reflexive property. Side AC is a common side to both triangles)

Now, the pair of angles included between these two pair of sides are angle BAC and angle DAC.

So, in order to prove the two triangles congruent by SAS postulate, we need to prove angle DAC congruent to angle BAC. Therefore, the correct option is option D.

8 0

3 years ago

Can someone please help me

xxTIMURxx [149]

Answer:

. .,....,........

I'm sorry. I don't know

7 0

2 years ago

A mixture of chlorine and water contains a total of 60 gallons. There are 30 gallons of pure Chlorine in the mixture. (I) what p

ser-zykov [4K]

60 gallons of the whole thing, chlorine and water mixed.

one may note that 30 is half of 60, namely 50% of 60.

if there are 30 gallons of chlorine, 60 - 30, the leftover is 30 gallons, and that must be water.

so 50% is chlorine, and the other 50% is water.

5 0

3 years ago

Which function has a range of y<3? y=3(2) y=2(3) O y=-(2)* +3 O y= (2)* - 3

VARVARA [1.3K]

option C is correct.

Step-by-step explanation:

If a function is defined as

$f(x)=a^x$ where, a>0, then the range of the function is greater than 0.

$a^x>0$ .... (1)

Option A: Using inequity (1),

$2^x>0$

Multiply both side by 3.

$3(2^x)>0$

The range of first function is y>0. Therefore option A is incorrect.

Option B: Using inequity (1),

$3^x>0$

Multiply both side by 2.

$2(3^x)>0$

The range of second function is y>0. Therefore option B is incorrect.

Option C: Using inequity (1),

$2^x>0$

Multiply both side by -1.

$-2^x$

Add 3 on both the sides.

$-2^x+3$

$y$

The range of first function is y<3. Therefore option C is correct.

Option D: Using inequity (1),

$2^x>0$

Subtract 3 from both the sides.

$2^x-3>-3$

$y>-3$

The range of second function is y>-3. Therefore option D is incorrect.

7 0

3 years ago

Aron rides his bike 12 miles in 3 hours. if he rides at a constant speed, select the answers below that are equivalent ratios to

timurjin [86]

Answer:

Step-by-step explanation:

he is riding at a rate of 4 in one and the others do not match 4 in 1

Hope this helps

3 0

3 years ago

Read 2 more answers