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2 years ago

Which criterion can be used to prove ABC and ADC are congruent?

Mathematics

2 answers:

Darya [45]2 years ago

6 0

Answer:

D. ASA

Step-by-step explanation:

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);
Angles BAC and DCA are congruent (from the diagram);
AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent by ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

faltersainse [42]2 years ago

6 0

Answer:

c. ASA

Step-by-step explanation:

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Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save i

dezoksy [38]

Answer:

Ratio [Pam to her brother] = 2:5

Step-by-step explanation:

Given:

Pam saves every two dollar

Her brother saves fives dollar (For every two dollar)

Find:

Ratio [Pam saving and his brothers saving]

Computation:

It is given that if Pam saves $2 her brother saves $5

So,

Ratio [Pam to her brother] = 2/5

Ratio [Pam to her brother] = 2:5

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3 years ago

Carl offered to pay jake $0.25 a square foot to paint his fence. The fence measures 109 feet long and 7 feet wide what is the to

Scorpion4ik [409]

Answer:

Part 1) The total square footage of the fence is $763\ ft^{2}$

Part 2) $\$190.75$

Step-by-step explanation:

Part 1) what is the total square footage of the fence ?

we know that

The area of the fence is equal to

$A=LW$

substitute the values

$A=(109)(7)=763\ ft^{2}$

Part 2) How much will Jake get paid

Using proportion

$\frac{0.25}{1}\frac{\$}{ft^{2}}=\frac{x}{763}\frac{\$}{ft^{2}}\\ \\x=763*0.25\\ \\x=\$190.75$

6 0

3 years ago

Write a recursive rule for an= Зn — 6.

mart [117]

Answer:

Explicit formula: a(n)=3n-6

Recursive formula: a(n)=-3+(n-1)3 <--

Step-by-step explanation:

a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3

<u>Plug values into recursive formula:</u>

a(n)=a1+(n-1)d

a(n)=-3+(n-1)3

8 0

2 years ago

Its proportion <br><br> please help ASAP <br><br> im offering 90 points

shtirl [24]

<h3>Answer 1a :- </h3>

Here we can solve this question using<em> </em><em>Unitary</em><em> </em><em>Method</em><em> </em><em>.</em> As ;

→ In 17hrs the boat travels 452km

→ In 1hr the boat will travel 452km/17

→ In 9hrs the boat will travel 452/17km * 9 = 239.29km

$\rule{200}4$

<h3>Answer 1b:-</h3>

→ A car can travel 156km on 13L gasoline .

→ It will travel 1km on 13/156L of gasoline .

→ It will travel 480km on 13/156*480L = 40L of gasoline .

$\rule{200}4$

<h3>Answer 2a :-</h3>

→ A boat can go 180 miles on 60L gasoline.

→ It will go 1mile in 60/180L of gasoline.

→ It will go 306 miles in 60/180*306L = 102L of gasoline .

$\rule{200}4$

<h3>Answer 2b :-</h3>

→ On 51L of gasoline a car can go 408km

→ On 1L of gasoline car will go 408/51 km

→ On 11L of gasoline it will go 408/51*11L = 88km

$\rule{200}4$

6 0

2 years ago

2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put

Zanzabum

You would do 20 • 3=60 and the you would add 20 • 1/5=4 so, your total is 64in.

7 0

2 years ago