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2 years ago

Find the value of n.

Mathematics

1 answer:

MakcuM [25]2 years ago

8 0

Answer:

im pretty sure it would be 27 degrees

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Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)

Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

In triangle ABC:

$|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}$

In triangle MNO:

$|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }$

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

$|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8$

Hence O = (4, 8)

3 0

3 years ago

A fruit stand sells 6 oranges for $3 and 3 grape fruit for $2.40 .Lionel buys 10 oranges and 11 grapefruits. how much does Lione

Flura [38]

6oragnes=3dollars
divide 6
1oragne=0.5dollar

3grapefruit=2.4dollar
divide3
1grapefruit=0.6dollar

10 oranges and 11 grapefuites
(10 times 0.5)+(11 times 0.6) =
5+6.6=11.6

answer is $11.6

8 0

4 years ago

Read 2 more answers

What value(s) of x will make each equation below true?

kvasek [131]

Answer:

a X=0

b X=0

c X= undetermined

5 0

3 years ago

Read 2 more answers

Richard has 4 1/2 ft of wood. He needs to cut the wood into 5 equal pieces. Each piece of wood will be _____?

mina [271]

Answer: 22 1/2

Step-by-step explanation: first convert 4 1/2 into a mixed # = 9/2

The divide that by 5 (mult by reciprocal)

Reciprocal is the # flipped so,

9/2 x 1/5

= 45/2

divide 45 by 2

5 0

3 years ago

Joaquin has $1,300 in the bank and has investments worth $4,000. He also has $7,000 worth of credit card debt. What is Joaquin's

svetlana [45]

The answer to this question would be: -$1,700

In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:

Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300

The negative value should be
$7,000 worth of credit card debt
Total positive value =$7000

Then the net worth should be: $5300 - $7000= -$1700

7 0

4 years ago