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3 years ago

What is the answer to the problem??

Mathematics

1 answer:

Archy [21]3 years ago

6 0

You would divide the two numbers to get 54

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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

Solve the following system of equations algebraically. y=2x-12 y=x+22+3

kirill [66]

Answer:

x=37

Step-by-step explanation:

because

y=y

or as, 2x-12=x+22+3

or as, 2x-x=12+22+3

or as, x = 37

4 0

3 years ago

Solve for y in terms of x. (Isolate y) x-y=6

meriva

Y = x - 6

Please let me know if you need explanation.

8 0

3 years ago

Find the solution set of the inequality: 8x+2>34

Sholpan [36]

8x + 2 > 34

-2 -2

8x > 32

8x (÷ 8) > 32 (÷ 8)

x > 4

so x can equal any number from 5 and infinity

Hope I helped !!! :)

5 0

4 years ago

PLS HELP me ASAP FOR 11 (SHOW WORK!!)

Elodia [21]

2.5/0.2=12.5
2.5 times 12.5=31.25
The actual height of the building is 31.25 cm

7 0

3 years ago

Read 2 more answers