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Bad White [126]
3 years ago
14

The formula for distance is given as distance = speed x time. Use the formula to find:

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0
You just put the numbers in the formula 3x30 = 90 km
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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
H<br> А<br> F<br> 50°<br> 19x<br> 10x - 5<br> G
Vsevolod [243]

Answer:

value of x = 5

Step-by-step explanation:

plz mark my answer as brainlist plzzzz vote me

6 0
3 years ago
What is the answer to 3/2•5/4•7/3
Tom [10]
If you put it into a calculator, you get 35/8 as a fraction and you can change it to a decimal and get 4.375.
3 0
4 years ago
3. A penny is made by combining 0.1 g of a copper alloy that costs $5.50 per kilogram (1000 grams) with
lbvjy [14]
.0001*5.5 + 1.5*x = 2
x=1.33 kg
6 0
3 years ago
Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks
shepuryov [24]

Answer:

the correct answer would be A. the mean is when you add up all of them and divide it by how many numbers there are which in this case is 5. and the median is the number in the middle, in this case 20, therefore when you add up all numbers in A ,you get 105 and you divide it by 5 which gives you 21. :))

6 0
3 years ago
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