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SVETLANKA909090 [29]
3 years ago
6

What are the measures of angle B and D

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

n=10

Step-by-step explanation:

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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
Find the second, fourth, and eleventh terms of the sequence A(n) = 5 + (n - 1)(-3)​
klio [65]

Answer:

2nd: 2

4th: -4

11th: -25

Step-by-step explanation:

When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:

A(2) = 5 + (2 - 1)(-3)

A(2) = 5 + (1)(-3)

A(2) = 5 - 3

A(2) = 2

To get the 4th term you substitute in 4:

A(4) = 5 + (4 - 1)(-3)

A(4) = 5 + (3)(-3)

A(4) = 5 - 9

A(4) = -4

And we do the same for the 11th term:

A(11) = 5 + (11 - 1)(-3)

A(11) = 5 + (10)(-3)

A(11) = 5 - 30

A(11) = -25

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=15%20%5Ctimes%2094%20-%2089%20%5Cdiv%205" id="TexFormula1" title="15 \times 94 - 89 \div 5" al
lakkis [162]
1410-89/5
1410-17.8= 1392.2
7 0
3 years ago
states that “providing shelter to Jews was a crime punishable by death.” How does this statement contribute to the development o
Svetach [21]

Answer:

United states

Step-by-step explanation:

Hope that helped

5 0
3 years ago
I need the answer please
quester [9]

Answer:

Approximate area is 190cm^2

5 0
4 years ago
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