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DedPeter [7]
8 months ago
5

Given:m<6=m<8b l l cprove:a l l b

Mathematics
2 answers:
pochemuha8 months ago
6 0
The other person who answered should be right!
makvit [3.9K]8 months ago
5 0

1) From the data, we can see that

\angle6=\angle8

is given.

2) Next,

\angle6=\angle7

since they are alternate angles.

3) By substitution, these means that

\angle7=\angle8

4) Finally, a || b since

\angle7=\angle8

this is because, angle 7 and angle 8 are corresponding angles.

Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6

4 and 8, 1 and 5, 3 and 7

In our case, 7 and 8 are corresponding angles

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Answer:

\frac{1}{4}

Step-by-step explanation:

Think about it in terms of 4 quarters to equal the dollar. 0.250= 1 quarter (25). The answer is then \frac{1}{4}

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A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
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PLEASE HELP ILL MARK BRAINLIEST !!!
Alexus [3.1K]

Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

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3 years ago
Which of the following is one branch or part of the government?
baherus [9]

Answer:

Congress

Step-by-step explanation:

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2 years ago
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