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Ne4ueva [31]
3 years ago
13

Please help me with this homework question

Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Answer:

∠ADB≅∠ABC by the Alternate Interior Angles Theorem

∠CAD≅∠ACB by the Alternate Interior Angles Theorem

∠BAD and ∠ADV are supplementary by the Consecutive Interior Angle Theorem

∠ABC and ∠BCD are supplementary by the Consecutive Interior Angle Theorem

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For the equation --4y = 8x, what is the constant of variation?
larisa86 [58]

Answer: 1) B is correct, constant of variation is -2.

Step-by-step explanation:

1)

Direct variation states that a relationship between the two variables. we say y varies directly as x

i.e,  or y =kx.................[1] ;  where k is the constant of variation.

Given the equation:

Divide both sides by -4 we get;

Simplify:

            .......[2]

On comparing equation [2] with [1] we get;

k = -2

6 0
3 years ago
Find the 27th term in the arithmetic sequence of 59,56,53,50
statuscvo [17]

solution:

A_{n}=59-3(n-1)\\where, n=1,2,3,.....\\A1=59\\A2=56\\A3=53\\A_{n}=a+(n-1)dA27=59+(27-1)3\\=59-78\\=-19\\A27 term is -19

5 0
3 years ago
A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the
Assoli18 [71]

Answer:

other parallel side is 23m

Step-by-step explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

A=\frac{1}{2}\times h \times (x+y)

now, we can plug values

A=\frac{1}{2}\times 20 \times (x+18)

we can set A=410

and then we can solve for x

410=\frac{1}{2}\times 20 \times (x+18)

10\left(x+18\right)=410

x+18=41

x=23


6 0
4 years ago
Suppose $200 is invested at the annual interest rate 6% compounded continuously what is the amount in the account after years ?
Setler [38]
The amount in the account after years is 12
6 0
3 years ago
Please help I would appreciate it
puteri [66]

Answer:

B. 95

Step-by-step explanation:

5 0
3 years ago
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