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hjlf
3 years ago
8

Help geometry. find bdc

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

The value of ∠BDC is equal to 68°.

Step-by-step explanation:

It is given that,

∠BDA is a straight angle.

ATQ,

∠BDC+∠ADC=180 (Linear pair)

-7x+12+(-8x)+48 = 180

-7x+12-8x+48 = 180

-15x+ 60 = 180

-15x = 180-60

-15x = 120

x = -8

So,

∠BDC = -7x+12

= -7(-8) + 12

= 56+12

= 68°

So, the value of ∠BDC is equal to 68°.

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A boutique specializes in leather goods for men. Last month, the company sold 20 wallets and 53 belts, for a total of $3,517. Th
Vlada [557]

Answer:

25 wallets and 53 belts

Step-by-step explanation:

Firstly, we need to represent the amount with variables ( alphabets)

Let the amount charged for a belt be $b and the amount charged for a wallet be $w.

Now, we were told that last month, the company sold 20 wallets and 53 belts for 3,417.

Now if 1 wallet costs $w, 20 wallets would cost $20w

In a likewise manner, if 1 belt costs $b , 53 belts will cost $53b.

Now since we know the total cost of both equals 3,417 , this mean

$20w + $53b = $3,417

First equation.

In likewise manner,

$28w + $97b = $6,041

Second equation

This simply shows we have 2 equations to solve simultaneously.

From equation 1, we can see that

20w = 3,417 - 53b

Equation 2 can also be expressed as:

1.4(20w) + 97b = 6041

We now substitute for 20w in equation 2.

1.4(3,417 - 53b) + 97b = 6041

4783.8 - 74.2b + 97b = 6041

97b - 74.2b = 6041 - 4783.8

22.8b = 1257.2

b = 1257.2/22.8 = apprx 55 belts

20w = 3,417 - 53b

Substitute for b here.

20w = 3417 - 53(55)

20w = 3417 - 2915

20w = 502

w = 502/20 = apprx 25

3 0
3 years ago
Select all of the transformations that could change the location of the asymptotes of a cosecant of secant function.
mars1129 [50]

We have to select all of the transformations that could change the location of the asymptotes of a cosecant of secant function.

So given function can be written as:

y=csc( sec(x))

First we need to determine the location of asymptote which is basically a line that seems to be touching the graph of function at infinity.

From attached graph we see that Asymptotes (Green lines) are vertical.

So Vertical shift or vertical stretch will not affect the location of asymptote because moving up or down the vertical line will not change the position of any vertical line.

only Left or right side movement will change the position of vertical asymptote. Which is possible in Phase shift and period change.

Hence Phase shift and Period change are the correct choices.


8 0
4 years ago
Read 2 more answers
You have $142.26 in a bank account. The bank requires you to have at least $30 in your account or else you are charged a fee. Wr
Pepsi [2]

Answer:

$142.26 - x ≥ $30

x ≤ $112.26

Step-by-step explanation:

Let the amount you can write on your next check without being charged a fee be x.

Given that you are to have at least $30 in your account or else you are charged a fee then

$142.26 - x ≥ $30

To solve, collect like terms

-x ≥ $30 - $142.26

-x ≥ -$112.26

x ≤ $112.26

Note that on dividing both sides by -1, the sign changes from greater than to less than.

5 0
3 years ago
U<br>12 - 7 + 2<br>15 15<br>15<br>1​
Dennis_Churaev [7]

Answer:

I didn't know

6 0
3 years ago
Solve for x. −5(x−4)=−30 Enter your answer in the box. x =
MissTica

Answer:

x = 10

Step-by-step explanation:

Given

- 5(x - 4) = - 30 ( divide both sides by - 5 )

x - 4 = 6 ( add 4 to both sides )

x = 10

8 0
4 years ago
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