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MA_775_DIABLO [31]
3 years ago
12

Find the value of x for which ABCD must be a parallelogram

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0
They are equal so...

15x+2 = 9x+20

15x-9x = 20-2

6x =18

x = 18/6 = 3

x = 3
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If 7x=3y and 5y=7z then X/Z?
Aleks04 [339]

Answer:

3/5=x/z

Step-by-step explanation:

7x=3y

7(3)=3(7)

21=21

5y=7z

5(7)=7z (plug in the seven from the first step)

35=7z

then divide both sides by 7

5=z

therefore, X/Z=3/5

7 0
3 years ago
Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the po
True [87]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& -2~) 
%  (c,d)
&&(~ 10 &,& 2~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-(-2)}{10-9}\implies \cfrac{2+2}{10-9}\implies \cfrac{4}{1}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=4(x-9)\implies y+2=4(x-9)
4 0
3 years ago
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Jet001 [13]

Answer:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o} (1)

Where:

\Delta y - Amplitude.

\omega - Angular frequency.

x_{o} - Phase shift.

y_{o} - Vertical shift.

x - Independent variable.

y - Dependent variable.

In addition, we know that the period associated with the sinusoidal function (T) is:

T = \frac{2\pi}{\omega}

By direct comparison, we get the following conclusions:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

6 0
3 years ago
Plz answer and im giving a lot of points ; ; oh and its two questions in one
Natali [406]
Please don't ask 2 questions in 1 question



remember that percent is parts out of 100 so x%=x/100
basically just remove the percent sign and move the decimal place 2 places to the left  to convert to fraction

the first one
20 dollars
4.75% tax
15% tip
it depends if you want to tip on the total with tax or without tax
it is better to top on the without-tax value since tax comes from you so
find 4.75% of 20 and add that to 15% of 20 then add that to 20 to get the proper value

scenarios
1. 20+(20 times 4.75%)+(20 times 15%)=23.95
2. ([(20 times 104.75%)] times 115%)=24.09
both are bellow $25 so $25 shoudl be enough to cover it




total cost of a spa treatment of 42 with 6% tax and 20% tip
so you could again do two things:
1. apply tax and give tip on the new amount
2. find the tip and add that to the tax of only 42

scenarios:
1.(42 times 106%) times 120%=$50.4
2. (42 times 20%) +(42 times 106%)=$52.92
it depens on what you tip on
6 0
3 years ago
Can u plz help me plz?
mina [271]

6^3

that's the answer

8 0
3 years ago
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