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8 months ago

Find the value of x and y that make the quadrilateral

Mathematics

1 answer:

vitfil [10]8 months ago

4 0

The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

$4x+6=7x-3$

We can solve that equation for x

$\begin{gathered} 4x+6=7x-3 \\ \\ 3x=9 \\ \\ x=\frac{9}{3}=3 \end{gathered}$

Hence, x = 3. Now let's solve the other equation

$\begin{gathered} 4y-3=3y+1 \\ \\ y=4 \end{gathered}$

Then the value of y is 4.

Final answers:

x = 3

y = 4

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When converting units, summarize the steps using the Direct Method .

STALIN [3.7K]

Steps are simple:
1- Write the standards of conversion
2- Write the value you want to convert
3- Use cross multiplication to get the converted value

Examples:
i- Say we want to convert 890 cm to meters.
We know that 1 cm = 0.01 meters
Now, we will write the number we want to convert and use cross multiplication as follows:
1 cm = 0.01 meters
890 cm = ?? meters
converted value = (890*0.01) / 1 = 8.9 meters

ii- Say we want to convert 568 kg to grams.
We know that 1 kg = 1000 grams
Now, we will write the number we want to convert and use cross multiplication as follows:
1 kg = 1000 gram
568 kg = ?? grams
converted value = (568*1000) / 1 = 568000 grams

Hope this helps :)

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2 years ago

If m< 1 = 10x + 4 and m <2 = 5x-4, find m< 2

BartSMP [9]

Answer:

m<2 = 56°

Step-by-step explanation:

m<1 and m<2 are supplementary angles and sum = 180

m<1 + m< 2 = 180

If m< 1 = 10x + 4 and m <2 = 5x-4, find m< 2

10x + 4 + 5x - 4 = 180

15x = 180

x = 12

m<2 = 5(12) -4 = 56

Answer

m<2 = 56°

4 0

2 years ago

How to solve the inequality 1/5 ≤ x/15?

MAXImum [283]

Answer:

3 <_ x

Step-by-step explanation:

multiply both sides by 15

1/5 * 15 <_ x

15/5 <_ x

3 <_ x

8 0

2 years ago

Solve the given differential equation by separation of variables. csc(y) dx sec2(x) dy

Elden [556K]

Try this solution:
dx/siny=dy/cos2x;
sinydy=cos2xdx;
cosy=-1/2 sin2x+C.

3 0

2 years ago

Select the correct answer. What is the surface area of the victory podium shown here? Include all surfaces of the podium, includ

Leya [2.2K]

Answer:

Option C is correct.

Step-by-step explanation:

Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.

As Surface area of cuboid is 2(LW+WH+HL)

In the given figure, the upper cuboid has dimension

L=2.5 ft. , W=1.5 ft, H=1.5 ft

$\text{Surface area=}2(2.5(1.5)+1.5(1.5)+1.5(2.5))=19.5ft^2$

$\text{Area of bottom face of upper cuboid=}L\timesW=2.5\times1.5=3.75ft^2$

The upper face is occuring twice therefore it must be subtracted to find the area

Dimensions of lower podium are

L=7.5 ft. , W=1.5 ft, H=1.5 ft

$\text{Surface area=}2(7.5(1.5)+1.5(1.5)+1.5(7.5))=49.5ft^2$

Now, Surface area of podium included bottom is

19.5+49.5-3.75=65.25 square feet.

Hence, option C is correct.

4 0

2 years ago