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3 years ago

2y+4=5x-4= Help please

Mathematics

2 answers:

IgorLugansk [536]3 years ago

7 0

Answer:

x = 2 and y = 1.

Step-by-step explanation:

If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.

5x - 4 = 2y + 4

5x - 2y = 4+4 =8--------(1)

and 5y + 1 = 3x

3x - 5y = 1--------(2)

We multiply equation 1 by 3 and equation 2 by 5

15x - 6y = 24------(3)

15x - 25y = 5------(4)

Now we subtract equation 4 from 3

15x - 6y - (15x - 25 y) = 24-5

15x -6y -15x + 25y =19

19y = 19

y = 1

By putting y = 1 in equation 1.

5x - 2 = 8

5x = 10

x = 2

timofeeve [1]3 years ago

5 0

Answer:

2y+4 is equal to 5x-4.

5y+1 is equal to 3x.

Step-by-step explanation:

2y+4=5x-4=

According to the properties of a quadrilateral, the parallel or the opposite sides of the figure are equal. Hence, in this figure, the lengths from A to B will be equal to the length from D to C and the lengths from A to D will be equal to the length from B to C.

Therefore, in such a case 2y+4 is equal to 5x-4.

Likewise, 5y+1 is equal to 3x.

You might be interested in

What is -6(-3+5r)=-5-7r

inna [77]

Answer:

r = 1

Step-by-step explanation:

Use the distributive property to multiply −6 by −3+5r.

18−30r=−5−7r

Add 7r to both sides.

18−30r+7r=−5

Add −30r and 7r to get −23r.

18−23r=−5

Subtract 18 from both sides.

−23r=−5−18

Subtract 18 from −5 to get −23.

−23r=−23

Divide both sides by −23.

r=−23/−23

Divide −23 by −23 to get 1.

r=1

8 0

3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!!!

alina1380 [7]

I think the answer is B

4 0

3 years ago

Read 2 more answers

Find the volume of a cylinder with a radius of 4 inches and a height that is three times the radius. Use 3.14 for pi and round y

motikmotik

Answer:

603.19 with pi and 602.88 with 3.14

Step-by-step explanation:

V = pi times r^2 times h

7 0

4 years ago

To construct an interval estimate for the difference between the means of two populations when the standard deviations of the tw

kobusy [5.1K]

Answer:

C. (n₁ + n₂ - 2) degrees of freedom

Step-by-step explanation:

The t-test for difference between two mean when variance are equal is:

$t=\dfrac{\bar{x}_1-\bar{x}_2}{s\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

where ,

$\bar{x}_1$ = Mean of Sample 1

$\bar{x}_2$ = Mean of Sample 2

s = standard deviation

n_1 = size of Sample 1

n_2 = size of Sample 2

and t is Student's t-test with (n₁ + n₂ - 2) degrees of freedom.

5 0

4 years ago

The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

melisa1 [442]

Answer:

68% of these phones last 3.87 years.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The average lifetime of a certain new cell phone is 3.4 years.

This means that $m = 3.4, \mu = \frac{1}{3.4} = 0.2941$

$P(X \leq x) = 1 - e^{-0.2941x}$

68% of these phones last how long (in years)?

This is x for which:

$P(X \leq x) = 0.68$

$P(X \leq x) = 1 - e^{-0.2941x}$

Then

$0.68 = 1 - e^{-0.2941x}$

$e{-0.2941x} = 0.32$

$\ln{e{-0.2941x}} = \ln{0.32}$

$-0.2941x = \ln{0.32}$

$x = -\frac{\ln{0.32}}{0.2941}$

$x = 3.87$

68% of these phones last 3.87 years.

4 0

3 years ago