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3 years ago

Find the measure of the angle

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

Step-by-step explanation:

We know that EA is a straight line(180) therefore

ang(ECD) = 180 - 115 = 65

The the sum of angles in a triangle is 180 as well therefore:

ang(DEC) = 180 - ang(EDC) - ang(ECD) = 180 - 40 - 65 = 75

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If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)

AnnZ [28]

Answer:

Step-by-step explanation:

To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = $\sqrt{9}$ = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

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3 years ago

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Ipatiy [6.2K]

Answer:

y=4x-1

Step-by-step explanation:

Slope-intercept form is written in y=mx+b

*m=slope

*b=y-intercept

From what I see,

the line hits the points (0,-1) and (1,3)

Slope is the rise (change in the y-coordinate) of the line divided by the run (change in the x-coordinate).

4÷1=4

Slope=4

y=4x+b now

The y-intercept is the value of y when the line meets the y-axis

It seems to meet at (0,-1)

So we end up with...

y=4x-1 as our equation

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3 years ago

a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same

Lostsunrise [7]

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

$Time=\dfrac{Distance}{Speed}$

Time taken by the train initially to cover 288 km is $\dfrac{288}{x}$ hours.

New time taken by the train to cover 288 km is $\dfrac{288}{x+4}$ hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

$\dfrac{288}{x}-\dfrac{288}{x+4}=1$

$\dfrac{288(x+4)-288x}{x(x+4)}=1$

$288x+1152-288x=x^2+4x$

$1152=x^2+4x$

$0=x^2+4x-1152$

Splitting the middle term, we get

$x^2+36x-32x-1152=0$

$x(x+36)-32(x+36)=0$

$(x+36)(x-32)=0$

$x=-36,32$

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

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3 years ago

Slope of a line is the measure of the<br> of a line.

BlackZzzverrR [31]

Answer:

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3 years ago