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3 years ago

Giving Brainliest for right answers :)

Mathematics

2 answers:

VashaNatasha [74]3 years ago

5 0

Answer:

∠ DFE = 15°

Step-by-step explanation:

The inscribed angle DFE is half the measure of its intercepted arc, that is

∠ DFE = $\frac{1}{2}$ DE = $\frac{1}{2}$ × 30° = 15°

Irina18 [472]3 years ago

5 0

Answer:

<DFE = 15

Brainliest, please!

Step-by-step explanation:

<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.

30 x 1/2 = 15

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Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same

navik [9.2K]

X = number of days it would take Kate to paint the house by herself. .
x+5 = number of days it would take Jean to paint the house by herself.
Together, they paint the house in 6 days: 
1/x + 1/(x+5) = 1/6 
Multiply both sides by 6x(x+5) 
6(x+5) + 6x = x(x+5) 
12x + 30 = x^2 + 5x 
x^2 − 7x − 30 = 0
therefore the answer is A.

4 0

3 years ago

Read 2 more answers

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

$-2=\frac{3}{4}(-4)+b$

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0

3 years ago

Read 2 more answers

As an estimation we are told 5 miles is 8 km. Convert 24 km to miles.

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

24*5=120 / 8 = 15

15 is answer.

3 0

3 years ago

Write the number 6\times 10^{-3}6×10 {−3} in standard form.

solmaris [256]

Answer:

6 · 10⁻³

Step-by-Step Explanation:

The number 6 time 10 to the power -3 is 6 · 10⁻³ in standard form.

5 0

2 years ago

The value of y is directly proportional to the value of x. Given y = 12 when x = 36.

Ahat [919]

Answer:

y = 20

Step-by-step explanation:

The problem states that y = 12 when x = 36. 36/12 is 3. This means that y is a third of what x is. This would mean that if x = 60, y would be a third of 60 which is 20 since 60/3 is 20.

5 0

2 years ago