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3 years ago

Please help with this question!! HELP ASAP!!

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

Answer:

DG is 8.75.

Step-by-step explanation:

Because we have an isosceles triangle with a perpendicular bisector, we have two identical triangles which share equal sides. We know DF is 14 and FG is 4x. These are corresponding sides and we set them equal.

4x=14

x= 3.5.

We also know DE=EG and that DE=1.25x.

We substitute this term and x=3.5.

1.25x=EG

1.25(3.5)=EG

EG is 4.375.

We double 4.375 to find the whole segment DG since they are equal halves. DG is 8.75.

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50 fewer than number y

Sergeeva-Olga [200]

Answer:

y - 50

Step-by-step explanation:

Not sure if that's what you are looking for, but 50 less than a number is the number minus 50

7 0

2 years ago

What is the awnser to the circled equations?

pshichka [43]

Answer:

$y = - \frac{1}{3}x - 1$

Step-by-step explanation:

We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)

Now, equation (1) is in the slope-intercept form and the slope of the line is 3.

Let, m is the slope of the required line.

So, 3m = -1

{Since, the product of the slopes of two perpendicular straight lines is -1}

⇒ $m = - \frac{1}{3}$

Therefore, the equation of the required line in slope intercept form is

$y = - \frac{1}{3} x + c$ {Where c is a constant}

Now, this above equation passes through the point (-9,2) point.

So, $2 = - \frac{1}{3} \times (-9) + c$

⇒ 2 = 3 + c

⇒ c = - 1

Therefore, the equation of the required straight line is $y = - \frac{1}{3}x - 1$ (Answer)

5 0

3 years ago

6ft and 10ft =? it's the pythagorean theorem

anyanavicka [17]

Answer:

11.7

Step-by-step explanation:

pythagorean theorem is $A^{2} +B^{2}=C^{2}$

apply that same formula soo $6^{2} +10^{2}=136^{2}$

then sqaure root 136 $\sqrt{136} =11.66190379$

round that soo now the answer is 11.7

7 0

2 years ago

Read 2 more answers

Help with both questions offering 10 points

Alexandra [31]

Answer:

$\:\mathrm{First\: problem:\:}-2,\\\:\mathrm{Second\: problem:\: }-3$

Step-by-step explanation:

The slope of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

Plugging in any two points in the table we have:

First problem:

$m=\frac{1-5}{2-0}=\frac{-4}{2}=\fbox{$-2$}$

Second problem:

$m=\frac{-1-5}{2-0}=\frac{-6}{2}=\fbox{$-3$}$

8 0

3 years ago

Read 2 more answers

Sin^2(x/2)=sin^2x Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

6 0

3 years ago