Help I tried finding answers nothing showed so now I’m here asking y’all :)

Find the value of x:

slega [8]

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Using ΔAHC , then

∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x

∠ECD = ∠ACB ( vertical angles are congruent ), thus

∠ECD = ∠ACH + ∠HCB, that is

3x = 80 - 2x + x

3x = 80 - x ( add x to both sides )

4x = 80 ( divide both sides by 4 )

x = 20

7 0

4 years ago

F(x)=x2 what is g(x)?

Oksi-84 [34.3K]

g(x) = (1/4)x^2 . correct option C) .

<u>Step-by-step explanation:</u>

Here we have , $f(x)=x^2$ and we need to find g(x) from the graph . Let's find out:

We have , $f(x)=x^2$ . From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !

A . g(x) = (1/4x)^2

Putting (2,1) in equation g(x) = (x/4)^2 , we get :

⇒ $g(2)= (\frac{2}{4} )^2$

⇒ $1\neq \frac{1}{4}$

Hence , wrong equation !

B . g(x) = 4x^2

Putting (2,1) in equation g(x) = 4x^2 , we get :

⇒ $g(2)=4(2)^2$

⇒ $1\neq 64$

Hence , wrong equation !

C . g(x) = (1/4)x^2

Putting (2,1) in equation g(x) = (1/4)x^2 , we get :

⇒ $g(2)= (\frac{1}{4} )2^2$

⇒ $1= 1$

Hence , right equation !

D . g(x) = (1/2)x^2

Putting (2,1) in equation g(x) = (1/2)x^2 , we get :

⇒ $g(2)= (\frac{1}{2} )2^2$

⇒ $1\neq 2$

Hence , wrong equation !

Therefore , g(x) = (1/4)x^2 . correct option C) .

8 0

4 years ago

Find the distance between the two points rounding to the nearest tenth if necessary (-1,4) and (4,-8)

laila [671]

Answer:

13 units

Step-by-step explanation:

$\sqrt{(4--1)^{2}+(-8-4)^{2} }$

= $\sqrt{5^{2}+(-12)^{2} }$

= $\sqrt{25 + 144}$

= $\sqrt{169}$

=13 units

5 0

3 years ago

Allison can row a boat 1 miles upstream (against the current) in 24 minutes. She can row the same distance downstream in 13 minu

prohojiy [21]

Answer: The speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.

Step-by-step explanation:

Since we have given that

Let the speed of boat in still water be 'x'.

Let the speed of current be 'y'.

Distance = 1 mile

For Upstream, speed would be

$x-y=\dfrac{1}{24}\times 60=2.5$

For downstream, speed would be

$x+y=\dfrac{1}{13}\times 60\\\\x+y=4.615$

By graphing method we get that

x = 3.558 miles/hr

and y = 1.058 miles/hr

Hence, the speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.

3 0

3 years ago

Caroline wants to give 8 equal packets of sunflower seeds to her friends. She has 1/2 pound of sunflower seeds. How much will ea

zimovet [89]

What she has to do is divide her amount of sunflower seeds into the number of packages that she needs: so 1/2 pounds into 8:

$\frac{1}{2}:8= \frac{1}{2*8}= \frac{1}{15}$

-if we divide a fraction, we can multiply the denominator by the number we want to divide it by.

This is the correct answer, each packet will weight 1/15 of a pound, that is one ounce

3 0

3 years ago