What is the measure of x , if angle 6 equals 4 x and angle 7 equals 2 x + 34?112°
68°
64°
17°

Answers

Answer 1
Answer:

The measure of x in the given figure is equal to 17°

What are vertical angles?

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

They are also called vertically opposite angles as they are situated opposite to each other.

Given is figure, where two lines intersects each other and forms angles, we need to find the measure of x, if angle 6 = 4x and angle 7 = 2x + 34

Since, the angles 6 and 7 are vertical angles,

Therefore, the angles are equal,

Therefore,

4x = 2x+34

2x = 34

x = 17

Hence, the measure of x is equal to 17°

Learn more about vertical angles, click;

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Answer 2
Answer:

Answer:

17°

Step-by-step explanation:


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The function f(x)= -(x+5)(x+1) is down. What is the range of the function?

Answers

Answer:

(-∞, 4)

Step-by-step explanation:

"The function f(x)= -(x+5)(x+1) is down" should be "The function f(x)= -(x+5)(x+1) has a parabolic graph that opens down."

Expanding f(x)= -(x+5)(x+1), we get  f(x) = -[x^2 + 6x + 5] = -x^2 - 6x - 5.

Here the coefficients are a = -1, b = -6 and c = -5.  Thus, the axis of symmetry is

         -(-6)

x = ------------ = -3.  

        2(-1)

The maximum value of the function occurs  when x = -3.

We must also find the actual max value.  

It is f(-3) = -(-3)^2 - 6(-3) - 5, or 4.

The max value is 4.  Thus, the range of this function is (-∞, 4)

8/9 divided by 1/2= 8/9 times what equels 8/9 divided by 1/2 does that make sense? lol
WILL BE GIVING BRANLIEST
29 POINTS

Answers

I
I think it might be 128/81
Divided 8/9 by 1/2=16/9
Since it’s it’s 8/9 greater than 16/9 I multiply 16/9 by 8/9= 128/81

Tell me if it’s wrong or right. I would like to know

Im not completely sure if i am correct. i just wanna know if i am right. ​

Answers

It’s -7, not -3 because cd is 16 apart and 1/8 is 2 units to the right of c making it -7.

OK I did the math completely  and you aren't correct, its -7, not -3.

I didn't do the math right so I did it again and I got -7.

The students in Naomi's class sold calendars for a fund-raiser this year and last year. This year, the selling price of each calendar was 13.25. The price this year represents 6% more than the selling price of each calendar last year. What was the selling price of each calendar last year ?

Answers

We'll use the variable x to represent last year's price. First, we have to set up an equation:
.06x+x=13.25
We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:
.06x+x=13.25 \n 1.06x=13.25 \n (1.06x)/(1.06) = (13.25)/(1.06) \n x= 12.50

Last year's price was $12.50

Hope this helps!

 Can someone plz help me

What is the surface area of the figure?     A. 408 ft2   B. 458 ft2   C. 545 ft2   D. 720 ft2

Answers

There are 2 faces 7 x 5

2*(5*7)=2*35=70ft^2

There 2 faces 5 x 5

2*(5*5)=2*25=50ft^2

there are 3 faces 5 x 12

4*(5*12)=4*60=240ft^2

There are 2 faces 7 x 7

2*(7*7)=2*49=98ft^2

Now only we have to sum all of them together

98+240+50+70=458ft^2
cuboid : \n \n l=12 \ ft , \ \ w = 5 \ ft , \ \ h= 7 \ ft \n \n A = 2wl + 2lh + 2hw \n \nA=2\cdot 5\cdot 12 + 2\cdot 12\cdot 7 + 2\cdot 7\cdot 5 = 120+ 168 +70 = 358 \ ft^2 \n \n cube: \n \n four \ side \ walls : \n \n s= 5 \ ft \n \n 4 \cdot s^2 = 4 \cdot 5^ 2 = 4*25 = 100 \ ft^2 \n \n surface \ area \ of \ the \ figure : \n \n 358 +100 = 458 \ ft^2 \n \n Answer : \ B. \ 458 ft^ 22

Negitive 12 square root of 12 minus 2 square root of 3A -50 squareroot of 3
B -22 squareroot of 3
C -26 squareroot of 3
D -10 squareroot of 3

Answers


You said . . .  -12√12  - 2√3 .

Before we get all tangled up trying to work on the whole thing at once,
take a look at that first square root:  √12 .

That's the same thing as √(4 · 3)  and you can break it up like this:

√(4 · 3)  =  √4 · √3 .

Now, we know what √4 is . . . it's just 2 .

So we can write the first half of your original big quantity like this:

-12 √12

= -12 · 2 · √3

= -24√3 .

NOW, finally, let's go back and rewrite the whole thing:

-24√3 - 2√3 .

Isn't that a lot nicer looking ?
It's nearly solved all by itself ... if you don't let the √3 scare you.

It just says  -24(cows) - 2(cows) .
and everybody knows, that's just  -26(cows).

So  -24√3 - 2√3  is just  -26√3 .  (choice-C)