A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?

Answer:

-20.5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3rd Option;

x = 4

y = 116

Step-by-step explanation:

Let's start by solving for "x" first:

=>  We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:

Side 1 = It's opposite side

=> 16 = 3x + 4

=> 16 - 4 = 3x

=> 12 = 3x

=> 12/3 = x

=> 4 = x

Now that we know x, let's find the y-value;

=> We know that opposite angles in a parallelogram are congruent, therefore we can say;

Angle 1 = It's opposite angle

=> 56 = y - 60

=> 56 + 60 = y

=> 116 = y

Hope this helps!

Answer:

no

if you Let 3x be the number of boys

Let 2x be the number of girls

3x + 2x = 24

5x = 24

x = 4.8

3(4.8) = 14.4 boys

2(4.8) = 9.6 girls

There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense

Answer:

just do it by Pythagoras theoram

Step-by-step explanation:

because it is a right angle

Answer:

1/2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1. Right Triangle

2. Right Triangle

3. Not a Right Triangle

4. Not a Right Triangle

Step-by-step explanation:

15. f(x) = 4 (3)^x

16. f(x) = 4 (2)^-x

Answer:

your answer is

Supplementery Angle;X=62

Answer:

36 cm³

Step-by-step explanation:

V = lwh

you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12

the remaining portion is 2 × 2 × 6 which gives a volume of 24

12 + 24 = 36 cm³

Answer:

20

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

30+30+12+12+41+41

=166

When two tangents intersects with another tangent, the both are equal in length I think.

5) m<EBF= 474

6)m<ABC= 70

5) 20x-10= x+390

5) 20x-10 3x+15+60=474

20x-10=390  

3x+15= 24

plug in the x into the equation: (x+20)---> (20x20)=400

400-10= 390

6) 3x+1+2x+14= 28

3x= 9

2x=4

plug in the x into the equation: (3x+1)----> 2x+14= 28

7 is a bit confusing...

8 G and F is confusing me sorry...

this was so fu-cking hard sorry it took long...

Answer:

[tex]D. a = 40; b=140; c = 90[/tex]

Step-by-step explanation:

[tex]a=2(20)\\\\=40[/tex]

---------------

[tex]b=180-40\\\\=140[/tex]

---------------

[tex]c=90[/tex]

--------------------------

hope it helps...

have a great day!!

Answer:

A

Step-by-step explanation:

hope this helps

-SadAlpha-

Answer:

The answer is below

Step-by-step explanation:

The correct question is attached.

Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.

Given the lines A, B and C. The constant of proportionality can be gotten by  getting the equation of the line.

Line A passes through (0,0) and (1, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]

The constant of proportionality between y and x is 5.

Line B passes through (0,0) and (3, 5). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]

The constant of proportionality between y and x is 5/3.

Line C passes through (0,0) and (3, 2). The equation of line A is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]

The constant of proportionality between y and x is 2/3.

Answer:

line c

Step-by-step explanation:

[tex]{ \color{teal}{ \huge{ \textsf{ \textbf{Answer}}}}}[/tex]

We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.

The supplementary of 97° is (180°-97°)=83°

Answer:

Step-by-step explanation:

Ok put it at the point (2, 3)

then from that point go up one and to the right two times then repeat

when you get to the top, go back to the point (2,3) and then from there go down one and to the left two times then repeat

Then the other one start at the point (1,-3)

then go down two from the point then move right 3

the start at the point again and move up 2 then 3 to the left

Answer:

-2, 7

Step-by-step explanation:

I dont know I just know the answer i am only in 5th grade plz have mercy

Answer:

46

Step-by-step explanation:

Follow the order of operations

The value of the expression 6(24 ÷ 3) - 2 is 46.

To evaluate the expression 6(24 ÷ 3) - 2, we follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, we simplify the expression inside the parentheses:

24 ÷ 3 = 8

Now we substitute the result back into the original expression:

6(8) - 2

Next, we perform the multiplication:

6 * 8 = 48

Finally, we perform the subtraction:

48 - 2 = 46

Therefore, the value of the expression 6(24 ÷ 3) - 2 is 46.

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Answer:

I'd say about 9 weeks

Answer:

i  took my ruler and i would say that AB is about an inch long

Step-by-step explanation:

Answer: Choice B

The vertex is (-3, 2)

===========================================================

Explanation:

The vertex is the lowest point of a V shaped graph like this. If the V was upside down, then the vertex would be the highest point. The graph shows that (-3, 2) is the lowest point.

Side note: The equation for this absolute value function is y = |x+3|+2

The vertex of the absolute value function given below is (-3, 2).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Absolute value functions are of the form,

f(x) = |x|.

Here |x| means the absolute value of x.

The vertex of the absolute value function is the point where the direction of the graph changes.

From the given graph, line was having negative slope until the point (-3, 2) and then it changes the direction.

Hence the vertex of the graph is (-3, 2).

Learn more about Absolute Value Functions here :

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Answer:

the answer to the equation is x + 12

Step-by-step explanation:

x + 5 + 7 = x + 12

x + 12

Answer:

x+12 it think im not sure

Step-by-step explanation:

add 5 and 7 which get 12

Answer:

45°

Step-by-step explanation:

a triangle is 180° and we can see that it is a right angled triangle. so we just subtract 90 from the 180 then divide that 90 by 2 to get 45°

Answer:

180-92= 88 degree

Step-by-step explanation:

180-92= 88 degree

Answer:

Supplementary angles are two angles whose sum is 180°.

92+x= 180

x= 180-92

x= 88

Answer:

Top right figure (the trapezoid)

Step-by-step explanation:

Line symmetry means that if you draw a line that cuts the figure, and reflect the figure across that line, the figure does not change.

Now, if we use vertical lines, a figure will have a line symmetry if it is exactly the same in the left as it is in the right.

And we can see that none of the figures meets this condition.

If instead, we use horizontal lines, then the figure must be equal above and below.

Particularly the "L" and the "t" can be discarded.

Also, the bottom right image can be discarded, as the bottom is clearly different than the top.

But the top right figure (the trapezoid) is exactly the same in the bottom as in the top, so if we reflect that image across a horizontal line that cuts it in two halves, the figure will not change, so that is the figure that has line symmetry,