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svp [43]
2 years ago
9

LAST QUESTION ON MY TEST PLEASE HELP

Mathematics
1 answer:
Kipish [7]2 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:

(7 + x)(12) = (10)(2x + 2)

You can simplify and solve:

84 + 12x = 20x + 20

84 = 8x + 20

64 = 8x

x = 8

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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on
Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

5 0
3 years ago
What will be the coordinates of N after a 90 degree counterclockwise around the origin
Virty [35]

Answer:

The original point (x , y) —> the point rotated (-y , x)

Step-by-step explanation:

8 0
2 years ago
How can I solve this.. Need asap.. Please and thankyou❤️❤️
Elena L [17]
Divide 1500 by 5 to get one fifth of the savings. Multiply that by 12 to get yearly savings. You end up with 3600.
8 0
3 years ago
You have 50 tickets to ride the ferris wheel and the roller coaster. if you ride 12 times total, using 3 tickets for each ferris
EastWind [94]
Hey! :)

you went on the roller coaster 7 times and the ferris wheel 5 times

Hope this helps! :)
4 0
3 years ago
Read 2 more answers
What is the measure of (2x+94) = (8x+10)
Anna [14]
I subtract 2x  to 8x that is equal to 6x; then I subtract 10 from right to left. So 94-10 equal 84. Now you got 6x=84, divide 6 both side and you got the answer. 
 
The answer is x= 14

7 0
3 years ago
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