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ankoles [38]
3 years ago
13

Given: EL- tangent, EK- secant Prove: EJ·LK = EL·LJ

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

This is possible.

Step-by-step explanation:

We can say that m<E=m<E, because of the Reflexive Property

Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.

With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).

Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), \frac{LK}{LJ} =\frac{EL}{EJ}.

With this ratio, we can cross multiply to get the desired result

EJ·LK=EL·LJ

Hope this helps with your RSM problem

Yup, i caught ya.

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Cheryl is planning a garden that will be
GaryK [48]

Hello There!

Great Question!

To calculate the area of a rectangular prism, you would multiply the length, the width, and the depth. As we want to measure this in cubic feet, we should convert all of the measurements to feet to begin with.

How wide is the garden? (either 7 or 8 feet)

How long is the garden? (Whichever of 7 or 8 wasn’t used)

How deep is this garden? 6 inches.

Well, that’s not feet, right?

How many inches are in a foot? 12.

Divide 6 by 12, what is the answer? .5.

5 0
3 years ago
Find the area of the triangle.
BabaBlast [244]

Answer:

17.7 cm^2

Step-by-step explanation:

Use trig to find the height of the triangle. Then the area is bh/2.

Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.

Use triangle ABD to find the height, AD, of triangle ABC.

For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.

sin B = opp/hyp

sin 37 deg = AD/13.1

AD = 13.1 * sin 37 deg

AD = 7.9

AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.

area = bh/2

area = (4.5 cm)(7.9 cm)/2

area = 17.7 cm^2

5 0
3 years ago
If the integral of f(x)dx = 2.3 from 1 to 3 and F'(x) = f(x), what is the value of F(3) - F(0). The graph will be inserted as a
lana66690 [7]
<span>F(3)−F(0)=<span>∫30</span>f(x)dx</span><span>
so it looks like 2.3+1=3.3</span>
4 0
3 years ago
Read 2 more answers
What is the rule for this pattern? 1st term:32, 2nd term:36, 3rd<br>term:40​
Alenkasestr [34]

Answer:

Add four to each sum

Step-by-step explanation:

32, 36, 40

32 + 4 = 36

36 + 4 = 40

Rule: Add four to each sum

Hope this helped!

(Let me know if I got something wrong!)

4 0
3 years ago
Read 2 more answers
Y is six more than x divided by three <br><br> turn it into an expression (y=mx+b format)
Snowcat [4.5K]

We always start from right side in order of operation in any equation

we can set up equation as

step-1:

x divided by three

we can write as

=\frac{x}{3}

step-2:

six more than x divided by three

so, we get

=\frac{x}{3}+6

step-3:

y is six more than x divided by three

so, we get

y=\frac{x}{3}+6

and this is in y=mx+b form

so, we have

y=\frac{x}{3}+6...............Answer


4 0
3 years ago
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