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3 years ago

15

HELPPP circle theorems

1 answer:

Serggg [28]3 years ago

6 0

Answer:

56 degrees.

Step-by-step explanation:

We need the measure of < g.

The triangle formed by the 2 tangents and the chord is isosceles, because 2 tangents from a point outside a circle are of equal length (by the Two Tangents theorem).

Also one of the base angles are equal to 62 degrees ( by The Tangent Chord theorem). In fact both base angles are 62 degrees because the triangles an isosceles.

So measure of angle g = 180 - 2(62)

= 56 degrees.

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

2 years ago

Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form

BigorU [14]

Slope = (10 -5)/(2+3) = 5/5=1

y = mx + b
5 = 1(-3) + b
b =8

so equation y = x +8

answer: <span>y = x + 8(first choice)</span>

8 0

3 years ago

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Amanda [17]

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8 0

2 years ago

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PLZ HLP Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?

DanielleElmas [232]

Answer:

the equation D ) would cause a consistent-independent system.

Step-by-step explanation:

A ) 5 x + y = 7 /*( -2 )

10 x + 2 y = 14

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

- 10 x - 2 y = - 14

10 x + 2 y = 14

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

0 x = 0 ( Dependent system )

B ) 5 x + y = 7 / * 3

- 15 x - 3 y = - 6

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

15 x + 3 y = 21

- 15 x - 3 y = - 6

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

0 x = 15 ( Inconsistent system )

C ) 5 x + y = 7

5 x + y = - 7 / * ( - 1 )

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

5 x + y = 7

- 5 x - y = 7

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

0 x = 14 ( Inconsistent system )

D ) 5 x + y = 7 / * ( - 2 )

6 x + 2 y = 7

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

- 10 x - 2 y = - 14

6 x + 2 y = 7

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7 0

2 years ago

5. Sally took money from her bank account to go

Anit [1.1K]

Answer:

110

Step-by-step explanation:

8 0

2 years ago