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aksik [14]
3 years ago
13

Find the measure of KL.​

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

KL = 7

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the measures of one secants external part and the entire secant is equal to the product of the other secant's external part and the entire secant, that is

MN(MN + NC) = ML(ML + LK), that is

8(8 + 10x) = 9(9 + 7x) ← distribute both sides

64 + 80x = 81 + 63x ( subtract 63x from both sides )

17x + 64 = 81 ( subtract 64 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Hence

KL = 7x = 7 × 1 = 7

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Find the value of the missing variables.
dsp73

Answer:

x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}

Step-by-step explanation:

The measure of arc which the right triange cuts from the circle is 70^{\circ}, this means the central angle has the same measure.

Angle with measure x^{\circ} is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

x^{\circ}=\dfrac{1}{2}\cdot 70^{\circ}=35^{\circ}

Angles with measures x^{\circ} and y^{\circ} are complementary angles (add up to 90°), so

y^{\circ}=90^{\circ}-35^{\circ}=55^{\circ}

6 0
3 years ago
Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the
nlexa [21]

Answer:

y+z=x

Step-by-step explanation:

we know that

The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

4 0
3 years ago
Please help please please help 16 points
asambeis [7]

Answer:

1.6 = x axis || 2.5 = y axis

Step-by-step explanation:

each line is 0.5

4 0
2 years ago
I need help plz help
barxatty [35]

I think the answer is c
8 0
3 years ago
When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q? Show your work please.
Strike441 [17]
 = 2x^2 - 20x + 49 = 2(x^2 - 10x + 49/2) 

y= 2((x-5)^2 - 25 + 49/2) = 2((x-5)^2 - 1/2) = 2(x-5)^2 - 1 

q =5, r=-1, p=2 

Vertex = (q,r) = (5,-1)

hope it helps plz mark as brainliest
5 0
3 years ago
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