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3 years ago

Find the value of x. HURRY PLEASE

Mathematics

2 answers:

svet-max [94.6K]3 years ago

6 0

Answer:

we have

x²+4=13[From the same external point, the tangent segments to a circle are equal.]

x²=13-4

x²=9

x²=3²

x=3

Mashutka [201]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

so...

13=x²+4.

start by subtracting 4 from each side to get the numbers on one side.

13-4=, and 4-4=0

now, we just have 9=x².

to undo a square, one must square root. so,

$\sqrt{9} = 3$

and

$\sqrt{x {}^{2} } = x$

now, x=3.

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If BD = 4, AD = x-6, and CD = x, what is the length of CD?

emmainna [20.7K]

Answer:

The length of CD is 8 units

Step-by-step explanation:

The complete question in the attached figure

we know that

According to the Right Triangle Altitude Theorem,

$(BD)^2 = (AD)(CD)$

substitute the given values

$(4)^2 = (x-6)(x)$

$16=x^2-6x\\x^2-6x-16=0$

solve the quadratic equation by graphing

The solution is x=8 or x=-6

see the attached figure N 2

Discard the negative length.

therefore

The length of CD is 8 units

8 0

3 years ago

Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.

nignag [31]

Answer:

Part 1) $C=90\°$

Part 2) $A=63\°$

Part 3) $b=6.8\ units$

Part 4) $a=13.4\ units$

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

Angle C is a right angle

therefore

$C=90\°$

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

$B=27\°$

substitute

$27\°+A=90\°$

$A=63\°$

step 3

Find the length side b

we know that

In the right triangle ABC

$sin(B)=b/c$

$b=(c)sin(B)$

substitute the given values

$b=(15)sin(27\°)=6.8\ units$

step 4

Find the length side a

we know that

In the right triangle ABC

$sin(A)=a/c$

$a=(c)sin(A)$

substitute the given values

$a=(15)sin(63\°)=13.4\ units$

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3 years ago

Бx +7y = -12 5х – 8y = –10

Lesechka [4]

Answer: 32

Step-by-step explanation:

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2 years ago

Find x, y, and z.

earnstyle [38]

Answer:

x=4.5,y=5,z=9

Step-by-step explanation:

First, we use the pythagorean theorem in the lower right triangle (with sides 4,x,6) and find x^2+4^2=6^2 and therefore x^2=6^2-4^2=20 so x=√20 which is approximately 4.5.

Also, we can see from the picture that z=y+4, and therefore the only option left is x=4.5,y=5,z=9.

5 0

3 years ago

I need help on this slope question will give brainliest if you explain reasoning well

Oxana [17]

Answer:

C, D, B, A

Step-by-step explanation:

The greater the angle the tangent line makes with the positive x-axis, the greater the slope. Angles increase in the counterclockwise direction, so the question here is equivalent to asking for the tangent lines to be put in clockwise (decreasing slope) order.

That order is C, D, B, A.

8 0

3 years ago