The sum of the measures of the angles of the triangle is 180 degrees. What is the value of each angle in the triangle if angle one is (3x + 51), angle two is (x) and angle three is (x + 19)

Answer:

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where r is the radius of the circle and (h,k) is the coordinates of the center of the circle. We can see that the radius is 3 units and we are given the location of the center as (-3,1) so

(x+3)^2+(y-1)^2=9

We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things

Where , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;

[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]

Now , coming back on the question ;

We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;

[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]

[tex]{: \implies \quad \sf D=36-72}[/tex]

[tex]{: \implies \quad \sf D=-18}[/tex]

As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]

[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]

Answer: The third one.

Step-by-step explanation: The hottest time of the day is around 3 p.m. Heat continues building up after noon, when the sun is highest in the sky, as long as more heat is arriving at the earth than leaving.

Answer: All of them

Step-by-step explanation: I think zll of them

Answer:

The answer is c, 28 ft! brainliest pls lol

Answer:

20ft

Step-by-step explanation:

I did the quiz and got it right :> (K12)

Step-by-step explanation:

Hence the length of other side is 194.87 I.e.194.9 cm

Answer:

1,286.1 units is the answer

Step-by-step explanation:

your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635

volume formula: V=πr^2h

so π*6.4^2*h

π*40.96*10

3.14*409.6

1,286.144

round

1,286.1

Answer:

64/100 = 16/25

Answer:

0.64 in fraction

= 64/100 = 16/25

because each decimal equal to one zero

hope it helps

Answer:

15% off

Step-by-step explanation:

Answer:

17.2% off

Step-by-step explanation:

45/100 = 0.45

0.45 x 38.25 = 17.2%

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

Answer:

ok

Step-by-step explanation:

Answer:

y=-1/2x-1

Step-by-step explanation:

Answer:

4,575,000,000

Step-by-step explanation:

Answer:

It's 4,570,000,000.

Step-by-step explanation:

The first guy had a typo right after the 7.

Answer:

D

A point has a dimension of 0.

Hope this helped!

Given:

DE||FG and KL is perpendicular to FG.

To find:

The measure of angle x.

Solution:

If two lies intersect each other, then vertical opposite angles are equal.

[tex]m\angle ACB=63^\circ [/tex]         (Vertically opposite angles)

[tex]m\angle BAC=x^\circ [/tex]         (Vertically opposite angles)

KL is perpendicular to FG.

[tex]m\angle ABC=90^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

[tex]m\angle ABC+m\angle BAC+m\angle ACB=180^\circ[/tex]

[tex]90^\circ+x^\circ+63^\circ=180^\circ[/tex]

[tex]x^\circ+153^\circ=180^\circ[/tex]

[tex]x^\circ=180^\circ-153^\circ[/tex]

[tex]x^\circ=27^\circ[/tex]

Therefore, the measure of angle x is 27 degrees.

Answer:

Step-by-step explanation:

UWV is a 30°-60°-90° triangle.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2

The length of the side opposite the 90° angle is 10,

so the length of the side opposite the 30° angle is 5

and the length of the side opposite the 60° angle is 5√3

Answer:

21 quizzes

Step-by-step explanation:

3 quizzes per week 9÷3=3

7 weeks = 3×7 so 21 quizzes

Answer:

21 quizzes

Step-by-step explanation:

What we know:

- Hayley takes 9 quizzes in 3 weeks

What we want to find:

- The number of quizzes Hayley would've taken after 7 weeks

We need to first find the number of quizzes Hayley would take in 1 week and then multiply that number by 7. To find the number of quizzes per week, divide 9 by 3:

9÷3=3

Therefore, every week, Hayley takes 3 quizzes.

Now, we multiply 3 by 7:

3×7=21

Therefore, after attending 7 weeks of school, Hayley would've taken 21 quizzes in total.

I hope this helps!

no because you wouldn't switch the fraction upside down to make it opposite.

Answer:

What Doug probably means to say is that the reciprocal of -2/5 is 5/-2. So, by this definition, Doug would be correct. However, you would not usually call it the "opposite" of a number, rather, the reciprocal.

The numbers are reciprocals of the other as their product is equal to one "-2/5 * 5/-2 = 1"

Answer:

x= 11 (nearest whole number)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

-2a - 23

Step-by-step explanation:

10 - 3(2a+3) + 4(a-6)

10-6a-9 + 4(a-6)

10-6a-9 + 4a - 24

-23-6a+4a

-23-2a

Therefore, -2a - 23 is the answer

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

132cm

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

so you first do the bracket so 8- 5 = 3

then 17 × 3 =51

and 51× 5 = 255

Answer:

c wich is sevenths

Step-by-step explanation:

The probability the teacher that chooses a girl to write the date on the board is :

C) 3 sevenths.

Given:

Boys =12

Girls =9

Total number of students = 12 + 9 = 25.

So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]

This is close to 3 sevenths.

Learn more about probability:

https://brainly.com/question/25870256

Answer: 1/4

Step-by-step explanation:

Answer:

you add then add again

Step-by-step explanation:

culture

Answer:

(8,-3)

Step-by-step explanation:

I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.

Hope this helps!