3. PQR is an isosceles triangle with PQ = PR, and angle QPR = x".
P
Angle PQR = (2x + 30)
Diagram not drawn to scale
PR = (2x + 3) cm
QR = (r + 3) cm
1(2r+3)
H
+
(2x +30)
R
(r+3)
(a) Find an expression for the perimeter of the triangle in terms of r, giving
your answer in its simplest form.
(b) Work out the value of r, if the perimeter is 49 cm.

Answer:

(-6, 3)

Step-by-step explanation:

1. plot both endpoints on a graph

2. plot M equally far away from both of the endpoints

3. since its a line segment there's only 1 possible point where the midpoint is equally far away from both endpoints

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

12. 5x² - 180 = 0

5x² = 0 + 180

5x² = 180

x² = 180/5

x² = 36

x = √36

x = 6

13. 3x² - 100 = 332

3x² = 332 + 100

3x² = 432

x² = 432/3

x² = 144

x = √144

x = 12

14. ⅔x² - 8 = 16

⅔x² = 16 + 8

⅔x² = 24

2x² = 24 × 3

2x² = 72

x² = 72/2

x² = 36

x = √36

x = 6

15. ½x² - 5 = 5

½x² = 5 + 5

½x² = 10

x² = 10 × 2

x² = 20

x = √20

16. x² + 1 = 3x² - 13

1 + 13 = 3x² - x²

14 = 2x²

14/2 = x²

7 = x²

√7 = x

17. 2(x² + 4) = 10

2x² + 8 = 10

2x² = 10 - 8

2x² = 2

x² = 2/2

x² = 1

x = √1

x = 1

18. 3(x² - 1) = 9

3x² - 3 = 9

3x² = 9 + 3

3x² = 12

x² = 12/3

x² = 4

x = √4

x = 2

19. 2(x + 3)² = 8

2(x² + 3² + 2×x×3) = 8

2(x² + 9 + 6x) = 8

2x² + 18 + 12x = 8

2x² + 12x = 8 - 18

2x² + 12x = -10

2(x² + 6x) = -10

x² + 6x = -10/2

x(x + 6) = -5

x + 6 = -5/x

6 = -5/x - x

6 = -5/x - x²/x

6 = (-5 -x²)/x

6x = -5 - x²

Answer:

Side AB is 13 plots long.

Step-by-step explanation:

Square sides A and side B

12 x 12 = 144

5 x 5 = 25

Now add the sides together. Then, find the square root of the sum.

144 + 25 = 169

[tex]\sqrt{169}[/tex] = 13

Check your work:

13 x 13 = 169

Answer:

20.4

Step-by-step explanation:

104 ÷ 5.1 = 20.3921

20.39 = 20.4

Answer:

Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

Answer:

Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

its from edge

Answer:

A. y + 1 = -3(x - 4)

Step-by-step explanation:

If the equations are perpendicular, then that means they have the same slope, just with the opposite sign. In this case, the given equation's slope is 3, which means that the other equation's slope is -3. Now that we know the slope and one point, we can write the equation in point-slope form:

y - y1 = m(x - x1)

y - (-1) = -3(x - 4)

y + 1 = -3(x - 4)

The equation in point-slope form is answer choice A. y + 1 = -3(x - 4).

Hope this helps :)

Answer:

1536 and 6144

Step-by-step explanation:

you are multiplying by 4

I hope this helps you to understands better

The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Given the sequence of numbers expressed as 6, 24, 96, 384, ...

The given sequence is a geometric sequence. The nth term of the sequence is expressed as;

[tex]T_n = ar^{n-1}[/tex]

a is the first term

r is the common ratio or multiplicity

n is the number of terms

Given the following parameters

a = 6

r = 24/6 = 96/24 = 4

n = 5 and 6 (5th and 6th term)

For the fifth term;

[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]

For the sixth term;

[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]

Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Learn more here: https://brainly.com/question/9300199

Answer:

Adam has to pay £173.40

Step-by-step explanation:

If you take 15 percent off of 80 you get 68 and if you multiply that by 2 then you will get 136. And 15 percent off of 40 is 34. Then you add 34 to 136 and you get 170. And 2 percent of 170 is 3.40. You add that to 170 and you get £173.40.

Please mark brainliest.

Answer:

0.243

Step-by-step explanation:

Given that :

Probability of success (p) = 76% = 0.76

Number of free throws (n) = 10

Probability of making 7 free throws = r

Using binomial distribution :

nCr * p^r * (1 - p)^(n-r)

10C7 * 0.76^7 * (1 - 0.76)^(10 - 7)

10C7 * 0.76^7 * 0.24^3

120 * 0.14645 * 0.013824

= 0.24294

Hence probability of making 7 free throws from 10 is 0.243

Answer:

MK

Step-by-step explanation:

Answer:

hi do You have tiktok?mm

Answer:

You can put this solution on YOUR website!

the inequality is 500 - 25x >= 200

this insures that he will have at least 200 at the end of the summer.

subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x

simplify to get 300 >= 25x

divide both sides of that equation by 25 to get 300 / 25 >= x

simplify to get 12 >= x

12 >= x means x <= 12.

when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.

when x = 12, what is left in the account is 500 - 25 * 12 = 200.

when x = 11, what is left in the account is 500 - 25 * 11 = 225.

when x = 13, what is left in the account is 500 - 25 * 13 = 175.

the maximum number of weeks he can withdraw money from his account is 12.

Step-by-step explanation:

Answer:

y = mx + b

m being the slope

b being the y intercept

Step-by-step explanation:

Answer:

Point slope formula is as follows:

Answer:

that would be 2

Step-by-step explanation:

The factors of 12 are:

1, 2, 3, 4, 6, 12

The factors of 34 are:

1, 2, 17, 34

The factors of 54 are:

1, 2, 3, 6, 9, 18, 27, 54

The common factors are:

1, 2

The Greatest Common Factor:

GCF = 2

Answer:

-1/3

Step-by-step explanation:

if we use the rise over run method we see a fall of 1 and a run of 3. since we are using fall instead of rise that makes this slope negative. hope this helped :)

9514 1404 393

Answer:

  2 years

Step-by-step explanation:

Use the interest formula with the given information. Solve for t.

  I = Prt

  30 = 500×0.03×t

  30/15 = t = 2 . . . . . . divide by the coefficient of t

The account lasted 2 years.

Answer: あるアルゴリズムが多項式時間で答えを提供できる一般的なクラスの質問は、「クラスP」または単に「P」と呼ばれます。 ...多項式時間で答えを検証できる質問のクラスは、NPと呼ばれ、「非決定論的多項式時間」を表します。

Step-by-step explanation: 恵まれた一日を

Answer: 非決定論的多項式時間

English: nondeterministic polynomial time

Let the number of nuts and bolts be 7x and 9x respectively.

[tex] \tt { \therefore{9x = 36}}[/tex]

Solving the formed equation :

[tex]: \implies \sf 9x = 36 \\ \\ [/tex]

[tex]: \implies \sf x = \cancel{\dfrac{36}{9} }[/tex]

[tex]: \implies{\underline {\boxed{ \tt x = 4 }}}[/tex]

[tex]\huge {\therefore}[/tex] The number of number of nuts are 7x = 7*4 = 28.

Answer:

Step-by-step explanation:

51 feet / 1.5 = 34 bags needed minimum

But trini needs more than 51 bags so:

X>34 is the answer

Answer:

f(-2)=2

Step-by-step explanation:

Replace all x’s with -2’s.

f(-2)=4(-2)+10

f(-2)=-8+10

f(-2)=2

The answer is 2

Answer:

64cm

Step-by-step explanation:

its 10 points

c and d cause each  Px = 4 for c and 10 for d.

Answer:

boys = 15

girls = 18

---

Step-by-step explanation:

g/b = 6/5

g = (6/5)b

g + b = 33

---

g + b = 33

(6/5)b + b = 33

(6/5)b + (5/5)b = 33

(11/5)b = 33

---

b = 33(5/11)

---

Answer:

18 girls

Step-by-step explanation:

Because you have to add the 5 and 6 to get 11. And then you divide the total amount of students (33) by the 11 you got earlier which you get a 3 from.Then you multiply the 3 times the number of girls (6) to get 18 girls. And you would multiply the 3 times the 5 if you wanted to find the number of boys in the art class.

Have a most wonderful day!!

Answer:

I believe it it 13 miles per hour.

Step-by-step explanation:

       We know that an object travels 270 miles, so the rate is 270 miles.

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

                                                      6 hours

1 mile = 5,280 feet                                            1 day = 24 hours

5,280 x 270 = 425,600                                    1 hour = 3600 seconds

270 miles = 425,600 feet                                 3600 x 6 = 21,600

                                                                           3600 x 24 = 86,400

  Fraction:                                                                  Fraction:

425,600 feet        4,256 ft                                      21,600 sec           1

     -------          =       -----                                             ------------   =     --------  hour

 5,280 feet            528 ft                                        86,400 sec           4

4,256/528 ÷ 1/4 = 4,256/528 x 4/1 (reciprocal) = 17,024/528 = 439/33 = 13

Hope this helps! :)

Answer:

You are correct. Remember: rise over run.

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Answer:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

the 2 and 1 represent which number they are in a series of points. For example, if I were to have points (1,2) and (3,4)

4 would be [tex]y_2[/tex] meaning it is the second y value

2 would be [tex]y_1[/tex] meaning it's the first y value

Same goes for x

3 is [tex]x_2[/tex]

1 is [tex]x_1[/tex]

so the equation for slope is [tex]\frac{4-2}{3-1}[/tex], or 1

Answer:

$1.67 per square foot

Step-by-step explanation:

First find the area of the carpet.

A=l times w

A-10(12)

A=120 square feet

Now divide 200 by 120

to find the price divide 200 by 120.

The total cost is rounded to $1.67 per square foot or round it to as many digits in your problem.

Answer:

Step-by-step explanation:

The measure of angle 1 is equal to the measure of angle 2, its proved by using the theorem angle of tangency using arc measure.

Let A be a point on a circle and B be the point where a tangent (passing through B and C) intersects the circle. Then, the angle of tangency ∠ABC is half of the measure of the arc AB formed on the same side.

Given that, Arc AB= Arc CD in circle P.

Here, Arc AB= 1/2 ×m∠1 ------(i)

Arc CD= 1/2 ×m∠2 ------(ii)

Equation (i) and (ii) are equal, we get

1/2 ×m∠1=1/2 ×m∠2

m∠1=m∠2

Hence, proved.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ5

"Your question is incomplete, probably the complete question/missing part is:"

Arc AB= Arc CD in circle P.

Prove that, m∠1=m∠2