how to calculate angle which is 25 degree?

Answer:

-2

Step-by-step explanation:

The line y=px+2 has slope p

The line 2x+y=5 can be rewritten as y =-2x+5 so it has slope -2.

Since the two are parallel then they must have the same slope. Hence p=-2.

Answer:

p = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes

Thus for y = px + 2 to be parallel to y = - 2x + 5

Then p = - 2

9514 1404 393

Answer:

Step-by-step explanation:

The marked angles at P are a linear pair, so are supplementary:

  (5x +5) +(18x+14) = 180

  23x = 161 . . . . . . . . . . . . . . subtract 19

  x = 7

Those angle measures are ...

  ∠TPQ = (5·7 +5)° = 40°

  ∠TPS = (18·7 +14)° = 140°

__

The marked angle at R is the complement of the acute angle at P, so we have ...

  3y +14 +40 = 90

  3y = 36

  y = 12

  ∠PRS = (3·12 +14)° = 50°

[tex]2 {x}^{2} - 4x + 2 \\ \\ 2(x {}^{2} - 2x + 1 )\\ \\ 2(x - 1) {}^{2} [/tex]

2x² -4x + 2

▶️2x² - 4x + 2

▶️2 (x² - 2x + 1)

▶️2 (x-1)²

=> 2(x−1)²

(sin²(x) - 1)/cos(x) = -1

-cos²(x)/cos(x) = -1

-cos²(x) = -cos(x)

cos²(x) - cos(x) = 0

cos(x) (cos(x) - 1) = 0

Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.

Step-by-step explanation:

2x-18 ≥ 0

2x ≥ 18

x ≥ 9

and

3x -27 ≠ 0

3x ≠ 27

x ≠ 9

so, the answer is <9 ; +oo >

Answer:

its c

Step-by-step explanation:

C. R: (0, 400)

In mathematics, a rational function is any function that can be described by using a rational fraction, which is an algebraic fraction such that each the numerator and the denominator are polynomials. The coefficients of the polynomials need no longer be rational numbers; they'll be taken in any field k.

A rational function is one that can be written as a polynomial divided by a polynomial. for the reason that polynomials are defined everywhere, the domain of a rational feature is the set of all numbers except the zeros of the denominator. example 1. f(x) = x / (x - 3). The denominator has only one 0, x = 3.

Learn more about rational function here

https://brainly.com/question/1851758

#SPJ2

Answer:

1,558 cases of 12 cans of soup can be made

Step-by-step explanation:

Here, we want to calculate how many cases of cans of soup can be made;

In the first part, we had 325 cases of 24 cans Now, if we split the 24 cans into 2 , we have 12 cans ;

So the number of cases is now 325 * 2 = 650 cases

In the second part, we had 227 cases of 48 cans.

If we split 48 cans into 4 , we can have 12 cans.

So the new number of cases here become 227 * 4 = 908 cases.

So the total number of cases we have will be; 908 + 650 = 1,558 cases

Hope it helps :)

Answer:

Step-by-step explanation:

You have to be assured that x really is even. In this case (and the question has a flaw in it) , you assume that x is even. Normally you would multiply x by 2 to get 2x. Now you know it is even, but it is the number not required of you.

So we will assume it is even.

x + x + 2 + x + 4                Combine like terms

x + x + x = 3x

2 + 4 = 6

Answer: 3x + 6

Answer:

The bisector is line l

mq = 7

Step-by-step explanation:

To find x:

[tex]5x-3=11-2x\\\\+2x+3 +3 +2x\\\\\\7x=14\\x=2[/tex]

To find the value of mq

plug in the value of x into the equation.

[tex]11-2x\\11-2(2)\\11-4\\=7[/tex]

MQ = 7

Hope this is helpful! Please leave a review and comment below! Thanks for all your support!  

b. B

PM = RM

[tex]5x - 3 = 11 - 2x[/tex]

[tex]5x + 2x = 11 + 3[/tex]

[tex]7x = 14[/tex]

[tex]x \times 2[/tex]

MQ = [tex]11 - 2x[/tex]

[tex]11 - 2 \times 2[/tex]

[tex]11 - 4[/tex]

[tex] = 7[/tex]

[tex] \large \mathfrak{Answer : }[/tex]

Scientific notation for above vLue is :

Answer:

Answer: KL is 10

Step-by-step explanation:

JL = JK + KL

first get value of x:

[tex]26 = (8x + 8) + (3x + 7) \\ 26 = (8x + 3x) + (8 + 7) \\ 26 = 11x + 15 \\ 11x = 26 - 15 \\ 11x = 11 \\ x = 1[/tex]

therefore,

[tex]KL = 3x + 7 \\ = (3 \times 1) + 7 \\ = 3 + 7 \\ = 10[/tex]

Answer:

The sum is 17,690 nine

Step-by-step explanation:

8₉ + 2₉ = (10)₉ = (9 + 1)₉ = 11₉

4₉ + 4₉ + 1₉ = (9)₉ = (9 + 0)₉ = 10₉

8₉ + 8₉ + 1₉ = (17)₉ = (9 + 8)₉ = 10₉ + 8₉ = 18₉

8₉ + 8₉ + 1₉ = 18₉

So

8848₉ + 8842₉ = 18801₉

Answer:

Step-by-step explanation:

y = x 2 + 91

Explanation:

Let the number be  x

, then  Square of the number is  x ^2

91 more than the square of a number" will be  x^ 2  +  91

So, we can write it as an algebraic expression with two variables as :

y = x ^2  +  91

Answer:

[tex] \sqrt{7x + 2} \\ [/tex]

for answer please see

Step-by-step explanation:

r³ = 125

r = 5 mm

...

V = 5³

V = 125 mm³

...

A = 6 . s²

A = 6 . 5²

A = 6 . 25

A = 150 mm²

#mathisfun

Answer:

Step-by-step explanation:

Subtract both sides by 4w

q - 4w = 4n

Divide both sides by 4

n = q - w

There is probability of 7/8 of not getting yellow.

Answer:

The area of trapezoid is:

Since the area is less than 18 cm², the inequality is:

Simplify by dividing both sides by 6:

Area of trapezoid

Now

Answer:

A

Step-by-step explanation:

Answer:

[tex]36 \div (3 \times 2) - 4 \\ 36 \div 6 - 4 \\ 6 - 4 \\ = 2[/tex]

Answer:

The answer is C

Step-by-step explanation:

Y-y1=m(x-x1), y-5=x-4,y=x+9

Answer:

0.96

Step-by-step explanation:

Answer:

Marcia's cord will begin to stretch after [tex]2.24\:\rm{s}[/tex].

Step-by-step explanation:

The expression used to find displacement is given as,

[tex]s=ut+\dfrac{1}{2}at^{2}[/tex]

The initial velocity of Marcia before leaping is zero, so [tex]u=0\:\rm{m/s^{2}}[/tex].

Marcia travels under the influence of gravity and fall freely so the acceleration due to gravity is only acceleration responsible for her movement.

The value for [tex]g[/tex] is [tex]10\:\rm{m/s^{2}}[/tex](approximately) and when it is converted in [tex]\:\rm{ft/s^{2}}[/tex], it is [tex]32\:\rm{ft/s^{2}}[/tex].

Substituting the values, the distance that Marica travels under influence of gravity for [tex]t[/tex] seconds is,

[tex]\begin{aglined}s&=ut+\dfrac{1}{2}at^{2}\\s&=(0)t+\dfrac{1}{2}gt^{2}\\s&=0+\dfrac{1}{2}(32)t^{2}\\s&=16t^{2}\end{aligned}[/tex]

The bungee cord begins to stretch after Marcia has fallen [tex]80\:\rm{ft}[/tex], so

[tex]\begin{aligned}s&=16t^{2} \\80&=16t^{2} \\t^{2} &=5\\t&=2.24\:\rm{s}\end{aligned}[/tex]

Answer:

simplifed   -10/27

Step-by-step explanation: