Find the measure of each acute angle.

(3x + 2)∘ = and x∘ =

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

Answer:

4x + 17

Step-by-step explanation:

10x+5-2(3x-6)

10x + 5-6x+12

Answer:

Step-by-step explanation:

Answer:

60000 + 3000 + 29

Step-by-step explanation:

The Standard form of 63029 is

60000 + 3000 + 29

-TheUnknownScientist

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

Answer : what do i answer

Step-by-step explanation:

The value of x is 5, the correct option is B

A quadrilateral with one side parallel to the other is a Trapezoid.

The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.

In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.

The length of AB = 12.6

The length of the midline EF = 8.8

The value of x =?

From the definition,

8.8 = (12.6 + x) /2

8.8 * 2 = 12.6 +x

x = 5

Therefore,the correct option is B.

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Answer:

The answer is B.

Step-by-step explanation:

12y5−8y3+24y2

=4y2(3y3−2y+6)

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

r= 9.33%

Answer:

3

Step-by-step explanation:

Given:

Usual cost of a bottle of sparkling water = $1.69 each

This week they are on sale for 4 for $5.

To find:

Did you pay more or less for the bottle this week?

Solution:

We have,

Usual cost of 1 bottle = $1.69

On sale, cost of 4 bottles = $5

On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]

                                         = $1.25

Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.

Hence, you pay less for the bottle this week.

Answer:

hi

Step-by-step explanation:

so i thin is 38.00 why because te  inequality

month 4: 13.25*4=53. 53+50 = 103

month 4: 25.75*4 = 103

They both cost $103 on month 4

Hey,

Length to width ratio ;

[tex] \frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3} [/tex]

`Sorry if it's wrong

Good luck :)

Answer:

Adults living in San Francisco, California

Step-by-step explanation:

The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of  San Francisco who are aged 40 to  50 to find out whether they can buy

an electric vehicle sometime in the next year.

The population it can be generalized to is adults living in San Francisco, California.

A population is defined as the group of all the individual members or objects having some common interest or characteristics.

The individual members are called the sampling units or simply units.

Answer:

adults only who live in San Francisco

Answer:

la forma por el vector -1 5

Step-by-step explanation:

Answer:

x - 2

Step-by-step explanation:

[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]

Answer:

1.  180°   ∑triangle angles=180°

2. 2x

3. 52°

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

if you are doing deltamath

Answer: 225

Step-by-step explanation:

Answer:

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ LAMP is a square

∵ The sides of the square are equal in lengths

∴ LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

∴ x1 = -2 and y1 = -3

∴ x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]

∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]

→ Simplify the root

∴ LA = 2[tex]\sqrt{10}[/tex] units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]

∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]

∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Answer:

D 41/10

Step-by-step explanation:

substitute the values given into the equation. Calculate.

Answer:

D: 41/10

Step-by-step explanation:

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

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Answer:

0 solutions

Step-by-step explanation:

when the 2 equations aresolved they get cancelled off each other.

Answer:

Infinite solutions

Step-by-step explanation:

got it right

the answer is B

your welcome

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

For a pentagon with n = 5 , then

sum = 180° × 3 = 540° , thus

x = 540° ÷ 5 = 108

For an octagon with n = 8, then

sum = 180° × 6 = 1080° , thus

y = 1080° ÷ 8 = 135

Thus

x + y = 108 + 135 = 243 → D

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)