find the value of x

​

Answer:

12

Step-by-step explanation:

End points of [tex]\overline{RS}[/tex] are:

[tex]R (4, \:-8)\implies x_1 = 4,\: y_1=-8[/tex]

[tex]S (25, \:-1)\implies x_2 = 25,\: y_2=-1[/tex]

Point T divides [tex]\overline{RS}[/tex] in the ratio 4 : 3

[tex]\implies m = 4,\: n= 3[/tex]

Now, by section formula:

[tex]T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)[/tex]

Plugging in the values of [tex]x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n[/tex] in the above formula, we find:

[tex]T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)[/tex]

[tex]\implies T=(16,\:\:-4)[/tex]

Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12

Answer:

[tex]9\frac{52}{69} - 1 \frac{29}{50} [/tex]

[tex] \frac{673}{69} - \frac{79}{50} [/tex]

[tex] \frac{673}{69} to \: the \: nearest \: whole \: number \: is \: 10[/tex]

[tex] \frac{79}{50} to \: the \: nearest \: whole \: number \: is \: 2[/tex]

[tex] > > > 10 - 2 = 8[/tex]

Answer:

$ 12 000.

Step-by-step explanation:

(175 000 + 225 000) * .03 =

Answer:

Step-by-step explanation:

3*5=15

8*16=128

10*7=70

4*3/2=6

15+6+70+128=219

Answer:

219 yd²

area of rectangle

area of 2nd rectangle

area of rectangle

area of triangle

total area:

Step-by-step explanation:

The answer is class 1!!!!!

Answer:

x = 8, y = 6/√3.

Step-by-step explanation:

The smaller triangle and the larger triangle are similar.

4 / 4√3 = (x - 6) / y

1/√3  =  (x - 6) / y

Also

y/6 = 1/√3

⇒ √3y = 6

⇒ y = 6/√3

Substitute for y in the first equation:

1/√3  =  (x - 6) / 6/√3

⇒ 1/√3 * 6/√3 = x - 6

⇒ x - 6 = 2

⇒ x = 8

Answer:

The slope is -8 and the y intercept is -6

Step-by-step explanation:

The first numbers are the slopes and the one after that is the y intercept. ALWAYS

Answer:

The percent decrease or discount she received was 40%

Step-by-step explanation:

Answer:

100 in^2

Step-by-step explanation:

Four right triangles      area of each = 1/2 b * h      each has b = 5   h = 10

 apparently not drawn to scale

4  *   1/2 ( 5 * 10)  = 100 in^2

Answer:

32.9

Step-by-step explanation:

7*9.4/2=32.9

Answer:

A 406 of answer your question please sorry

Answer:

Step-by-step explanation:

(9√5)   (5√10)

The leading interger product is found by multiplying 9 and 5

The leading integer product is 9*5 = 45

The radical product is (√5*10

Factor 10

radical product = √5*2*5

There are 2 fives underneath the radical. Take one out and ignore the other

radical product = 5√2

The 5 now multiplies by 45 and √2 becomes part of the answer

5*45√2

225√2

Answer:

60/77 the answer is not able to be an improper fraction

Step-by-step explanation:

3/7+9/11

33/77+27/77

60/77

Answer:

40 is an addend in an addition

40 is the y-intercept if the question really is y = 7.5x + 40.

Step-by-step explanation:

40 is just a number in a sum of 2 numbers.

Perhaps you meant

y = 7.5x + 40

If that is the case, then 40 is the y-intercept.

Answer:

i³ = -i

Step-by-step explanation:

i³ can be rewritten as i² · i

i² = -1

-1 · i = -i

Hope this helps!

Answer:

3 7/8 liters of rice

Step-by-step explanation:

[tex]1 \frac{5}{8} + 2 \frac{1}{4} [/tex]

[tex]1 \frac{5}{8} + 2 \frac{2}{8} = 3 \frac{7}{8} [/tex]

Answer:

a) 803.84 square feet

Step-by-step explanation:

[tex]\sf{area~of~circle~=~\pi r^{2} }\\\sf{radius~ =~half~of~diameter}[/tex]

so 32 / 2 = 16 = radius

[tex]\sf{radius^{2} = 16^{2}=256}[/tex]

256 x 3.14 (because we are taking π as 3.14)

= 803.84

Hope this helps! If you need any further explanation, let me know!

- profparis

Answer:

9 feet

Step-by-step explanation:

v = lwh (volume equals length times width times height)

75.6 = 4 x 2.1 x d

multiply l and w, which is 4 x 2.1

75.6 = 8.4 x d

divide 75.6 by 8.4

9 = d

Answer:

The value of j is 9feet

Step-by-step explanation:

[tex] \hookrightarrow \sf \: v = whl[/tex]

⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]

⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]

Step 1: Simplify both sides of the equation.

⇒[tex] \sf {75.6=8.4j}[/tex]

Step 2: Flip the equation.

⇒[tex] \sf {8.4j=75.6}[/tex]

Step 3: Divide both sides by 8.4.

⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]

⇒[tex] \sf {j=9}[/tex]

Answer:

48 sq m

Step-by-step explanation:

Given quadrilateral is a parallelogram.

Here,

Base = 8 m

Height = 6 m

Area of parallelogram = Base * Height

-> Area = 8 * 6 = 48 sq m

The discount price of the lawn mower purchased by the store is  $193.45.

The first step is to determine the selling price of the lawn mower.

Selling price = ( 1 + 1.60) x $82.67 = 214.94

Now determine the price after the discount has been applied.

Discount price = (1 - 0.1) x 214.94 = $193.45

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Answer:

of Example 6

5 and 14

Step-by-step explanation:

IN EXAMPLE 6

Opposite angles are equal so you equate the first one like this

3x + 20 = 10x - 15

15 + 20 = 7x

35/7 = x

x = 5

In next question b

It is a straight line thus it's 180°

so 4n + 22 +8n -10 = 180

12n + 12 = 180

12n = 180 - 12

n =168÷ 12

n = 14

answer:24

Step-by-step explanation:

The use of BODMAS .We must solve the bracket first before the multiple

Answer:

Sarah reads 4 pages in the morning and 6 pages at night for 2 days. What is the total number of pages that Sarah read?

Step-by-step explanation:

If Sarah read 4 pages in the morning and 6 pages at night for 2 days the would equal 4+6x2

4 is the number of pages in the morning

6 is the pages at night

and 2 is the number of days that she read the pages

Answer:

well yeah no one likes math i mean unless you mark zuckerberg

Step-by-step explanation:

Answer:

obtuse angle is 155'

Reflex angle is 205'

Step-by-step explanation:

Just add the angles between the arecs

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x+3) = x - 4

==> distribute the 2

2x + 6 = x - 4

==> add 4 to both sides

2x + 10 = x

==> subtract 2x from both sides

10 = -x

==> divide both sides by -1

x = -10

b)

4(5x - 2) = 2(9x + 3)

==> distribute the 4 and 2

20x - 8 = 18x + 6

==> add 8 to both sides

20x = 18x + 14

==> subtract 18x from both sides

2x = 14

==> divide both sides by 2

x = 7

First find out the value of big triangle and small triangle and - Big triangle and small triangle

Answer:

The area of sector is 4.71mi^2

Step-by-step explanation:

The area of the sector that Marla needs to remove is (3/2)π square feet.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.

We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.

Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.

We are given that;

Central angle = 60°

The radius of the circle = 3 feet.

Now,

To find the area of the sector that Marla needs to remove, we can use the formula:

A = (θ/360)πr^2

where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).

Plugging in the values we know, we get:

A = (60/360)π(3)^2 A

= (1/6)π(9) A

= (3/2)π

Therefore, the area of the fabric will be (3/2)π square feet.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ3

The 90% confidence, 95% confidence and 99% confidence have a z critical value of 1.65, 1.96 and 2.58 respectively.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

From the normal distribution table:

The z critical value for 90% confidence, 95% confidence and 99% confidence is 1.65, 1.96 and 2.58 respectively.

Find out more on z score at: https://brainly.com/question/25638875

Answer:

90% confidence:

1.645

95% confidence:

1.960

99% confidence:

2.576

Step-by-step explanation:

EDGE2022

Answer:

Step-by-step explanation: