Find the value of x.
22°, 140°, x°
a.
18

b.
28

c.
8

d.
12

Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

the sum of 21,,,,,,,,,,, is The sum =178

Answer:Yes she can.

Step-by-step explanation:well a circle is 360 degrees and she has already used 60 and 75 degrees so 360-60-75= 225 degrees so yeah, she can still draw a 200 degree angle.

Hi there!

How are you?

Answer:

\(\boxed{C. \frac{84}{5}}\)

Have a great day/night!

The options given don't match with the right answer. The right answer is 7/18.

The simplified form of the given expression 2/2·7/18 is 7/18.

A fraction is said to be in its simplest form when the numerator and the denominator of the fraction are co-prime to each other. Co-prime means that they don't have any common factor between them except 1.

We are given the fractional expression (2/2)(7/18).

We first perform the given multiplication to us:(2/2)(7/18) = (2*7)/(2*18) = 14/36

Now, we write the numerator and denominator as a product of their prime factors.

14/36 = (2*7)/(2*2*3*3).

We cancel the common terms from the numerator and the denominator.

∴ 14/36 = (7)/(2*3*3) = 7/18

.∴ The simplified form of the given expression 2/2·7/18 is 7/18.

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Answer:

Step-by-step explanation:

Let the numbers be x and y.

The equations are:

Add up the equations to eliminate y and solve for x:

Now find the value of y:

Let the numbers be a and b

Adding both

\(\\ \sf\longmapsto 3a=15\)

\(\\ \sf\longmapsto a=5\)

Putting in eq(1)

\(\\ \sf\longmapsto 5-b=2\)

\(\\ \sf\longmapsto b=5-2\)

\(\\ \sf\longmapsto b=3\)

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)

The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.

This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.

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Answer: North Africa is separated from the Iberian Peninsula by the Strait of Gibraltar, which connects the Mediterranean Sea with the Atlantic Ocean.

Answer:

By the straight of Gibraltar

Answer:

\(3a + b = 14\)

\(b = 4a\)

Step-by-step explanation:

Key:

a = 3 point throws

b = Free throws

Total points = 14

Required

Determine the system of equations

\(Total\ points = 14\) implies that:

\(3 * a + b = 14\)

\(3a + b = 14\)

4 times as many b as a implies that:

\(b = 4 * a\)

\(b = 4a\)

So, the system of equations are:

\(3a + b = 14\)

\(b = 4a\)

just here for the points :l

Answer:

$29,400

Step-by-step explanation:

12.25 × 8 × 300 = 29,400

Answer:

2

Step-by-step explanation:

a10=a1+(n-1)d

15=-3+(10-1)d

15+3=9d

d=2

Answer:

791,800

Step-by-step explanation:

Answer: 791800

Step-by-step explanation:

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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Answer:

3/11

Step-by-step explanation:

First find the slope of the line

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

    = ( 7 - -4)/(2 - 5)

    = (7+4)/(2-5)

   =11/ -3

We want a line that is perpendicular, so it is the negative reciprocal

-1 / ( -11/3)

+3/11

A line that is perpendicular will have a slope that is 3/11

Check the picture below.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}\)

The coordinates of A' after the dilation is A' = (6, 4)

The coordinate of A is given as

A = (3, 2)

The rule of dilation is given as

(x, y) to (2x, 2y)

The above means that, we multiply the coordinates of A by 2

So, we have

A' = (2 * 3, 2 * 2)

Evaluate the products

So, we have

A' = (2 * 3, 4)

Evaluate the products

So, we have

A' = (6, 4)

Hence. the coordinates of A' after the dilation is A' = (6, 4)

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Possible question

(3,2) is dilated using the rule (x,y) to (2x,2y). What are the coordinates of ‘A

Answer:

x + 7 and x + 5 are possible dimensions

Step-by-step explanation:

x² + 12x + 35 ← factor the quadratic

consider the product of the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

the factors are + 7 and + 5 , since

7 × 5 = + 35 and 7 + 5 = + 12 , then

x² + 12x + 35 = (x + 7)(x + 5) ← in factored form

now the area A = length × breadth , that is

A = x² + 12x + 35 = (x + 7)(x + 5) , then

length = x + 7 or x + 5

breadth = x + 5 or x + 7

Answer:

Step-by-step explanation:

Surface area of a cylinder:

Substitute values:

Matching choice is C

Answer:

24% of the U.S. states have names that start with vowels

Step-by-step explanation:

12 ÷ 50 = 0.24

0.24 × 100 = 24%

Answer:

24 % of the U.S. states' names start with a vowel

Step-by-step explanation:

12 out of 50 vcan be written in math terms as;

12 / 50 which equals the decimal form of a percent as shown;

12 / 50 = 0.24

which in percent form is: 24 %

Answer: first one

Step-by-step explanation:

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The length would be 86 yards.

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer:

10023

Step-by-step explanation:

ysujekototuirutijy

Explanation:

Using elimination method:

We need the coeeficient of the letter we want to eliminate to have same coefficient

To eliminate x, we will multipkly equation (1) by 2:

2(2x) - 2(y) = 2(1)

4x - 2y = 2 . . .(3)

combinig equation (2) and (3):

4x - 2y = 2

4x -

Answer:

4*9

Step-by-step explanation:

It's obvious.

Answer:

C

Step-by-step explanation:

Cos the value of the variable can only be found when in an equation together with it's coefficient

Answer:

i dont care

Step-by-step explanation: