The sum of ages of Paula and her mother is 48. Her mother is 12 years more than twice as old as Paula. Use a linear system to determine the ages of Paula and her mother.

Answer:

∠ FEG = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

110° is an exterior angle of the triangle, then

5x + 6x = 110

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ FEG = 5x = 5(10) = 50°

Answer: it’s d. 20 .

Given:

The expression is:

[tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex]

On simplification, we get

[tex]\sqrt{1.69}-\sqrt[3]{0.001}=1.3-0.1[/tex]

[tex]\sqrt{1.69}-\sqrt[3]{0.001}=1.2[/tex]

Therefore, the value of the given expression [tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex] is 1.2.

Given:

A circle with center Z and the points W, X, Y are on the circumference of the circle.

To find:

The measure of angle WXY.

Solution:

From the given figure, we get

[tex]Arc(XY)=156^\circ[/tex]

[tex]Arc(WX)=86^\circ[/tex]

The measure of arc of the complete circle is 360 degrees.

[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]

[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]

[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]

[tex]Arc(WY)=118^\circ[/tex]

The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.

[tex]m\angle WZY=118^\circ[/tex]

According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.

[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]

[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]

[tex]m\angle WXY=59^\circ[/tex]

Therefore, the correct option is A.

Answer:

x ≥ = 5

Step-by-step explanation:

5x + 6 ≥ = 31

5x ≥ = 25

x ≥ = 5

Answer:

okay i will

Step-by-step explanation:

Answer:

Step-by-step explanation:

Portrait is in the shape of a rectangle.

And the area of a rectangle = Length × Width

Let the length of the portrait = l

And width of the portrait = w

Area of the portrait = lw

lw = 40

l = [tex]\frac{40}{w}[/tex]

Perimeter of a rectangle = 2(Length + width)

Perimeter of the portrait = 2(l + w)

26 = 2(l + w)

l + w = 13 ----------(2)

By substituting the value of 'l' in equation (1) from equation (2)

[tex]\frac{40}{w}+w=13[/tex]

40 + w² = 13w

w² - 13w + 40 = 0

w² - 8w - 5w + 40 = 0

w(w - 8) - 5(w - 8) = 0

(w - 5)(w - 8) = 0

w = 5, 8 feet

From equation (2)

l = 8, 5 feet

Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).

Step-by-step explanation:

girls=36%

boys=100%-36%

=64%

boys:48=64%

?=100%

*you cross multiply to get

75 as the total students

Answer:

x ≤ -27

Step-by-step explanation:

multiply each side by -9

when multiplying or dividing an inequality by a negative value you must reverse the inequality symbol

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

Step-by-step explanation:

b=4, so

7²+4²=c²

49+16=c²

65=c²

Sq root both sides

8.06=c

Answer:

Step-by-step explanation:

The M.A.D is 12.24, also u meant to put the first 95 as a 90 lol.

Answer:

The M.A.D is 12.24

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Pythagorean theorem

Answer:

x=75

Step-by-step explanation:

Sum of the interior angles of a trapezoid = 360°

That being said we can calculate the measure of the missing angle (x) by subtracting the given angles (131, 107 and 47) from 360

so x = 360 - 131 - 107 - 47

360 - 131 = 229

229 - 107 = 122

122 - 47 = 75

so x = 75

Answer: 80 square centimeters

mark me brainlist pls

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The line rises up 8, and the run is 2, 8/2=4.

Answer:

the item  would cost 25.65

Step-by-step explanation:

Answer:

7 1/4 pounds

[tex]4\frac{7}{8} + 2\frac{3}{8}[/tex]

[tex]6\frac{7 + 3}{8}[/tex]

= [tex]6\frac{10}{8}[/tex]

convert the improper fraction to a mixed fraction

10/8 = 1 2/8 = 1 1/4

Add the 1 1/4 to 6 = 7 1/4

Step-by-step explanation:

Kelly buys 4 7/8 pounds of apples and 2 3/8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work

Step-by-step explanation:

25x = 1252 - x

We know that in order to solve this equation, we have to move all the x terms to one side and all of the coefficients to the other. So, if we add x to both sides, we get 26x = 1252.

Then, we can divide both sides of the equation by 26 to solve for x, so x≅48.15 or x = 48.153846 repeating.

Answer:

1/5

Step-by-step explanation:

divide both numerator and denominator by 10, with equals to 1/5

Answer:

1/5

Step-by-step explanation:

find the gcf of each which is ten and divide each number by that, you'll get 1/5.

If that doesn't make sense try this:

If both the numbers are even, 2 can go into each do start dividing each by that like this:

10/50 ---> 5/25 Now we see that 5 can go into both of these numbers to make 1/5

Answer:

260

Step-by-step explanation:

Multiply all of the numbers together

Answer:

D. Corey!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

Jake need 5.59 cup of sugar

Answer:

The ball will strike the ground at time t = 21sec .

Answer:

10500 dollars

Step-by-step explanation:

350,000 * .03 = 10500

We can solve for the missing side length, <B, and from those find the side lengths in comparison to the others.

Using the Law of triangles, we can find angle B from 180-63-50=67

From the angle lengths, the greatest's opposing side lengths will also be of the same varying length. The greatest angle length is <B, then <A, and <C. This means that the order of side lengths would be AC, BC, AB

Answer:

$73.50

Step-by-step explanation:

875*0.084=73.5

Answer:

A, B, D and F.

Step-by-step explanation:

Volume of A = 1/3 pi r^2h = 1/3 pi 3^2 12

= 36pi unit^3.

B also = 36pi.

C = 1/3 pi 6^2 * 6

=  72 pi.

D. =  4 * pi r^2

= 4*9 pi

= 36pi.

E. v = 1/3 * 12pi * 3

= 12pi.

F. = 3 *4 *3pi

= 36pi.

G. V =  1/2 * 3 *4 * 3pi

= 18pi.