The midpoint of AB is M (-6,-4). If the coordinates of A are (-4,-3), what are the coordinates of B

Find the area of the composite figures. Use 3.14 (pie) when needed

Whitepunk [10]

Answer:

288 cm²
61 ft²

Step-by-step explanation:

The dashed lines are included in the figure to help you see how it can be decomposed into shapes you know the area formulas for.

The relevant area formulas are ...

rectangle: A = LW . . . . . product of length and width

triangle: A = 1/2bh . . . . . half the product of base and height

__

There are three rectangles here:

left: A = (8 cm)(9 cm) = 72 cm²

top: A = (12 cm)(9 cm) = 108 cm²

lower right: A = (12 cm)(9 cm) = 108 cm²

The total area of these three rectangles is ...

(72 +108 +108) cm² = 288 cm²

The area of Figure 1 is 288 cm².

__

There is a rectangle here, along with a triangle.

rectangle: A = (10 ft)(4 ft) = 40 ft²

triangle: A = 1/2(6 ft)(3+4 ft) = 21 ft²

The total area of the parts of the figure is ...

(40 +21) ft² = 61 ft²

The area of Figure 2 is 61 ft².

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<em>Additional comment</em>

Figure 1 can be decomposed other ways:

an overall 18×20 cm rectangle with a 9×8 cm rectangle removed from the upper left corner
a 9×20 rectangle at the bottom with a 9×12 rectangle at the top
a 9×8 rectangle at the left with an 18×12 rectangle at the right

Another way to decompose Figure 2 is as a trapezoid with a rectangle removed from the lower left. The trapezoid would have bases 10 and 10+6=16, and a height of 4+3=7. The removed rectangle is 10×3. (The computation we did is probably simpler.)

5 0

2 years ago

For question 6 what is that value of x?<br><br> For question 7 find m

forsale [732]

(6) Given that in ΔPQR, m∠P = (x+14)°, m∠Q = (6x-12)° and m∠R = (3x+8)°

We need to determine the value of x.

<u>Value of x:</u>

By triangle sum property, we have;

$\angle P+\angle Q+\angle R=180^{\circ}$

Substituting the values, we get;

$x+14+6x-12+3x+8=180$

$10x+10=180$

$10x=170$

$x=17$

Thus, the value of x is 17

(7) Given that ΔGHI, m∠G = (4x+13)°, m∠H = (8x-52)° and m∠I = (2x+4)°

We need to determine the measure of ∠G

<u>Value of x:</u>

By triangle sum property, we have;

$\angle G+\angle H +\angle I=180$

Substituting the values, we get;

$4x+13+8x-5+2x+4=180$

$14x+12=180$

$14x=168$

$x=12$

Thus, the value of x is 12.

<u>The measure of ∠G:</u>

Substituting x = 12 in m∠G = (4x+13)°, we get;

$m\angle G=(4(12)+13)^{\circ}$

$m\angle G=(48+13)^{\circ}$

$m\angle G=61^{\circ}$

Thus, the measure of angle G is 61°

3 0

3 years ago

How do you find the area of a circle

marissa [1.9K]

Answer:

πr²

Step-by-step explanation:

(pi times radius of circle)²

6 0

3 years ago

Read 2 more answers

Please prove or explain how to get AC, CM, & CP...<br><br> AC = 15<br> CM = 20<br> CP = 12

katovenus [111]

<h3>Explanation:</h3>

All of the right triangles are similar by AA similarity, so corresponding side lengths are proportional. The ratio of the long leg to the short leg is the same for the two smaller triangles, for example:

CP/AP = MP/CP

CP/9 = 16/CP . . . . . fill in the given numbers

CP² = 9·16 . . . . . . . multiply by 9·CP

CP = 3·4 = 12 . . . . . take the square root

Now, you can use the Pythagorean theorem to find AC and/or CM.

AC = √(9² +12²) = √225 = 15

CM = √(12² +16²) = √400 = 20

In summary, CP = 12, AC = 15, CM = 20.

_____

Once you have CM, you can see these are 3-4-5 right triangles, so you can determine the other lengths by using these side ratios.

3:4:5 = 9:12:15 = 12:16:20

_____

The altitude CP is called the "geometric mean" of AP and MP. It is the square root of their product. This is true for <em>any</em> right triangle, not just one with sides in the ratio 3:4:5. If you know this, you can write down your answers almost immediately. Above, we had to derive this fact using similarity.

5 0

3 years ago

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide

statuscvo [17]

The formula can be used to determine how many students are required to earn $1,500 in profit.t:

5.n - 100 - 200 = 1500.

<h3>What is linear equation?</h3>

An equation is deemed to be linear if a variable's maximum power consistently equals 1. Another name for it is a one-degree equation. The form of the linear equation Ax + B = 0 is standard for one-variable linear equations. In this instance, as well as A are variables while B is a constant.

Ax + By = C is the standard form of a two-variable linear equation. This equation contains the variables x and y, the coefficients Both a B, as well as the constant C.

<h3>According to the given data:</h3>

Given that the no. of students is n.

DJ charge - $200 Decorations cost - $100

Charge each student should pay - $5.00

Therefore the equation that find the no. of students to make a profit of $1,500.5.n - 100 - 200 = 1500

To learn more about linear equation visit:

brainly.com/question/2030026

#SPJ9

7 0

1 year ago