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2 years ago

The measures of the angles of a quadrilateral are in the

Mathematics

1 answer:

bearhunter [10]2 years ago

7 0

Answer:

140

Step-by-step explanation:

Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.

It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.

Therefore the ratio you have been given must have 4 angles that add to 360.

2x + 3x + 6x + 7x = 360

18x =360

x = 20

So the 4 angles are

2* 20 = 40

3*20 = 60

6*20 = 120

7*20 = 140

Total 360

The largest angle is 140

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Px + qy = r<br> 2px - qy = 2r<br> When solving this system of equations, x =

VladimirAG [237]

Px + qy = r
2px - qy = 2r
----------------add
3px = 3r

x = 3r/3p
x = r/p

8 0

3 years ago

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Solving multi step equations 5/6k + 2/3 = 4/3

Tpy6a [65]

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD. It is 6. Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:

5k = 4

Solve for k: k = 4/5

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3 years ago

Please only answer if you know

marusya05 [52]

Answer:

A, C

Step-by-step explanation:

A.)

32 / 8 * 5.25 ----> 4 * 5.25 ----> 21

C.)

4 * 12.5 / 2----> 49 / 2 ----> 24.5

6 0

3 years ago

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Can you put (4,-3),y=3x-5

Brut [27]

No because 3 time 4 is 12 and 5 minus 12 does not equal -3

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3 years ago

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