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3 years ago

What does interior angle A of the polygon in the figure equal?

Mathematics

2 answers:

astra-53 [7]3 years ago

7 0

Answer:

The correct option is C.

Step-by-step explanation:

The sum of interior angles of any polygon is defined as

$S=(n-2)\times 180^{\circ}$

Where n is number of vertices of polygon.

From the given figure it is noticed that the number of vertices is 6. So, the sum of interior angles is

$S=(6-2)\times 180^{\circ}=720^{\circ}$

One exterior angle of 130 degree is given in the figure. So, the interior angle on that vertex is

$360-130=230$

Now, add all the interior angles.

$S=50+100+120+A+110+230$

$S=A+610$

Since the sum of interior angles is 720, therefore

$720=A+610$

Subtract 610 from both sides.

$720-610=A+610-610$

$A=110$

Therefore option C is correct.

JulsSmile [24]3 years ago

3 0

C.110 hopefully that's the right answer

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A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be neede

Mashutka [201]

Answer:

4 bags

Step-by-step explanation:

50 people = 4 cups

300 people = 24 cups

24 cups ÷ 6 cups a bag = 4 bags

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2 years ago

Four Friends decided to host the grand opening of their bar on St. Patrick’s Day. They built their bars at different distances f

klio [65]

John's Bar 60 km away from Ben's Bar.
Doug's Bar is 40 km away from Kieran's Bar
John's Bar is 10 km nearer to Doug's Bar than Kieran's Bar

If I am to assume that these bar are in a liner position,

Ben's Bar Kieran's Bar John's Bar Doug's Bar
************* 60km*******************

*****************40 km ********************

*********30 km**************

Doug's Bar is 90 km away from Ben's Bar.

Ben to John = 60 km
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8 0

3 years ago

PLEASE I REALLY NEED HELP!

vagabundo [1.1K]

Answer:

$\frac{3}{28}$

Step-by-step explanation:

Probability (P) is calculated as

P = $\frac{requiredoutcome}{count}$

The first required outcome is a red sweet from a total of 3 + 5 = 8

P( red) = $\frac{3}{8}$

There are now 2 red left and a count of 7, since 1 has been eaten, thus

P( second red ) = $\frac{2}{7}$

P( red and red ) = $\frac{3}{8}$ × $\frac{2}{7}$ = $\frac{6}{56}$ = $\frac{3}{28}$

6 0

3 years ago

Can someone solve and explain how to do these absolute equations for 40 points? I'll give brainliest to the best correct answer.

irga5000 [103]

Answer:

Explanation Below

Step-by-step explanation:

1. -4 + | x - 1 | = 3

= -4 + | x - 1 | + 4 = 3 + 4

= | x - 1 | = 7

= x - 1 = -7 or x - 1 = 7

= x = -6 or x = 8

2. 6 + 4 | 2x + 6| = 14

= 6 + 4 | 2x + 6 | - 6 = 14 - 6

= 4 | 2x + 6 | = 8

= 4 | 2x + 6 | / 4 = 8/4

= 2x + 6 = -2 or 2x + 6 = 2

= x = -4 or x = -2

3. -10 + | -6 - x | = 1

= -10 + | -6 + x | + 10 = 1 + 10

= | -6 - x | = 11

= -6 - x = -11 or -6 - x = 11

= x = -17 or x = 5

4. | 7 - 2x | + 4 = 5

= | 7 - 2x | + 4 - 4 = 5 - 4

= | 7 - 2x | = 1

= 7 - 2x = -1 or 7 - 2x = 1

= x = 3 or x = 4

Here are the Steps:

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Hopes this Helps :D

Mark me Brainliest : )

4 0

2 years ago

A box of 24 greeting cards is sold at a gift shop for $3.00. The cost to the store is $2.40. What is the markup as a percentage

Murljashka [212]

Answer:

25%

Step-by-step explanation:

formula for percent markup/discount= absulute value of original-new/original

plug the numbers is

(2.40-3.00/2.40) absolute value=0.25

0.25 as a percent is 25%

8 0

3 years ago