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Georgia [21]
3 years ago
9

What is the area of the figure?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0
We see that the shape is made up of 2 shapes:
trapezoid and triangle
(trapezoid is on top of upside down triangle)

area of trapezoid=(1/2)(b1+b2)(h)
area of traignel=(1/2)(b)(h)

area of trapezoid
b1=14
b2=18
h= ok so total height=17 and 12 is taken up by triangle os therefor h=17-12=5

A=(1/2)(14+18)(5)
A=(1/2)(32)(5)
A=(16)(5)
A=(80)




now area of triangle
H=12
B=18
A=(1/2)(18)(12)
A=(9)(12)
A=108

add
80+108=188


total area=188mm^2
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GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED
Scrat [10]
Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5     /5
18 = y

Angle 1: 2y + 50
              2(18) + 50
              36 + 50
              86

Angle 2: 3y + 40
              3(18) + 40
              54 + 40
              94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
        2 = 3x - 7
        9 = 3x
       /3    /3
        3 = x

Side 1: 5x + 2
            5(3) + 2
           15 + 2
           17

Side 2: 8x - 7
            8(3) - 7
            24 - 7
            17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17
6 0
3 years ago
Bill works for the Stuff It Mailing Service. He receives 25 cents for each document he puts together and prepares for
KATRIN_1 [288]

Answer:

(a)Bill's Total piecework pay =$500

(b)Amount owed by his boss=$26

Step-by-step explanation:

Let the number of documents put together and prepared for mailing by Bill =x

Bill receives 25 Cents=$0.25 for every document

Therefore for x documents, Bill should receive: $0.25x

If Bill prepared 2000 documents for mailing

x=2000

The amount he should receive = $0.25 X 2000 =$500

(a)Bill's Total piecework pay =$500

(b)Amount owed by his boss

=500-474

=$26

3 0
3 years ago
What is the sum of two consecutive odd numbers is 44 what is the greater of the two numbers
MArishka [77]
The bigger one is 23.
8 0
2 years ago
Write an equation of the line in slope-intercept form.<br><br> f(0)=9, f(2)=4
Lerok [7]

Answer:

f(x)=-\frac{5}{2}\\x+9

Step-by-step explanation:

Use the slope formula and slope intercept formula form y=mx + b to find the equation

3 0
2 years ago
Pippa had 35 stickers.
Ivan

Answer: 3 stickers

Step-by-step explanation:

From the question, we know that Pippa's 8 friends have an equal amount of stickers, meaning that the number of stickers that Pippa gave out is a multiple of 8.

Also, we are able to know that Pippa gave as much as she can, meaning that she gave out the stickers until the number is the maximum multiple of 8.

First Five Multiple of 8 = 8, 16, 24, 32, 40

As we can see from the list, 8, 16, and 24 are all multiples of 8, but they are not the maximum number that could fit under 35 stickers. Similarly, 40 exceeds the number of stickers Pippa has. Thus, we are left with 32.

This means, Pippa gave out 32 stickers in total, and each friend got 4 stickers.

  • 32 / 8 = 4 stickers

Also, this means Pippa would keep <u>3 stickers</u> for herself.

  • 35 - 32 = 3 stickers

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
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