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NNADVOKAT [17]
3 years ago
5

Given the figure what is the value of x show your work

Mathematics
1 answer:
Yuri [45]3 years ago
7 0

Answer:

Part 1) The measure of angle F is 73\°

Part 2)The value of x is 17\°

Step-by-step explanation:

Part 1) Find the measure of angle F

we know that

-----> by supplementary angles

Part 2) we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

In this problem

substitute values and solve for x

51\°+(3x+5)\°+73\°=180\°

3x=180\°-129\°

3x=51\°

x=17\°

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slamgirl [31]
C. 71%
It is really .708 but just round it up to .71.
4 0
3 years ago
Read 2 more answers
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned
Pavel [41]

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

7 0
3 years ago
Dracula's bill at the restaurant was $54.83. He left a tip of 15%.
vagabundo [1.1K]

15% as a decimal is 0.15

Multiply the amount of the bill by the percentage:

54.83 x 0.15 = 8.22

The tip was $8.22

3 0
3 years ago
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-UIVIT UUNNU INTEREST
Jobisdone [24]

Answer:

Step-by-step explanation:

Principal, P = $4,000

Interest rate, r = 3% = 0.03

Period, t = 20 years

Number of times compounded in a year = 4

Amount , A = P( 1 + r/n)^tn

A = 4000( 1 + 0.03/4)^4*20

A = 4000( 1 + 0.0075) ^80

A =4000( 1.0075) ^80

A = 4000* 1.818

A = $7272.18

5 0
3 years ago
the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.
Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $5 for going in.

She has 2 whole pounds.

1.25 x 2=2.5 or 2 \frac{1}{2}

Add $5 and $ 2.5 .

5+2.5 = 7.5

Now let's do $1.25 divided by 10.

$$1.25 divided by $10 =0.125

Now let's do 0.125 times 4

0.125 x 4 = 0.5

Now let's add 7.5 to 0.5

7.5+0.5=8

4 0
3 years ago
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