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Debora [2.8K]
3 years ago
7

The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

x=7

Step-by-step explanation:

9x+20x+16+12x+10+7x-2=360

48x+24=360

48x=360-24

48 x=336

x=336/48=7

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The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re
dangina [55]

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

7 0
3 years ago
What does "opposite semi-planes of segment" mean?
alexdok [17]

Answer:

opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.

Step-by-step explanation:

4 0
3 years ago
Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. At the end
navik [9.2K]

Answer: $4900 at 8%

$6000 at 11%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 8% interest.

Let y represent the amount which he invested in the account paying 11% interest.

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. This means that

x + y = 10900

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 8% interest,

P = $x

T = 1 year

R = 8℅

I = (x × 12 × 1)/100 = 0.08x

Considering the account paying 11% interest,

P = $y

T = 1 year

R = 11℅

I = (y × 6 × 1)/100 = 0.11y

At the end of the first year he had earned $1052 in interest., it means that

0.08x + 0.11y = 1052 - - - - - - - - - -1

Substituting x = 10900 - y into equation 1, it becomes

0.08(10900 - y) + 0.11y = 1052

872 - 0.08y + 0.11y = 1052

- 0.08y + 0.11y = 1052 - 872

0.03y = 180

y = 180/0.03

y = 6000

x = 10900 - y = 10900 - 6000

x = 4900

3 0
3 years ago
Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.
riadik2000 [5.3K]
Let's solve your inequality step-by-step.

<span><span><span>5x</span>+3</span>><span><span>4x</span>+7

</span></span>Step 1: Subtract 4x from both sides.

<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x

</span></span></span><span><span>x+3</span>>7

</span>Step 2: Subtract 3 from both sides.

<span><span><span>x+3</span>−3</span>><span>7−3

</span></span><span>x>4

</span>Answer:

<span>x><span>4</span></span>
4 0
3 years ago
Read 2 more answers
Consider the substances below.
NikAS [45]
They have different masses
5 0
1 year ago
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