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levacccp [35]
3 years ago
10

Find the value of -7 + (-9) + 11 + 8.

Mathematics
1 answer:
Triss [41]3 years ago
8 0
Good day ^-^ ///////////////

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What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°
strojnjashka [21]

*see attachement for diagram

Answer:

∠P = 140°; ∠S = 40°

Step-by-step explanation:

The figure given is a parallelogram.

Consecutive angles (adjacent angles) of a parallelogram are supplementary.

Therefore:

(x + 15)° + (6x - 10)° = 180°

Solve for x

x + 15 + 6x - 10 = 180

Add like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25

✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)

m<P = 6x - 10

Plug in the value of x

m<P = 6(25) - 10 = 140°

✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)

m<S = x + 15 = 25 + 15 = 40°

5 0
3 years ago
There are 2 squares, and the ratio of their perimeters is 5:8. If the area of the first square is 225m², then what is the area o
nata0808 [166]

we know that

the ratio of the perimeters is equals to the scale factor

scale factor=5/8

scale factor=measure smaller square/measure larger square

 

let

smaller square=first square

larger square=second square

 

area smaller square=[scale factor]²*area larger square

so

area larger square=area smaller square/[scale factor]²

scale factor=5/8

area smaller square=225 m²

area larger square=225/[5/8]²----> 225/(25/64)-- > 225*(64/25)----- > 576 m²

 

the answer is

the area of the  second square (larger square) is 576 m²


7 0
3 years ago
In a store, 9/200 of the shirts are pink and 69/600 are orange. What percent of the shirts are not pink or orange?​
pychu [463]

Answer:

84%

Step-by-step explanation:

The percentage of pink shirts

= 9/200 × 100%

= 9/2

= 4.5%

The percentage of orange shirts

= 69/600 × 100%

= 69/6

= 11.5%

The percentage of the shirts which are not pink or orange

= 1 - 4.5% - 11.5%

= 84%

<u>Alternative</u>

Find their common denominator.

9/200

= 9×3 / 200×3

= 27/600

The total percentage of shirts in pink and orange

= (27/600 + 69/600) × 100%

= 96/600 × 100%

= 16%

The percentage of the shirts which are not pink or orange

= 1 - 16%

= 84%

3 0
3 years ago
Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
Fantom [35]

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

7 0
3 years ago
Jeff company issues a
professor190 [17]
<span>Jeff Company issues a promissory note to David Company to get extended time on an account payable. David records this transaction by debiting </span>
6 0
3 years ago
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