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Mandarinka [93]
3 years ago
14

Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer:

140°

Step-by-step explanation:

Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

The value of the smallest angle is given as:

= 3/8 of the 160 angle

=3/8 × 160°

= 60°

The sum of the total angle = 360°

Hence:

360° = 60° + 160° + a

a = 360° - (60° + 160°)

a = 360° - 220°

a = 140°

Therefore, a = 140°

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The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).
Vikki [24]

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

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3 0
3 years ago
A projector displays an image on a wall. the area(in square feet) of the rectangular projection can be represented by
andrew-mc [135]

Answer:

The height of the projection will be (x - 5) feet.

Step-by-step explanation:

A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).

Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).

Here, (x² - 8x + 15)

= x² - 3x - 5x + 15

= (x- 3)(x - 5)

Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)

3 0
3 years ago
Solve. 2a + 3b = 5 6= a -5 a = 4 b = -1 1 a = 6 b=1 a=6 6 = -1 a=4 6 = 1<br>​
slamgirl [31]

Answer:Solve. 2a + 3b = 5 6= a -5 a = 4 b = -1 1 a = 6 b=1 a=6 6 = -1 a=4 6 = 1

Step-by-step explanation:

3 0
3 years ago
19)
Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

3(x + 2) + x = 2x + 16

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20

Putting x = 3

3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22

Putting x=4

3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24

Putting x = 5

3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0
2 years ago
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