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densk [106]
3 years ago
8

Plz help me do this branniest to whoever right

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

<1 = 114° and <2 = 66°

Step-by-step explanation:

The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.

Explanation:

Supplementary angles are two angles with a sum of 180 degrees.

Let the smaller angle = x

If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals

x+48

.

The sum of the two angles is 180, so...

x+x+48=180

Add the variableterms

2x+48=180

Subtract 48 from both sides

2x=132

Divide both sides by 2

2x/2=132/2

x=66

This is the measure of the smaller angle.

The bigger angle = x+48=114

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the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the
dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}

w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

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For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

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Answer:

1) Ordered pairs are (9,5), (11,8) , (13,11), (15,14)

2) Ordered pairs are (20,20) ,(16,17), (12,14), (8,11)

3) Ordered pairs are     (1,40),(3,22), (7,13), (15,7.5)

Step-by-step explanation:

1) Rule 1: Add 2 starting from 9

Rule 2: Add 3 starting from 5

Sequence 1 is generated using Rule 1 so, it starts with 9 and we add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 5 and we add 3 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

9                           5                           (9,5)

11                          8                           (11,8)

13                          11                           (13,11)

15                          14                           (15,14)

2) Rule 1: Subtract 4 starting from 20

Rule 2: Subtract 3 starting from 20

Sequence 1 is generated using Rule 1 so, it starts with 20 and we subtract 4 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 20 and we subtract 3 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

20                         20                        (20,20)

16                          17                         (16,17)

12                          14                         (12,14)

8                            11                         (8,11)

3) Rule 1: Multiply by 2 then add 1 starting from 1

Rule 2: Divide by 2 then add 4 starting from 40

Sequence 1 is generated using Rule 1 so, it starts with 1 and then we multiply by 2 and then add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 40 and then we multiply by 2 and add 2 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

1                           40                            (1,40)

3                           22                          (3,22)

7                           13                            (7,13)

15                          7.5                           (15,7.5)

7 0
3 years ago
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