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scoundrel [369]
3 years ago
6

: Find the angle measures given the figure is a rhombus.

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral (has four sides). For a rhombus: opposite sides are equal, opposite angles are equal, all the sides are equal, the diagonals bisect each other, adjacent angles are supplementary, diagonals bisect the angles.

From the diagram below since adjacent angles of a rhombus are supplementary therefore:

32° + 2∠1 (diagonals bisect the angles) = 180

2∠1 = 180 - 32

2∠1 = 148

∠1 = 148 / 2

∠1 = 74°

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Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)
denis23 [38]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = \frac{opposite}{adjacent} = \frac{18}{a}

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = \frac{18}{tan48} ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = \frac{opposite}{hypotenuse} = \frac{18}{c}

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = \frac{18}{sin48} ≈ 24.2 ( to the nearest tenth )

4 0
3 years ago
Write an equation of the line that passes through the given point and has the given slope.
ycow [4]

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

5 0
3 years ago
How do i do this? it doesn't make sense
Genrish500 [490]

Answer:

The answer is B. 581/90

Step-by-step explanation:

just divide 581 by 90 and you'll find that it is equivelent to 6.4<u>5</u>

<u />

Hope that helps!

5 0
2 years ago
Read 2 more answers
Rudolf has a pool that has a diameter of about 24.26 mm. What is the area of the pool in terms of pi
bonufazy [111]

Answer:

   = 147.1369 pi

Step-by-step explanation:

The diameter is 24.26

The radius is d/2 = 24.26/2 =12.13

The area of a circle is

A = pi r^2

   = pi (12.13)^2

   = 147.1369 pi

6 0
3 years ago
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Ryan owns 3/8 of a florist shop worth 76,000. what is value of ryan's share of the business ?
Roman55 [17]
To find 3/8 of 76,000, multiply the two numbers.

3/8*76000/1= 228000/8

228000/8= 28500

Final answer: $28,500
7 0
3 years ago
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