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3 years ago

Find the angle measures given the figure is a rhombus

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°

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The boiling point of jet fuel is 329°

natka813 [3]

Since, the boiling point of jet fuel = 329 °F

We have to convert the boiling point of jet fuel in $^\circ C$ .

The expression which is used to convert $^\circ F$ to $^\circ C$ is given by:

C = $\frac{5}{9}(F-32)$

= $\frac{5}{9}(329-32)$

= $\frac{5}{9}(297)$

= 165 $^\circ C$

Therefore, the boiling point of jet fuel is 165 $^\circ C$ .

8 0

3 years ago

Read 2 more answers

A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey i

Nostrana [21]

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

$10+x+2x=70$

Then, you can simply solve for x:

$10+3x=70\\3x=60\\x=20$

The man traveled 20km by train.

$10+(20)+2(20)=70\\10+20+40=70\\70=70$

3 0

2 years ago

Evaluate the function when x = - 2, 0 and 5.

aleksandrvk [35]

-2 = 12
0 = 2
5 = -23

6 0

2 years ago

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas.The total weight of her purchases was 7 1

Rufina [12.5K]

The bag of grapefruit weighs 3 and 11/16
first: find a common denominator of 1/2, 5/8, and 3/16; 16 is the least common multiple.
16 divided by 2 is 8, so we multiply 1 by 8 and have 8/16
16 divided by 8 is 2, so we multiply 5 by 2 and have 10/16.
now, the three quantities given are 1 and 10/16, 2 and 3/16, and 7 and 8/16.
then, we subtract 1 and 10/16 from 7 and 8/16
7 8/16
- 1 10/16
this is 5 and 7/8, or 5 and 14/16

then, we subtract 2 and 3/16 from 5 and 14/16 to get 3 and 11/16

there you have it :)

4 0

3 years ago

1) If a polynomial is divided by a binomial and the remainder is 0, what does this tell you about the relationship between the b

klemol [59]

<h2>The binomial is a factor of the polynomial.</h2>

Step-by-step explanation:

If a polynomial is divided by a binomial and the remainder is 0.

Then the binomial is a factor of the polynomial.

If a polynomial g(x) is divided by (x-a) ,it gives g(a) as remainder

Then g(x) = (x-a) Q(x) + g(a)

Hera g(a) = 0

So, g(x) = (x-a) Q(x)

It shows that (x-a) is a factor of g(x)

4 0

3 years ago