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Helga [31]
3 years ago
8

A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale I NEED HELP ANYONE?

Mathematics
2 answers:
Anni [7]3 years ago
5 0

Answer:

<em>x = 81°</em>

Step-by-step explanation:

<u>Angles in a triangle</u>

The sum of internal angles of a triangle is 180°

Angle x is an internal angle of the triangle shown in the figure below, where another angle y has been added.

For the construction of the figure, y is the supplementary angle of 105°, thus:

y = 180° - 105° = 75°

The internal angles of the triangle must comply:

24° + 75° + x = 180°

Solving for x:

x = 180° - 24° - 75°

x = 81°

andriy [413]3 years ago
3 0

Answer:

X=81°

Step-by-step explanation:

24+75=x

U have to get 180°

So just add 24 + 75 and get 99 then subtract 99 from 180 and get 81

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Step-by-step explanation:

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8 0
3 years ago
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a farmer planted 4 acres of soybeans for every 9 acres of corn. he planted a total of 400 acres. how many total acres of soybean
Tomtit [17]
Lets have 4x acres of soybeans , then it is going to be 9x acres of corn
(4x/9x=4/9)
Altogether we have (4x+9x) acres 
Altogether he planted 400  acres
So, we can write
4x+9x=400
13x=400
x=400/13

4x acres of soybeans  
4*400/13≈123 acres of soybeans
3 0
3 years ago
Find the volume of the rectangular prism: 1\frac{1}{2}\ \textit{inches},\ 2\frac{1}{2}\textit{inches},\ \ 3\ \textit{inches}1 2
loris [4]

Answer:

\dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3

Step-by-step explanation:

Dimensions of prism

1\dfrac{1}{2}=\dfrac{3}{2}\ \text{inches}

2\dfrac{1}{2}=\dfrac{5}{2}\ \text{inches}

3\ \text{inches}

Volume is given by

V=\dfrac{3}{2}\times \dfrac{5}{2}\times 3=\dfrac{45}{4}\ \text{inches}^3\\ \text{or }11\dfrac{1}{4}\ \text{inches}^3

The volume of the rectangular prism is \dfrac{45}{4}\ \text{inches}^3\ \text{or }11\dfrac{1}{4}\ \text{inches}^3.

8 0
3 years ago
Find the distance between (2,3) and (5,8)
Orlov [11]
Use pythagorean theorem
a^2+b^2=c^2

first find the difference of between the 2 points to find the legnth of the legs

distance between 2 and 5=3
distance between 3 and 8=5 so


3^2+5^2=c^2
9+25=c^2
34=c^2
√34=c

the ligit formula is
c= \sqrt{(x1-x2)^2+(y1-y2)^2}

6 0
3 years ago
Find the circumference of a circle whose radius is 2/5m​
Oksanka [162]

Answer:

.5024

Step-by-step explanation:

7 0
3 years ago
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