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Komok [63]
3 years ago
5

Someone quickly help! thanks!

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

x=23°; θ=87°

Step-by-step explanation:

These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

93+(3x+18)=180

Now, using algebra, we can solve for x:

111+3x=180

3x=69

x=23

Plugging x back into the equation, we get:

3(23)+18=87

Therefore, the total angle is equal to 87° and x is equal to 23°.

Hope this helps!

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Find the area of the figure shown below and type your result in the empty box.
marusya05 [52]
The answer is 150 because you first find the area of the square which is 10x10=100 and then you find the area of the triangle which is 10x10=100 divide by 2 will give you 50 so 100+50=150 hope this helps :)
3 0
3 years ago
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6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
vova2212 [387]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

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B=25\sqrt{3}\ in^{2}

substitute

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4 0
3 years ago
What is the outlier of 29, 2, 28, 30, 26, 31
Vladimir [108]

Answer:

2

Step-by-step explanation:

Given the data : 29, 2, 28, 30, 26, 31

Outlier ;

Lower :Q1 - (1.5 * IQR)

Upper : Q3 + (1.5 * IQR)

Q1 = Lower quartile ; Q3 = upper quartile ; IQR = Interquartile range

Using calculator :

Q1 = 26

Q3 = 30

IQR = (Q3 - Q1) = 30 - 26 = 4

Lower : 26 - (1.5 * 4) = 20

Upper : 30 + (1.5 * 4) = 36

Hence, the number in the given data which falls outside the range is 2

4 0
3 years ago
If A = 3x power 2+2y + 2 and B=6x power 2 - 8y + 1 then A+B and A-B​
ollegr [7]

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

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

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

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3 years ago
If Luis makes orange soda by mixing 4 liters of orange juice with 5 liters of soda water, what amount of orange juice should he
aniked [119]

Answer:

B

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because you would double the amout of oj so 4+4=8 then also use 10 liters of soda

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