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sdas [7]
2 years ago
6

The angles in a quadilateral are are 61,4x,115,96 degrees, find the value of X.​

Mathematics
1 answer:
icang [17]2 years ago
7 0

Answer:

x = <u>22</u>

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360°. This can be written as:

 61° + 115° + 96° + 4x = 360°

Further simply and solve to find the value of x.

 272° + 4x = 360°

 4x = 360° - 272°

 4x = 88

 x = \frac{88}{4}

 ∴ x = 22

You might be interested in
If f(x)=6x-7 and g(x)= -3x-8 what is f(g(6))
DaniilM [7]

Answer:

-151

Step-by-step explanation:

first find the value of g(6)

g(6) = -3 × 6 - 8 ➡-24

then put this value fir f(g(6))

f(-24) = 6 × -24 -7 ➡ -151

3 0
3 years ago
Find the value of x. (Type an integer or decimal.)
SOVA2 [1]

Answer:

70

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

250 - 110 = 140

140 / 2 = 70

Hence, x = 70

6 0
2 years ago
John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the tab
matrenka [14]

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

a^{2} + b^{2} = c^{2}

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

32^{2} + 26^{2} = c^{2}

1024 + 676 = c^{2}

1700 = c^{2}

The square root of 1700 is (rounded to the hundreth's place) = 41.23

6 0
2 years ago
James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 2cm, one
DedPeter [7]
<span>Each sphere of ice has a radius of 2cm
</span>one tray makes 6 spheres
<span>What is the total volume of ice the tray can make at one time?

Total volume of each sphere is </span><span>33.51 cm^3
The tray can hold 6 of these at a time
33.5 * 6
201 cm^3 total volume of ice that the tray can make at one time
Written in pi 
64 \pi cm^3

Hope this helps :)</span>
6 0
3 years ago
5. Solve each equation.<br>a.<br>6(3x - 5) - 7x = 25​
Ivahew [28]

Answer:

Step 1: Simplify both sides of the equation.

6(3x−5)−7x=25

(6)(3x)+(6)(−5)+−7x=25(Distribute)

18x+−30+−7x=25

(18x+−7x)+(−30)=25(Combine Like Terms)

11x+−30=25

11x−30=25

Step 2: Add 30 to both sides.

11x−30+30=25+30

11x=55

Step 3: Divide both sides by 11.

x=5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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