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Tomtit [17]
3 years ago
7

Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equal

s the measure of the adjacent interior angle. always
Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

I believe it is never

Step-by-step explanation:

Sorry if I'm wrong ...

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Meow help me pls :(((
pentagon [3]

Answer:

a) 3x-5=16

b) 30cm

Step-by-step explanation:

a) 5(x-1)=2(x+8)

   5x-5=2x+16

   5x-2x-5=16

      3x-5=16

b) solving the equation gives x=7

put x=7 into first line, 5(7-1)=30cm

to check we can place it into second one as well

2(7+8)=30cm

   

5 0
3 years ago
Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees
storchak [24]

Answer:

A=34\ units^2

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

A = 30\°\\\\B = 45\°\\\\b = 10

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

A + B + C = 180\\\\30 + 45 + C = 180

We solve the equation and thus we find the angle C.

C = 180 - 30-45\\\\C = 105

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then

\frac{sin(30)}{a}=\frac{sin(45)}{10}

\frac{sin(30)}{\frac{sin(45)}{10}}=a

a=7.071

Also

\frac{sin(105)}{c}=\frac{sin(45)}{10}

\frac{sin(105)}{\frac{sin(45)}{10}}=c

c=13.660

Finally, we use the Heron formula to calculate the triangle area

A=\sqrt{s(s-a)(s-b)(s-c)}

Where s is:

s=\frac{a+b+c}{2}

Therefore

s=\frac{7.071+10+13.660}{2}

s=15.37

A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}

A=34\ units^2

3 0
3 years ago
In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.
Ann [662]

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In\odot Z QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3 units

Since, perpendicular dropped from the center of the circle bisects the chord.

\therefore SV = \frac{1}{2} ST

\therefore SV = \frac{1}{2} \times 4

\therefore SV = 2\: units

3 0
3 years ago
A student who is 5 ft 6 in. tall measured shadows
irakobra [83]

Answer:

lunar model

there really isnt anything to explain

5 0
3 years ago
The formula A=6s² gives the suface area A of a cube with a side length s. What is the suface area of a cube that has a side leng
Salsk061 [2.6K]

Answer:

150 square inches.

Step-by-step explanation:

Since the surface area of a cube is 6 times the square of the side length of the cube, then that means the surface area of a cube that has a side length of 5 has a surface area of 6 x 5 x 5. 5 times 5 = 25, and 25 x 6 = 150

3 0
2 years ago
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