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3 years ago

Find the measure of each angle.

Mathematics

1 answer:

Marrrta [24]3 years ago

5 0

90= 3x + 2x
90= 5x
x= 18
one measure = 3(18)= 54
the other one= 2(18)= 36
hope this helps!

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Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record

steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

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3 years ago

The hexagon GIKMPR is regular. The dashed line segments form 30 degree angles.

Gwar [14]

Answer:

The correct option is (D).

Step-by-step explanation:

It is given that GIKMPR is regular hexagon. It means it has 6 vertices.

Since the central angle is 360 degree. Therefore the central angle between two consecutive vertices is

$\frac{360^{\circ} }{6}=60^{\circ}$

It is given that the dashed line segments form 30 degree angles.

We have rotated the hexagon about O to map PQ to RF. Since P and R are consecutive vertices, therefore the angle between them is 60 degree.

The vertex R is immediate next to the vertex P in clockwise direction.

So if we rotate the hexagon at 60 degree clockwise about O, then we can maps PQ to RF.

$360^{\circ}-60^{\circ}=300^{\circ}$

Therefore we can also rotate the hexagon at 300 degree counterclockwise about O, then we can maps PQ to RF.

Therefore option D is correct.

8 0

3 years ago

Nathan needs to sell at least 75 t shirts to get a bonus he already has sold 15 red tye dye shirts and 23 solid blue ones how ma

AnnyKZ [126]

Red shirts and blue shirts equally count to his bonus, so he has 15 + 23 = 38 shirts sold at this moment. He needs to sell 75 shirts for the bonus. We subtract our goal from what he have; 75 - 38 = 37.

The strategy here: subtract the goal (75 shirts) from what you did to get to the goal (15 shirts and 23 shirts).

Nathan needs to sell 37 more shirts for the bonus. Hope this helps.

4 0

3 years ago

Read 2 more answers

5. The measure of an intercepted arc is 86, and the measure of the inscribed angle creating the intercepted arc is 3x +

Nonamiya [84]

Answer:

Th correct option is D. 13

Therefore the value of x is 13.

Step-by-step explanation:

Given:

measure of an intercepted arc = 86°

Center Angle = 86°

measure of the inscribed angle creating the intercepted arc= (3x+4)°

Angle Inscribed in arc = (3x+4)°

To Find:

value of x = ?

Solution:

Inscribed Angle Theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

$\textrm{Angle Inscribed in arc}=\dfrac{1}{2}\textrm{Center Angle}$

Substituting the values we get

$3x+4=\dfrac{1}{2}86=43\\\\3x=39\\\\x=\dfrac{39}{3}=13\\\\x=13$

Therefore the value of x is 13.

4 0

3 years ago

Given the definitions of f(x) and g(x) below, find the value of (gºf)(-5).

jolli1 [7]

Answer:

(g ￮ f)(- 5) = 4

Step-by-step explanation:

evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then

g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4

(g ￮ f)(- 5) = 4

5 0

3 years ago