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1 year ago

For circle O, and m∠ABC = 55°. In the figure, ∠ and ∠ have measures equal to 35°.

Mathematics

1 answer:

snow_lady [41]1 year ago

7 0

Answer:

In the figure ∠ABO and ∠BCO have measures equal to 35°.

Step-by-step explanation:

Measure of arc AD = 180-measure of arc CD= 180-125 =55

m<AOB= 55 ( measure of central angle is equal to intercepted arc)

<OAB= 90 degrees (Tangent makes an angle of 90 degrees with the radius)

In triangle AOB ,

< AB0 = 180-(90+55)= 35 degrees( angle sum property of triangle)

In triange BOC ,< BOC=125 ,

m<, BCO=35 degrees

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Henry is asked to find the exact value of cos 10pi/3. His steps are shown below.

nata0808 [166]

Answer:

A) The reference angle should be $\frac{\pi }{3}$ , and the sign of the value should be negative.

Step-by-step explanation:

cos( $\frac{10\pi }{3}$ )

Remove full rotations of 2π until the angle is between 0 and 2 $\pi$ .

cos( $\frac{4\pi }{3}$ )

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

-cos( $\frac{\pi }{3}$ )

The exact value of cos( $\frac{\pi }{3}$ ) is $\frac{1}{2}$ .

− $\frac{1}{2}$

8 0

2 years ago

Read 2 more answers

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

Alborosie

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar ⇒ answer D

Step-by-step explanation:

Let us revise the cases of similarity

1. AAA similarity : two triangles are similar if all three angles in the first

triangle equal the corresponding angle in the second triangle

2. AA similarity : If two angles of one triangle are equal to the

corresponding angles of the other triangle, then the two triangles

are similar.

3. SSS similarity : If the corresponding sides of the two triangles are

proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides

are proportional and the included angles are equal then the two

triangles are similar.

In the two triangles BAC and CED

∵ m∠BAC = 17°

∵ m∠CED = 17°

∴ m∠BAC = m∠CED

But we need another pair of angles to prove that the two triangles are

similar by AA similarity criterion

OR 

The lengths of sides BA , CA and CE , DE to show that

$\frac{BA}{CE}=\frac{CA}{DE}$ = constant ratio and prove that the

two triangles are similar by SAS similarity criterion

So it is not possible to prove that the two triangles are similar

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar

Learn more:

You can learn more about triangles in brainly.com/question/4354581

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers

Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their

algol [13]

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

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2 years ago

Upper A baseball organization tests players to see whether they are using performance-enhancing drugs. Officials select a team

aleksklad [387]

Answer:

Cluster sampling

Step-by-step explanation:

Missing part of Question

Find:

a) Which type of sample is this?

b) Is it the correct choice ?

Solution:

- Simple random sample is the one in which every individual would have equal chance of being selected.

- Stratified random sample draws simple random sample from the independent sub-groups.

- Systematic sampling is letting every kth individual be in the sample ( k as an integer )

- Convenience sampling is used for example voluntary response or a sub-group from the population.

Cluster sampling was used in our case because one of all the teams were chosen and this entire team is in this sample.

No. This method has limitation of giving us a shortsighted view which lacks the overview on the use of performance-enhancing drugs, we can only use this sample to draw conclusions on the team.

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2 years ago

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mel-nik [20]

Step-by-step explanation:

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