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1 year ago

A,B,C,D are points on the circumference of a circle centre o

Mathematics

1 answer:

Marina86 [1]1 year ago

7 0

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

<h3>How to determine the measure of angle BAD?</h3>

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

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2 years ago

I’m the triangle shown below what is the approximate value of x

Dafna1 [17]

Answer:

The answer is choice B: 22.52 units.

Step-by-step explanation:

We use the Pythagoras's theorem which says for a right triangle with sides $x,y$ and hypotenuse $z$ :

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In our case

$z=26$

$y=13$

So we solve for $x:$

$x=\sqrt{z^2-y^2}=\sqrt{26^2-13^2} =\boxed{22.52\: units.}$

Which is choice B.

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3 years ago

X + 5 ≤ 13 what's the answer for this question?

wariber [46]

Answer:

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

Step-by-step explanation:

x + 5 ≤ 13

Subtract 5 on both sides...

13 - 5 = 8

You're left with x ≤ 8

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

6 0

2 years ago

A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too

expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

$232x=212x+424\\232x-212x=424\\20x=424$

Dividing both sides by 20

$\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours$

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

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3 years ago

I really need a good explanation on how to solve this, not just the answer please please please..

Alchen [17]

Answer:

Step-by-step explanation:

Mean = add all the numbers up and divide by how many numbers you added

So add (x +120 + 112 + 130 + 128 + 124 ) divided by 6 =118

x is the score you are looking for and 118 is the average he wants

so (x + 614 ) divided by 6 =118

now multiply both sides by 6

x + 614 = 118 times 6

x + 614 = 708

subtract 614 from both sides

x = 94

4 0

2 years ago