All categories

2 years ago

What is the measure of

Mathematics

2 answers:

sesenic [268]2 years ago

3 0

Answer: C. 84

Step-by-step explanation:

In triangles ABD y BCD:

- AD=CD

- Angle BAD = angle BCD

- BD common side

THEN the triangles are equal because they have two sides and the angle opposite the longest side respectively equal.

CBD = ABD = 42 because the triangles ABD y BCD are equal

ABC = CBD+ABD = 42+42= 84

Blababa [14]2 years ago

3 0

Answer: 84

Step-by-step explanation: apex

You might be interested in

An earthquake can be felt in a circular pattern from the epicenter. If the equation of this pattern is x2 + y2 = 2500, how many

kondor19780726 [428]

The radius of the circle ( which is the same as the distance from the epicenter) = square root of 2500 which is 50

Answer is 50 miles.

5 0

3 years ago

Read 2 more answers

Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the numb

Cerrena [4.2K]

Answer:

The number of dimes is 14 and the number of quarters is 7.

Step-by-step explanation:

Given:

Emily has $3.15 worth of dimes and quarters.

She has twice as many dimes as quarters.

Now, to determine the number of dimes and the number of quarters.

Let the number of quarters be $x.$

And the number of dimes be $2x.$

So, the total worth of dimes and quarters = $3.15.

Now, to get the number of dimes and quarters:

According to question:

$0.10(2x)+0.25x=3.15$

$0.20x+0.25x=3.15$

$0.45x=3.15$

Dividing both sides by 0.45 we get:

$x=7.$

Thus, the number of quarters = 7.

So, the number of dimes = $2x=2\times 7=14.$

Therefore, the number of dimes is 14 and the number of quarters is 7.

6 0

2 years ago

−2 = 3 9 x equals what? Please answer this is due 10/14/18

Vlada [557]

-2 = 39x ? Are you sure this is right? I'm willing to help!

6 0

3 years ago

What is the measure of angle 1? 36° 86° 89° 94°

den301095 [7]

Answer:

94°

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:

180 = (29 + 65 + m∠2)

= 180 - 94 = m∠2

= m∠2 = 86°

Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:

180 - 86 = 94°

m∠1 = 94°.

The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:

m∠1 = 29 + 65

m∠1 = 94°.

3 0

2 years ago

Read 2 more answers

A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay

Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0

3 years ago