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3 years ago

What is the measure of angle ADC

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The measure of the arc will always be double the measure of the angle.

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In the diagram m ∠ 3 = x + 30 and m ∠ 4 = 2x - 80. What is the measure of angle 3?

Juli2301 [7.4K]

Answer:

140 degrees

Step-by-step explanation:

Due to ∠3 and ∠4 being vertical angles (they are across from one another) their measures are the same, therefore:

⇒ m∠3=m∠4

and since their measures are given in terms of x to find x just substitute:

⇒ x+30=2x-80 ⇒ x=110

We substitute x in m∠3=x+30 and find that m∠3=140 degrees

7 0

4 years ago

Read 2 more answers

A trellis consists of overlapping wooden slats.

mars1129 [50]

The value of x in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)° =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

Learn more about angle.

brainly.com/question/13954458

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5 0

2 years ago

Find the circumference of a circle with the area of 95.03 m<br><br><img src="https://tex.z-dn.net/?f=c%20%3D%202%5Cpi%20%5C%3A%2

Anna [14]

We know that
[area of a circle]=pi*r²---------> r=√[area/pi]
for
A=95.03 m²
r=√[95.03/pi]--------> r=5.50 m

[circumference]=2*pi*r------> 2*pi*5.5--------> 34.56 m

the answer is
34.56 m

8 0

4 years ago

A jazz concert brought in $134,000 on the sale of 8,500 tickets. If the tickets sold for $10 and $20 each, how many of each type

WINSTONCH [101]

Answer:

3600 $10 tickets

4900 $20 tickets

Step-by-step explanation:

We can use variables to represent the different types of tickets. Let "x" represent the amount of $10 tickets and "y" represent the amount of $20 tickets. Now we can set up a system of equations.

<h3>Setting up a System of Equations</h3>

We know that in total, 8500 tickets were sold. Therefore...

$x+y=8500$

Or in other words, "the amount of $10 tickets plus the amount of $20 tickets is equivalent to 8500 tickets in total".

We also know that $134,000 was made. Therefore...

$10x+20y=134000$

Or in other words, "10 times the amount of $10 tickets plus the 20 times the amount of $20 tickets is equivalent to 134000". Notice that since each ticket costs $10/$20, we have to multiply each variable by that value. We can now solve this system of equations.

<h3>Solving the System of Equations</h3>

$x+y=8500\\10x+20x=134000$

We can solve this system of equations using the elimination method. First, make either the x or y value equivalent in both equations. To do this, we can multiply a whole equation by a certain value.

Multiply the first equation by 10:

$10x+10y=85000\\10x+20y=134000$