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inna [77]
3 years ago
9

Distribute 3(7x - 8)

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

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(4x + 17)<br> What is the measure of AC ?<br> Enter your answer in the box.<br> (4x – 3.5)
Natasha2012 [34]

Answer: AC=41\°

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".

The following formula is used to calculate the measure of an Inscribed angle:

Inscribed\ angle = \frac{1}{2}\ Intercepted\ Arc

You can identify in the figure that:

Inscribed\ angle=ABC=(4x -3.5)\\\\Intercepted\ Arc=AC=(4x + 17)

Then you can substitute values into the formula and solve for "x":

(4x -3.5)= \frac{1}{2}(4x + 17)\\\\8x-7=4x+17\\\\4x=24\\\\x=6

Then, AC is:

AC=(4(6)+ 17)\\\\AC=24+17\\\\AC=41\°

3 0
4 years ago
The equation is 2(4x-11)=10 and how do you divide each side of the equation by 2.
Ierofanga [76]

Answer:

4x-11=5

Step-by-step explanation:

If u were to divide each side of the equation by 2, the 2 on the left which is supposed to distribute into the parenthesis would disappear, and the 10 on the right side would turn into 5.

What is left is this,

4x-11=5

7 0
3 years ago
Your school is choosing a new school mascot to represent all team sports. which group should you ask to get a random sample of s
ser-zykov [4K]
Answer: B. Every 10th students that enters the cafeteria

Explanation:

B is a random sample, while A, C, and D are biased.
5 0
3 years ago
Classify each pair of angels listed below as adjacent or vertical.
Stolb23 [73]

Answer:

ntersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

5 0
3 years ago
a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to
gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

(682\frac{2}{3})\pi\ in^{3}  or  2,144.6\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

r=16/2=8\ in ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}

convert to mixed number

\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}

(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}

6 0
4 years ago
Read 2 more answers
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