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Brrunno [24]
3 years ago
13

Geometry question. Parallel lines. “Find value of x that will make A||B”

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0

Answer:

x = 11

Step-by-step explanation:

These angles are alternate exterior angles which means they are equal to each other:

5x + 9 = 6x - 2

5x - 6x = -2 - 9

-x = -11

x = 11

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If 24, x, and 6 form the first three terms of an arithmetic sequence
AveGali [126]
<h3>Answer:  15</h3>

===============================================

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

Second term = 24-9 = 15

Third term = 15-9 = 6

We get the sequence 24, 15, 6

7 0
2 years ago
What is the slope of the line that passes through the points (0,5) (2,10)
Nadya [2.5K]

Answer:

m=5/2

Step-by-step explanation:

the equation of slope is (y2-y1)/(x2-x1)

here are the points given: (0,5), (2,10)

let's label the points:

x1=0

y1=5

x2=2

y2=10

now substitute into the equation (m is the slope)

m=(10-5)/(2-0)

subtract

m=5/2

the slope is 5/2

8 0
2 years ago
The distribution of the amount of money spent by first-time gamblers at a major casino in las vegas is approximately normal in s
Lostsunrise [7]

Solution: We are given:

\mu=600, \sigma =120

We need to find the z value corresponding to probability 0.84, in order to find the how much money almost 84% of gamblers spent at casino.

Using the standard normal table, we have:

z(0.85) = 0.9945

Now we will use the z score formula to find the required amount:

z=\frac{x-\mu}{\sigma}

0.9945=\frac{x-600}{120}

0.9945 \times 120 = x - 600

119.34 = x - 600

x = 600 + 119.34        

x = 719.34

x = 720 approximately

Therefore, almost 84% of gamblers spent more than $720 amount of money at this casino.

5 0
3 years ago
In the graph, what are the x and y coordinates of the center?
babunello [35]

Answer:

-1, 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How do i solve a triangles area​
shusha [124]

Answer:

Area = 1/2 Base x height

Step-by-step explanation:

To find the area of a triangle, multiply the base of the height and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into two triangles.

6 0
3 years ago
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