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Elden [556K]
2 years ago
10

What is the value of x? Two lines are intersecting. The angle at the top is labeled x + 23 degrees. The angle formed at the bott

om is labeled 2 x + 4 degrees.
Mathematics
1 answer:
12345 [234]2 years ago
5 0

Answer:

x= 19 degrees

Step-by-step explanation:

When two lines intersect the angles formed at the vertex opposite to each other are equal. This is one of the properties of the intersecting lines.

Intersecting lines have equal opposite angles so both angles given are equal as one is at the top and the other is at the bottom that is they are opposite to each other.

Putting in equation

x+23= 2x+ 4

Solving

-4+ 23= 2x-x

or

2x-x= 23-4

x= 19 degrees

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T (10 x k) solve if t=2 and k=6 show work please
grigory [225]

Answer:

120

Step-by-step explanation:

If t=2 and k=6 then this is what you do:

- 2(10*6)

- 10*6=60

- 2*60=120

HOPE THIS HELPS!

5 0
3 years ago
The ratio of the areas of two similar
Sergeu [11.5K]

Answer:

The base length of the larger parallelogram is 112 centimeters

Step-by-step explanation:

Since the ratio is 4:1, we multiply the length of the smaller base (28), by 4 to find the length of the larger base.

4 x 28 is 112.

Hope this helped!

6 0
1 year ago
7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,
hjlf

Answer:

If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

Step-by-step explanation:

Given that:

The absolute value function:

d(h) = \dfrac{1}{6}|h - 300| - 50

To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.

d(h) = -20

d(h) = \dfrac{1}{6}|h - 300| - 50 = -20

Let us add the sum of 50 on both sides, then:

= \dfrac{1}{6}|h - 300| - 50+50 = -20+50

= \dfrac{1}{6}|h - 300| = 30

By multiplying 6 on both sides, we have:

|h - 300| = 30 (6)

|h - 300| = 180

We can attempt the above expression by rewriting it as two equations:

h - 300 = 180   or     h  - 300  = - 180

Let us add 300 to both sides from the two expressions above:

h - 300 + 300 = 180 + 300     or   h - 300 + 300   = -180  + 300

h = 480     or  h = 120

Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

8 0
2 years ago
Suppose S is between R and T. Use the Segment Addition Postulate to solve for z.. RS=2z+6, ST=4z−3, RT=5z+12
Lynna [10]

Answer:

9

Step-by-step explanation:

If S is between R and T, then RS+ST = RT

Given the following parameters

RS=2z+6,

ST=4z−3,

RT=5z+12

On substituting

2z+6+4z-3 = 5z+12

Collect like terms

2z+4z-5z = 12+3-6

6z-5z = 15-6

z = 9

Hence the value of z is 9

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3 years ago
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