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irga5000 [103]
3 years ago
14

In the following figure, line DG is tangent to point A at F; line EC and line EH are tangent segments. If CE = 18, find HE.

Mathematics
1 answer:
gogolik [260]3 years ago
8 0
<span>lengths of tangents drawn from an external point are equal  </span>⇒ 
HE = CE = 18 units.
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Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fl
nasty-shy [4]

Answer:

The dog has the name Sammy.

Step-by-step explanation:

A cat and dog cannot be green, therefore the bird is Fluffly.

Noodles must be the cat since it's younger than the bird and the dog.

The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.

8 0
3 years ago
If y varies directly as x, what is the value of y in (4,16) and (2,y)
miss Akunina [59]
Y varies directly with x means y = kx or y/x = k where k is the constant of variation (slope)

Using \frac{y}{x} = \frac{y}{x} we can plug in the x and y values from the given points.

We get the following proportion:
\frac{16}{4} = \frac{y}{2}
32 = 4y ← cross multiply
8 = y ← divide both sides by 4

ANSWER: y = 8
3 0
3 years ago
X/8 - 1/2 = 6 What is the correct way to solve this?
aleksandr82 [10.1K]

I believe the correct answer is X=52X-4=58

Step-by-step explanation:

\frac{X}{8} -\frac{1}{2} = 6

1. We now multiply all sides by 8:

{\frac{X}{8}}\times8 -{\frac{1}{2}}\times8 = 6\times8

2. Solve for 8 on all ratios and numbers:

X-4=48

3. Carry the 48  to the right. When you carry a number to the right side, it becomes positive and to the left it becomes negative:

X=48+4

4. Add the sum on the right:

48+4=52

5. Now fill in for X:

X=52

Let us prove it is correct....

1. Fill in the value of X with 52:

\frac{52}{8}-\frac{1}{2} =6

2. Do the fractions first and convert to 1 decimal place number:

6.5-0.5=6

3. Do the subtraction:

6.5-0.5=6

4. Now:

6=6

Thus the answer for X=52

7 0
3 years ago
TUVW is a rectangle. Find the value of x and the length of each diagonal if
Alenkinab [10]

Answer:

The value of x is 14

The length of each diagonal is 24 units

Step-by-step explanation:

Let us revise the properties of the rectangle

  • Each two opposite sides are parallel and equal
  • Its four vertices are right angles
  • Its diagonals equal each other and bisect each other

In rectangle TUVW

∵ TV and UW are its diagonals

∴ TV = UW

∵ TV = 2x - 4

∵ UW = x + 10

- Equate them to find x

∴ 2x - 4 = x + 10

- Subtract x from both sides

∴ x - 4 = 10

- Add 4 to both sides

∴ x = 14

The value of x is 14

Substitute the value of x in the expression of TV <em>OR</em> UW to find the length of each diagonal

∵ TV = 2(14) - 4

∴ TV = 28 - 4

∴ TV = 24 units

The length of each diagonal is 24 units

4 0
3 years ago
Which system of equations below has no solution?
timurjin [86]

non but third

we can solve all of them because they are parallel but third isn't.

3 0
3 years ago
Read 2 more answers
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