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NARA [144]
3 years ago
7

Finding the complement or supplement of an angle givien a figure​

Mathematics
1 answer:
Vesna [10]3 years ago
5 0
Supplement is 180 degrees complement is 90 degrees
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Find the value of x please and thank you
Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

\angle DE F\cong \angle GEH          (Common angle)

\angle EDF\cong \angle EGH          (Corresponding angle)

\Delta DE F\sim \Delta GEH             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

\dfrac{DE}{GE}=\dfrac{DF}{GH}

\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}

\dfrac{x+14}{x+5}=2

x+14=2(x+5)

x+14=2x+10

Isolating variable terms, we get

x-2x=-14+10

-x=-4

x=4

Therefore, the value of x is equal to 4.

3 0
2 years ago
Which dimensions can create only one unique triangle?
daser333 [38]

The correct answer is B.

Good luck!!!

5 0
3 years ago
Read 2 more answers
Simplify 7(x - 2) - 4x + 9​
DaniilM [7]
First, multiply. 7x-14-4x+9. Now, add the like terms. 3x-5.
7 0
3 years ago
Read 2 more answers
Evaluate for x=4 and y=-3 write in simplest form<br> 2y/x2
lorasvet [3.4K]

Hello from MrBillDoesMath!

Answer:

I think your formula  (2y/x2) is equivalent to

(2*y)/(x^2)      where x^2 means x-squared.

If so, then

(2*y)/(x^2) = (2*3)/(4*4) = 6/16 = 3/8

Thank you,

MrB

7 0
3 years ago
PIUWawilities
blondinia [14]

Answer:

23.44%

Step-by-step explanation:

The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5

= 0.01116

There are 7C2 ways of the  2 4's  being in different positions

= 7*6 / 2 = 21 ways.

So the required probability =  0.01116 * 21

= 0.2344 or 23.44%.

3 0
3 years ago
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